Updated on 2026/04/13

写真a

 
IKEDA KOTA
 
Organization
Undergraduate School School of Interdisciplinary Mathematical Sciences Professor
Title
Professor
External link

Degree

  • 博士（理学） ( 東北大学 )

Research Interests

  • 縮約方程式

  • 放物型偏微分方程式

  • 進行波解

  • パターン形成問題

  • Reduced system

  • 反応拡散方程式

  • Parabolic Equations

  • Traveling wave solution

  • Reaction-Diffusion equations

  • Pattern Formation

Research Areas

  • Natural sciences / Mathematical analysis

Research History

  • Meiji University   School of Interdisciplinary Mathematical Sciences   Professor

    2024.4

    　 More details

    Country/Region：Japan

    researchmap

  • Meiji University   School of Interdisciplinary Mathematical Sciences,   Associate Professor

    2014.4 - 2024.3

    　 More details

Professional Memberships

  • 日本時間生物学会

    2023.6

    　 More details

  • THE JAPANESE SOCIETY FOR MATHEMATICAL BIOLOGY

    　 More details

  • THE MATHEMATICAL SOCIETY OF JAPAN

    　 More details

  • THE JAPAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS

    　 More details

Committee Memberships

  • 日本数学会   全国区代議員（評議員）  

    2025.3 - 2026.3   

    　 More details

    Committee type：Academic society

    researchmap

  •   日本応用数理学会誌編集委員  

    2019.4 - 2022.3   

    　 More details

    Committee type：Academic society

    researchmap

  • 日本数学会   応用数学分科会委員  

    2016.10 - 2018.9   

    　 More details

    Committee type：Academic society

    researchmap

  • 日本数学会   「数学」常任編集委員  

    2014.7 - 2016.6   

    　 More details

    Committee type：Academic society

    researchmap

Papers

  • 差分微分方程式における遷移層の構成と自己誘導関数の応用

    池田 幸太, 宮路 智行

    数理解析研究所講究録   2327   2025.12

    　More details

    Authorship：Lead author   Language：Japanese   Publishing type：Research paper (bulletin of university, research institution)  

    researchmap

  • Existence of traveling wave solutions in continuous optimal velocity models Reviewed

    Kota Ikeda, Toru Kan, Toshiyuki Ogawa

    Physica D: Nonlinear Phenomena   471   134430 - 134430   2025.1

    　More details

    Authorship：Lead author   Publishing type：Research paper (scientific journal)   Publisher：Elsevier BV  

    DOI： 10.1016/j.physd.2024.134430

    researchmap

  • Existence and stability of a quasi-periodic two-dimensional motion of a self-propelled particle Reviewed

    Kota Ikeda, Hiroyuki Kitahata, Yuki Koyano

    Japan Journal of Industrial and Applied Mathematics   41 ( 3 )   1413 - 1449   2024.7

    　More details

    Authorship：Lead author   Publishing type：Research paper (scientific journal)   Publisher：Springer Science and Business Media LLC  

    Abstract

    The mechanism of self-propelled particle motion has attracted much interest in mathematical and physical understanding of the locomotion of living organisms. In a top-down approach, simple time-evolution equations are suitable for qualitatively analyzing the transition between the different types of solutions and the influence of the intrinsic symmetry of systems despite failing to quantitatively reproduce the phenomena. We aim to rigorously show the existence of the rotational, oscillatory, and quasi-periodic solutions and determine their stabilities regarding a canonical equation proposed by Koyano et al. (J Chem Phys 143(1):014117, 2015) for a self-propelled particle confined by a parabolic potential. In the proof, the original equation is reduced to a lower dimensional dynamical system by applying Fenichel’s theorem on the persistence of normally hyperbolic invariant manifolds and the averaging method. Furthermore, the averaged system is identified with essentially a one-dimensional equation because the original equation is O(2)-symmetric.

    DOI： 10.1007/s13160-024-00661-7

    researchmap

    Other Link： https://link.springer.com/article/10.1007/s13160-024-00661-7/fulltext.html

  • Center manifold theory for the 1-dimensional collective motions of camphor disks with delta functions in the L2-framework Reviewed

    Kota Ikeda

    Discrete and Continuous Dynamical Systems   43 ( 7 )   2658 - 2692   2023.7

    　More details

    Authorship：Lead author,　Corresponding author   Language：English   Publishing type：Research paper (scientific journal)  

    researchmap

  • Reproduction of bacterial chemotaxis by a non-living self-propelled object Reviewed

    Yuko Hamano, Kota Ikeda, Kenta Odagiri, Nobuhiko J. Suematsu

    Scientific reports   13 ( 1 )   8173   2023.5

    　More details

    Language：English   Publishing type：Research paper (scientific journal)  

    researchmap

  • 時間遅れ項を伴うあるFokker-Planck方程式に現れるパルス解の周期運動の数理解析

    池田 幸太, Roux Pierre, Salort Delphine, Smets Didier

    数理解析研究所講究録   2232   1 - 9   2022.11

    　More details

    Authorship：Lead author,　Corresponding author   Language：Japanese   Publishing type：Research paper (bulletin of university, research institution)  

    researchmap

  • Theoretical study of the emergence of periodic solutions for the inhibitory NNLIF neuron model with synaptic delay Reviewed

    Kota Ikeda, Pierre Roux, Delphine Salort, Didier Smets

    Mathematical Neuroscience and Applications   2   1 - 37   2022.10

    　More details

    Language：English   Publishing type：Research paper (scientific journal)  

    researchmap

  • Center Manifold Theory for the Motions of Camphor Boats with Delta Function Reviewed

    Kota Ikeda, Shin-Ichiro Ei

    Journal of Dynamics and Differential Equations   33 ( 2 )   621 - 657   2021

    　More details

    Authorship：Lead author   Language：English   Publishing type：Research paper (scientific journal)  

    researchmap

  • Spontaneous random potential spike induction across a nonliving separator intervening two aqueous solutions and the implication of its physiological meaning Reviewed

    Hirohisa Tamagawa, Hidekazu Fukai, Kota Ikeda, Titus Mulembo

    Ionics   26 ( 4 )   1989 - 2002   2020

    　More details

    Language：English   Publishing type：Research paper (scientific journal)  

    researchmap

  • Rhythmic Motion of Self-Propelled Particles Sliding on a Water Surface

    Nobuhiko J. Suematsu, Kota Ikeda, Hiraku Nishimori

    75 ( 4 )   215 - 220   2020

    　More details

    Language：Japanese   Publishing type：Research paper (scientific journal)  

    DOI： 10.11316/butsuri.75.4_215

    researchmap

  • Dynamical Quorum Sensing in Non-Living Active Matter Reviewed

    Yui Matsuda, Kota Ikeda, Yumihiko Ikura, Hiraku Nishimori, Nobuhiko J. Suematsu

    Journal of the Physical Society of Japan   88   093002   2019.8

    　More details

    Language：English   Publishing type：Research paper (scientific journal)  

    researchmap

  • Reduced model of a reaction-diffusion system for the collective motion of camphor boats Reviewed

    Kota Ikeda, Shin-Ichiro Ei, Masaharu Nagayama, Mamoru Okamoto, Akiyasu Tomoeda

    Physical Review E   99   062208   2019.6

    　More details

    Authorship：Lead author   Language：English   Publishing type：Research paper (scientific journal)  

    researchmap

  • Simultaneous Enhancement of Bending and Blocking Force of an Ionic Polymer-Metal Composite (IPMC) by the Active Use of Its Material Characteristics Change

    Hirohisa Tamagawa, Kazuki Okada, Titus Mulembo, Minoru Sasaki, Keishi Naito, Gakuji Nagai, Takahiro Nitta, Khai-Chun Yew, Kota Ikeda

    Actuators   8 ( 1 )   29 - 29   2019.3

    　More details

    Publishing type：Research paper (scientific journal)   Publisher：MDPI AG  

    The exhibition of significantly large bending is a remarkable characteristic of an ionic polymer-metal composite (IPMC). However, its inability to generate a high enough force is a major problem in achieving a practical IPMC actuator. The simultaneous enhancement of bending and force generation is needed for broadening the potential of the IPMC actuator as a practical engineering device. Corrosive materials as a flexible electrode of the IPMC is usually not preferred, whereas a noncorrosive material such as platinum is broadly used. Here, we used silver, a corrosive metal, as an IPMC electrode intentionally. The silver electrode exhibits a reversible redox reaction upon an external electric stimulation. That silver redox reaction resulted in the material characteristics change of the IPMC, and it consequently resulted in the simultaneous enhancement of the IPMC bending curvature and blocking force generation. It was further found that the thicker silver coating anchored into the far inside of the IPMC led to the occurrence of a significant silver redox reaction and it altered the material characteristics of the IPMC, consequently turning the IPMC into a greatly deformable and high force generative one.

    DOI： 10.3390/act8010029

    researchmap

  • Another interpretation of the Goldman-Hodgkin-Katz equation based on Ling's adsorption theory Reviewed

    Hirohisa Tamagawa, Kota Ikeda

    European Biophysics Journal   47 ( 9 )   869 - 879   2018.12

    　More details

    Language：English   Publishing type：Research paper (scientific journal)  

    ? 2018, European Biophysical Societies' Association. According to standard membrane theory, the generation of membrane potential is attributed to transmembrane ion transport. However, there have been a number of reports of membrane behavior in conflict with the membrane theory of cellular potential. Putting aside the membrane theory, we scrutinized the generation mechanism of membrane potential from the view of the long-dismissed adsorption theory of Ling. Ling’s adsorption theory attributes the membrane potential generation to mobile ion adsorption. Although Ling’s adsorption theory conflicts with the broadly accepted membrane theory, we found that it well reproduces experimentally observed membrane potential behavior. Our theoretical analysis finds that the potential formula based on the GHK eq., which is a fundamental concept of membrane theory, coincides with the potential formula based on Ling’s adsorption theory. Reinterpreting the permeability coefficient in the GHK eq. as the association constant between the mobile ion and adsorption site, the GHK eq. turns into the potential formula from Ling’s adsorption theory. We conclude that the membrane potential is generated by ion adsorption as Ling’s adsorption theory states and that the membrane theory of cellular potential should be amended even if not discarded.

    DOI： 10.1007/s00249-018-1332-0

    researchmap

  • Bifurcation structure of a car-following model with nonlinear dependence on the relative velocity Reviewed

    Akiyasu Tomoeda, Tomoyuki Miyaji, Kota Ikeda

    Transportmetrica A: Transport Science   14 ( 5 )   503 - 519   2018.5

    　More details

    Language：English   Publishing type：Research paper (scientific journal)   Publisher：Taylor and Francis Ltd.  

    DOI： 10.1080/23249935.2017.1351007

    Scopus

    researchmap

  • Generation of membrane potential beyond the conceptual range of Donnan theory and Goldman-Hodgkin-Katz equation Reviewed

    Hirohisa Tamagawa, Kota Ikeda

    JOURNAL OF BIOLOGICAL PHYSICS   43 ( 3 )   319 - 340   2017.9

    　More details

    Language：English   Publishing type：Research paper (scientific journal)  

    DOI： 10.1007/s10867-017-9454-7

    Web of Science

    PubMed

    researchmap

  • Computer-Aided Bifurcation Analysis for a Novel Car-Following Model with Relative Velocity Effect Reviewed

    Akiyasu Tomoeda, Tomoyuki Miyaji, Kota Ikeda

    Traffic and Granular Flow'15   387 - 394   2016.12

    　More details

    Language：English   Publishing type：Research paper (international conference proceedings)  

    researchmap

  • Regime shift in a phytoplankton-phosphorus model with vertical structure and seasonality Reviewed

    Kota Ikeda, Takeshi Miki

    Tamkang Journal of Mathematics   47 ( 1 )   109 - 125   2016.3

    　More details

    Language：English   Publishing type：Research paper (scientific journal)   Publisher：Tamkang University  

    DOI： 10.5556/j.tkjm.47.2016.1977

    Scopus

    researchmap

  • Ling’s adsorption theory as a mechanism of membrane potential generation observed in both living and nonliving systems Reviewed

    Hirohisa Tamagawa, Makoto Funatani, Kota Ikeda

    Membranes   6 ( 1 )   2016.1

    　More details

    Language：English   Publishing type：Research paper (scientific journal)   Publisher：MDPI AG  

    DOI： 10.3390/membranes6010011

    Scopus

    researchmap

  • 相対速度を考慮したある追従モデルの分岐構造について

    友枝 明保, 宮路 智行, 池田 幸太

    武蔵野大学数理工学センター紀要   1 ( 1 )   54 - 64   2016

    　More details

    Language：Japanese   Publishing type：Research paper (bulletin of university, research institution)  

    researchmap

    Other Link： https://mu.repo.nii.ac.jp/?action=pages_view_main&active_action=repository_view_main_item_detail&item_id=254&item_no=1&page_id=13&block_id=21

  • REDUCED MODEL FROM A REACTION-DIFFUSION SYSTEM OF COLLECTIVE MOTION OF CAMPHOR BOATS Reviewed

    Shin-Ichiro Ei, Kota Ikeda, Masaharu Nagayama, Akiyasu Tomoeda

    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S   8 ( 5 )   847 - 856   2015.10

    　More details

    Language：English   Publishing type：Research paper (scientific journal)  

    DOI： 10.3934/dcdss.2015.8.847

    Web of Science

    researchmap

  • INSTABILITY OF MULTI-SPOT PATTERNS IN SHADOW SYSTEMS OF REACTION-DIFFUSION EQUATIONS Reviewed

    Shin-Ichiro Ei, Kota Ikeda, Eiji Yanagida

    COMMUNICATIONS ON PURE AND APPLIED ANALYSIS   14 ( 2 )   717 - 736   2015.3

    　More details

    Language：English   Publishing type：Research paper (scientific journal)  

    DOI： 10.3934/cpaa.2015.14.717

    Web of Science

    researchmap

  • The study of dynamic characteristics of selemion CMV-based IPMC actuators in humidity-controlled environments Reviewed

    Ngetha, Harrison, Sasaki, Minoru, Tamagawa, Hirohisa, Ito, Satoshi, Ikeda, Kota

    Journal of the Japan Society of Applied Electromagnetics and Mechanics   23 ( 4 )   742 - 747   2015

    　More details

    Language：English   Publishing type：Research paper (scientific journal)   Publisher：The Japan Society of Applied Electromagnetics and Mechanics  

    IPMC (Ionic Polymer Metal Composite) actuators have numerous promising applications in designing electroactive soft motion structures. It was reported that the bending behavior of Selemion CMV-based IPMC in response to the electrical stimulation was quite susceptible to the environmental absolute humidity, and the environmental absolute humidity increase appeared to cause the unstable bending of Selemion CMV-based IPMC. Previously a circuit model for the analysis of Selemion CMV-based IPMC bending behavior was proposed and it actually resulted in quite successful prediction of bending behavior. However, it does not provide us with any information of bending stability. In this study, using Simulink - Matlab, an open loop model was built, based on the circuit model, the stability analysis of Selemion CMV-based IPMC bending was carried out.

    DOI： 10.14243/jsaem.23.742

    CiNii Research

    researchmap

    Other Link： https://jlc.jst.go.jp/DN/JLC/20019547075?from=CiNii

  • Application of a center manifold theory to a reaction-Diffusion system of collective motion of camphor disks and boats Reviewed

    Shin Ichiro Ei, Kota Ikeda, Masaharu Nagayama, Akiyasu Tomoeda

    Mathematica Bohemica   139   363 - 371   2014.1

    　More details

    ? 2014, (publisher). All rights reserved. Unidirectional motion along an annular water channel can be observed in an experiment even with only one camphor disk or boat. Moreover, the collective motion of camphor disks or boats in the water channel exhibits a homogeneous and an inhomogeneous state, depending on the number of disks or boats, which looks like a kind of bifurcation phenomena. In a theoretical research, the unidirectional motion is represented by a traveling wave solution in a model. Hence it suffices to investigate a linearized eigenvalue problem in order to prove the destabilization of a traveling wave solution. However, the eigenvalue problem is too difficult to analyze even if the number of camphor disks or boats is 2. Hence we need to make a reduction on the model. In the present paper, we apply the center manifold theory and reduce the model to an ordinary differential system.

    researchmap

  • IPMC bending predicted by the circuit and viscoelastic models considering individual influence of Faradaic and non-Faradaic currents on the bending Reviewed

    Kota Ikeda, Minoru Sasaki, Hirohisa Tamagawa

    SENSORS AND ACTUATORS B-CHEMICAL   190   954 - 967   2014.1

    　More details

    Language：English   Publishing type：Research paper (scientific journal)  

    DOI： 10.1016/j.snb.2013.09.016

    Web of Science

    researchmap

  • Curvature vs. Charge of Seleniom CMV-based IPMC Possessing the Discretely Changeable Material Characteristics Reviewed

    Ikeda, Kota, Sasaki, Minoru, Tamagawa, Hirohisa

    ARPN Journal of Science and Technology   4 ( 10 )   2014

    　More details

    Language：English   Publishing type：Research paper (scientific journal)  

    researchmap

  • Dynamic Characteristics of Selemion CMV-Based IPMC Actuators in High Humidity Environment Reviewed

    Ngetha, Harrison, Sasaki, Minoru, Tamagawa, H, Ito, Satoshi, Ikeda, K

    Journal of Computer and Communications   2   45 - 52   2014

    　More details

    Language：English   Publishing type：Research paper (scientific journal)  

    researchmap

  • THE EXISTENCE AND UNIQUENESS OF UNSTABLE EIGENVALUES FOR STRIPE PATTERNS IN THE GIERER-MEINHARDT SYSTEM Reviewed

    Kota Ikeda

    NETWORKS AND HETEROGENEOUS MEDIA   8 ( 1 )   291 - 325   2013.3

    　More details

    Language：English   Publishing type：Research paper (scientific journal)  

    DOI： 10.3934/nhm.2013.8.291

    Web of Science

    researchmap

  • TRAVELING WAVE SOLUTIONS OF A 3-COMPONENT REACTION-DIFFUSION MODEL IN SMOLDERING COMBUSTION Reviewed

    Kota Ikeda, Masayasu Mimura

    COMMUNICATIONS ON PURE AND APPLIED ANALYSIS   11 ( 1 )   275 - 305   2012.1

    　More details

    Language：English   Publishing type：Research paper (scientific journal)  

    DOI： 10.3934/cpaa.2012.11.275

    Web of Science

    researchmap

  • DYNAMICS OF A BOUNDARY SPIKE FOR THE SHADOW GIERER-MEINHARDT SYSTEM Reviewed

    Shin-Ichiro Ei, Kota Ikeda, Yasuhito Miyamoto

    COMMUNICATIONS ON PURE AND APPLIED ANALYSIS   11 ( 1 )   115 - 145   2012.1

    　More details

    Language：English   Publishing type：Research paper (scientific journal)  

    DOI： 10.3934/cpaa.2012.11.115

    Web of Science

    researchmap

  • Stability analysis for a planar traveling wave solution in an excitable system Reviewed

    Kota Ikeda

    Kokyuroku Bessatsu   B35   125 - 140   2012

    　More details

    Language：English   Publishing type：Research paper (scientific journal)   Publisher：Kyoto University  

    CiNii Research

    researchmap

  • Effective dispersal rate is a function of habitat size and corridor shape: mechanistic formulation of a two-patch compartment model for spatially continuous systems Reviewed

    Joe Yuichiro Wakano, Kota Ikeda, Takeshi Miki, Masayasu Mimura

    OIKOS   120 ( 11 )   1712 - 1720   2011.11

    　More details

    Language：English   Publishing type：Research paper (scientific journal)  

    DOI： 10.1111/j.1600-0706.2011.19074.x

    Web of Science

    researchmap

  • The 8th AIMS Conference on Dynamical Systems, Differential Equations and Applications(Conference Reports)

    Ikeda Kota

    Bulletin of the Japan Society for Industrial and Applied Mathematics   21 ( 1 )   62 - 63   2011

    　More details

    Language：Japanese   Publisher：The Japan Society for Industrial and Applied Mathematics  

    DOI： 10.11540/bjsiam.21.1_62

    CiNii Research

    researchmap

  • Existence and stability of a traveling wave solution on a 3-component reaction-diffusion model in combustion

    Kota Ikeda, Masayasu Mimura

    RIMS Kokyuroku   1693   132 - 142   2010

    　More details

    Language：English   Publisher：Kyoto University  

    CiNii Research

    researchmap

    Other Link： http://hdl.handle.net/2433/141602

  • Mathematical treatment of a model for smoldering combustion Reviewed

    Kota Ikeda, Masayasu Mimura

    HIROSHIMA MATHEMATICAL JOURNAL   38 ( 3 )   349 - 361   2008.11

    　More details

    Language：English   Publishing type：Research paper (scientific journal)  

    Web of Science

    researchmap

  • Mathematical study of smoldering combustion under micro-gravity

    Kota Ikeda, Masayasu Mimura

    Recent Advances in Nonlinear Analysis   113 - 122   2008.1

    　More details

    Language：English   Publishing type：Part of collection (book)   Publisher：World Scientific Publishing Co.  

    DOI： 10.1142/9789812709257_0007

    Scopus

    researchmap

  • Eigenfunctions of the Adjoint Operator Associated with a Pulse Solution of Some Reaction- Diffusion Systems Reviewed

    Shin-Ichiro Ei, Hideo Ikeda, Kota Ikeda, Eiji Yanagida

    Bull. Inst. Math. Acad.Sinica   603 - 666   2008

    　More details

  • Mathematical treatment of smoldering combustion under micro-gravity

    IKEDA, KOTA, MIMURA, MASAYASU

    Proceedings of Czech Japanese Seminar in Applied Mathematics 2006   6   89 - 97   2007

    　More details

    Authorship：Lead author   Language：English   Publishing type：Research paper (international conference proceedings)  

    researchmap

  • Stability analysis for a stripe solution in the Gierer-Meinhardt system Reviewed

    Kota Ikeda, Masayasu Mimura

    Advanced Studies in Pure Mathematics   47 ( 2 )   573 - 588   2007

    　More details

    Language：English   Publishing type：Research paper (international conference proceedings)  

    researchmap

  • Stripe Solutions of the Gierer-Meinhardt system on a rectangular domain

    IKEDA Kota

    Proceedings of Czech Japanese Seminar in Applied Mathematics 2006   98 - 106   2007

    　More details

    Authorship：Lead author   Language：English   Publishing type：Research paper (international conference proceedings)  

    researchmap

  • Mathematical treatment of a model for smoldering combustion

    Kota Ikeda, Masayasu Mimura

    MIMS Technical Report   113 - 124   2007

    　More details

    Authorship：Lead author   Language：English   Publishing type：Research paper (bulletin of university, research institution)  

    researchmap

▼display all

Books

  • 数学セミナー2021年7月号

    池田 幸太（【特集】分野別 この数学書を薦めたい! （微分方程式））

    日本評論社  2021.7 

    　More details

  • 数学通信 23(3)

    池田 幸太（「矢崎成俊 著：実験数学読本」の書評（pp.99-））

    日本数学会  2018.11 

    　More details

  • 応用数理・21・1

    池田 幸太（「The 8 AIMS Conference on Dynamical Systems, Differential Equations and Applications」の学術会合報告）

    日本応用数理学会  2011.3 

    　More details

MISC

Presentations

  • Analysis of traffic congestion phases in the OV model via a differential-difference equation Invited

    2025.11 

    　More details

    Event date： 2025.11

    Language：Japanese   Presentation type：Oral presentation (invited, special)  

    researchmap

  • ミクロの挙動をマクロで知る

    池田 幸太

    応用数学交流研究会2025（夏）  2025.8 

    　More details

    Event date： 2025.8

    Language：Japanese   Presentation type：Oral presentation (general)  

    researchmap

  • Analysis of traffic congestion phases in the OV model via a differential-difference equation

    Kota Ikeda, Tomoyuki Miyaji

    ACMB-JSMB2025  2025.7 

    　More details

    Event date： 2025.7

    Language：English   Presentation type：Oral presentation (general)  

    researchmap

  • 差分微分方程式における遷移層の構成と 自己誘導関数の応用

    池田 幸太, 宮路 智行

    RIMS共同研究 時間遅れ系と数理科学:理論と応用の新たな展開に向けて  2024.11 

    　More details

    Language：Japanese   Presentation type：Oral presentation (general)  

    researchmap

  • Mathematical analysis on congestion in the optimal velocity model Invited

    Kota Ikeda

    Integration of theory and application for a deeper understanding of nonlinear phenomena  2024.11 

    　More details

    Language：English   Presentation type：Oral presentation (general)  

    researchmap

  • Analysis on the congestion in the optimal velocity model by self-induced nonlinearity

    池田 幸太, 宮路 智行

    日本応用数理学会 2024 年度年会  2024.9 

    　More details

    Language：Japanese   Presentation type：Oral presentation (general)  

    researchmap

  • OVモデルにおける渋滞相の特徴づけ

    池田 幸太

    応用数学研究交流会  2024.5 

    　More details

    Language：Japanese   Presentation type：Oral presentation (general)  

    researchmap

  • 連続 OV モデルにおける進行波解の存在

    池田 幸太, 小川 知之, 菅 徹

    日本数学会2023年度秋季総合分科会  2023.9 

    　More details

    Language：Japanese   Presentation type：Oral presentation (general)  

    researchmap

  • 神経発火と細胞間相互作用を考慮した視交叉上核ネットワークモデルの検討

    池田 幸太, 小野 大輔, 末松 J. 信彦, 中村 孝博

    日本睡眠学会第45回定期学術集会・第30回日本時間生物学会学術大会 合同大会  2023.9 

    　More details

    Language：Japanese   Presentation type：Poster presentation  

    researchmap

  • Traveling wave solution in a macroscopic traffic model for the optimal velocity equation

    Kota Ikeda, Toru Kan, Toshiyuki Ogawa

    10th International Congress on Industrial and Applied Mathematics  2023.8 

    　More details

    Language：English   Presentation type：Oral presentation (general)  

    researchmap

  • 渋滞現象に対する連続モデルにおける進行波解 Invited

    池田 幸太

    反応拡散系パターンダイナミクスの新展開 栄先生応用数学賞受賞記念研究会  2023.6 

    　More details

    Language：Japanese  

    researchmap

  • Center Manifold Theory for the Motions of Camphor Boats in L2-Framework

    Kota Ikeda

    13th AIMS International Conference on Dynamical Systems, Differential Equations and Applications  2023.6 

    　More details

    Language：English   Presentation type：Oral presentation (invited, special)  

    researchmap

  • 単一自己駆動粒子における準周期運動の存在と安定性 Invited

    池田 幸太, 北畑 裕之, 小谷野 由紀

    第37回さいたま数理解析セミナー  2022.11 

    　More details

    Language：Japanese   Presentation type：Oral presentation (invited, special)  

    researchmap

  • Center manifold theory for the motions of camphor boats in L2-framework Invited

    Kota Ikeda

    One day workshop on RDS  2022.10 

    　More details

    Language：English   Presentation type：Public lecture, seminar, tutorial, course, or other speech  

    researchmap

  • 樟脳粒の集団運動における一様流の安定性解析

    池田幸太

    日本数学会 2022年度 秋季総合分科会  2022.9 

    　More details

    Language：Japanese   Presentation type：Oral presentation (general)  

    researchmap

  • Theoretical study of the emergence of periodic solutions for the inhibitory NNLIF neuron model with synaptic delay Invited

    池田 幸太, Pierre Roux, Delphine Salor, Didier Smets

    第99回 京都駅前セミナー  2022.4 

    　More details

    Language：Japanese   Presentation type：Public lecture, seminar, tutorial, course, or other speech  

    researchmap

  • Theoretical study of the emergence of periodic solutions for the inhibitory NNLIF neuron model with synaptic delay Invited International conference

    Kota Ikeda, Pierre Roux, Delphine Salort, Didier Smets

    Workshop on Mathematical Modeling and Statistical Analysis in Neuroscience  2022.2 

    　More details

    Language：English   Presentation type：Oral presentation (invited, special)  

    Venue：Institut Henri Poincaré, Paris (Online)   Country/Region：France  

    researchmap

  • Center manifold theory for the motions of camphor boats in L2-framework International conference

    Kota Ikeda

    Pacifichem 2021  2021.12 

    　More details

    Language：English   Presentation type：Poster presentation  

    Venue：Honolulu, Hawaii (Online)   Country/Region：United States  

    researchmap

  • 時間遅れ項を伴うあるFokker-Planck方程式に現れるパルス解の周期運動の数理解析

    池田 幸太

    RIMS共同研究(公開型) 時間遅れ系と数理科学:理論と応用の新たな展開に向けて  2021.11 

    　More details

    Presentation type：Oral presentation (general)  

    Venue：京都大学、京都市、京都   Country/Region：Japan  

    researchmap

  • 樟脳粒の数理モデルに対する中心多様体縮約理論

    池田 幸太

    日本数学会2021年度秋季総合分科会  2021.9 

    　More details

    Language：Japanese   Presentation type：Oral presentation (general)  

    Venue：千葉大学（オンライン）   Country/Region：Japan  

    researchmap

  • 樟脳粒の数理モデルに対する中心多様体縮約理論

    池田 幸太

    日本応用数理学会 2021年度 年会  2021.9 

    　More details

    Language：Japanese   Presentation type：Oral presentation (general)  

    Venue：芝浦工業大学（オンライン）   Country/Region：Japan  

    researchmap

  • Center manifold theory in L2-framework for the motions of camphor boats with delta function Invited International conference

    Kota Ikeda

    The 46th Sapporo Symposium on Partial Differential Equations  2021.8 

    　More details

    Language：Japanese   Presentation type：Symposium, workshop panel (nominated)  

    Venue：Hokkaido University, Sapporo, Hokkaido (Online)   Country/Region：Japan  

    researchmap

  • 樟脳船の数理モデルに対する中心多様体縮約理論の構築と適用 Invited

    池田 幸太, 栄 伸一郎, 友枝 明保, 長山 雅晴, 岡本 守

    第 731 回 応用解析研究会  2021.4 

    　More details

    Language：Japanese   Presentation type：Public lecture, seminar, tutorial, course, or other speech  

    Venue：早稲田大学 西早稲田キャンパス、東京都   Country/Region：Japan  

    researchmap

  • 時間遅れ項を伴うあるFokker-Planck方程式に現れるパルス解の周期運動の数理解析

    池田 幸太, Delphine Salort, Pierre Roux

    時間遅れと数理セミナー  2020.11 

    　More details

    Presentation type：Public lecture, seminar, tutorial, course, or other speech  

    researchmap

  • 時間遅れ項を伴うあるFokker-Planck方程式に現れるパルス解の周期運動の数理解析

    池田 幸太, Delphine Salort

    日本応用数理学会 2020年度年会, [正会員OS] 時間遅れと数理  2020.9 

    　More details

    Language：Japanese   Presentation type：Oral presentation (general)  

    researchmap

  • 樟脳船の渋滞現象に対する中心多様体縮約理論の構築と適用 Invited

    池田 幸太, 栄 伸一郎, 友枝 明保, 長山 雅晴, 岡本 守

    反応拡散方程式と非線形分散型方程式の解の挙動  2020.2 

    　More details

    Language：Japanese   Presentation type：Oral presentation (general)  

    researchmap

  • LIF モデルに対する Fokker-Planck 方程式における時間周期的な運動を示す空間非一様解

    池田 幸太, Delphine Salort, Pierre Roux

    第1回 時間遅れが誘導する現象と数理  2019.9 

    　More details

    Language：Japanese  

    researchmap

  • LIF モデルに対する Fokker-Planck 方程式における時間周期的な運動を示す空間非一様解

    池田 幸太, Delphine Salort, Pierre Roux

    日本数学会2019年度秋季総合分科会 応用数学分科会  2019.9 

    　More details

  • 樟脳船の渋滞現象に対する中心多様体縮約理論の構築と適用 Invited

    池田 幸太, 栄 伸一郎, 友枝 明保, 長山 雅晴, 岡本 守

    非線形偏微分方程式の理論と応用  2019.9 

    　More details

    Language：Japanese  

    researchmap

  • LIF モデルに対する Fokker-Planck 方程式における時間周期的な運動を示す空間非一様解

    池田 幸太, Delphine Salort, Pierre Roux

    日本応用数理学会2019年度年会  2019.9 

    　More details

    Language：Japanese   Presentation type：Oral presentation (general)  

    researchmap

  • Rayleigh–Plesset 方程式の解に対する線形化 Navier–Stokes 方程式の解の性質について

    池田 幸太, 榎本 翔太

    界面現象の数理・モデリング研究合宿2019  2019.7 

    　More details

    Language：Japanese   Presentation type：Oral presentation (general)  

    researchmap

  • 反応拡散モデル駆け込み寺 ー 適用から基礎研究への変遷 Invited

    池田 幸太

    NgMLS 研究会  2019.3 

    　More details

    Language：Japanese  

    researchmap

  • 単一自己駆動粒子モデルにおける準周期的な運動と振動運動の関係性

    池田幸太, 宮路 智行, 北畑 裕之, 小谷野 由紀, 義永 那津人

    第28回非線形反応と協同現象研究会  2018.12 

    　More details

    Language：Japanese   Presentation type：Poster presentation  

    Venue：東京工科大学, 東京都  

    researchmap

  • Reduction approach to a reaction-diffusion system for collective motions of camphor boats

    Kota Ikeda, Shin-Ichiro Ei, Masaharu Nagayama, Akiyasu Tomoeda

    Seminar on Sorbonne Université  2018.11 

    　More details

    Language：English   Presentation type：Public lecture, seminar, tutorial, course, or other speech  

    researchmap

  • デルタ関数を伴う反応拡散モデルにおける中心多様体縮約理論の構築

    池田 幸太, 栄 伸一郎, 友枝 明保, 長山 雅晴

    第一回はこだて数理解析研究集会  2018.11 

    　More details

    Language：Japanese   Presentation type：Oral presentation (general)  

    Venue：公立はこだて未来大学, 函館市, 北海道  

    researchmap

  • 単一自己駆動粒子が呈する準周期的な運動の数理解析

    池田 幸太, 宮路 智行, 北畑 裕之, 小谷野 由紀, 義永 那津人

    日本応用数理学会2018年度年会  2018.9 

    　More details

    Language：Japanese   Presentation type：Oral presentation (general)  

    Venue：名古屋大学, 名古屋市, 愛知県  

    researchmap

  • 単一自己駆動粒子が呈する準周期的な運動の数理解析

    池田幸太, 宮路 智行, 北畑 裕之, 小谷野 由紀, 義永 那津人

    札幌非線形現象研究会2018  2018.8 

    　More details

    Language：Japanese   Presentation type：Oral presentation (general)  

    Venue：北海道大学, 札幌市, 北海道  

    researchmap

  • Reduction approach to a reaction-diffusion system for collective motions of camphor boats International conference

    Kota Ikeda, Shin-Ichiro Ei, Masaharu Nagayama, Akiyasu Tomoeda

    The 12th AIMS Conference on Dynamical Systems, Differential Equations and Applications  2018.7 

    　More details

    Language：English   Presentation type：Oral presentation (general)  

    Venue：National Taiwan University, Taipei, Taiwan  

    researchmap

  • Quasi-Periodic Solution in a Dynamical System for the Motion of a Single Particle International conference

    Kota Ikeda, Hiroyuki Kitahata, Yuki Koyano, Tomoyuki Miyaji, Natsuhiko Yoshinaga

    The 12th AIMS Conference on Dynamical Systems, Differential Equations and Applications  2018.7 

    　More details

    Language：English   Presentation type：Oral presentation (general)  

    Venue：National Taiwan University, Taipei, Taiwan  

    researchmap

  • Quasi-periodic solution in a dynamical system for the motion of a single particle International conference

    Kota Ikeda, Hiroyuki Kitahata, Yuki Koyano, Tomoyuki Miyaji, Natsuhiko Yoshinaga

    International Conference on the Dynamics of Differential Equations  2018.3 

    　More details

    Language：English   Presentation type：Poster presentation  

    Venue：広島大学, 東広島市, 広島県  

    researchmap

  • Reduction approach to a reaction-diffusion system for collective motions of camphor boats

    Kota Ikeda, Shin-Ichiro Ei, Masaharu Nagayama, Akiyasu Tomoeda

    HMAセミナー  2018.1 

    　More details

    Language：English   Presentation type：Public lecture, seminar, tutorial, course, or other speech  

    Venue：広島大学、東広島市、広島県  

    researchmap

  • 軸対称性を満たす単一粒子の運動における準周期解の解析

    池田幸太, 宮路 智行, 北畑 裕之, 小谷野 由紀, 義永 那津人

    第27回 非線形反応と協同現象研究会  2017.12 

    　More details

    Language：Japanese   Presentation type：Poster presentation  

    Venue：福岡工業大学 FITホール、福岡市、福岡県  

    researchmap

  • Reduction approach to a reaction-diffusion system for collective motions of camphor boats International conference

    Kota Ikeda, Shin-Ichiro Ei, Masaharu Nagayama, Akiyasu Tomoeda

    MINIWORKSHOP ON NONLINEAR ANALYSIS  2017.11 

    　More details

    Language：English   Presentation type：Oral presentation (invited, special)  

    Venue：Universite de Paris-Sud, Bat. 425 (Salle du 3eme etage)  

    researchmap

  • 軸対称性を満たす単一粒子の運動における準周期解の解析

    池田 幸太, 宮路 智行, 北畑 裕之, 小谷野 由紀, 義永 那津人

    第11回 自己組織化討論会プログラム  2017.6 

    　More details

    Language：Japanese   Presentation type：Oral presentation (general)  

    Venue：ＫＫＲ逗子松汀園、神奈川  

    researchmap

  • Reduction approach to a reaction-diffusion system for collective motions of camphor boats

    Kota Ikeda, Shin-Ichiro Ei, Masaharu Nagayama, Akiyasu Tomoeda

    京都大学NLPDEセミナー  2017.4 

    　More details

    Language：English   Presentation type：Public lecture, seminar, tutorial, course, or other speech  

    Venue：京都大学、京都市、京都  

    researchmap

  • 反応拡散モデルに対する縮約アプローチ

    池田 幸太, 栄 伸一郎, 友枝 明保, 長山 雅晴

    RIMS研究集会「集団ダイナミクスに現れる時空間パターンの数理」  2016.10 

    　More details

    Language：Japanese   Presentation type：Oral presentation (general)  

    Venue：京都大学, 京都市, 京都  

    researchmap

  • Reduction approach to a reaction-diffusion system for collective motions of camphor boats International conference

    Kota Ikeda, Shin-Ichiro Ei, Masaharu Nagayama, Akiyasu Tomoeda

    Mathematics of Pattern Formation  2016.9 

    　More details

    Language：English   Presentation type：Oral presentation (general)  

    Venue：Mathematical Research and Conference Center, B_dlewo, Poland  

    researchmap

  • Regime shift in a phytoplankton_phosphorus model with vertical structure and seasonality International conference

    Kota Ikeda, Takeshi Miki

    Czech-Japanese-Polish Seminar in Applied Mathematics 2016  2016.9 

    　More details

    Language：English   Presentation type：Poster presentation  

    Venue：AGH University of Science and Technology, Krak_w, Poland  

    researchmap

  • Reduction approach to a reaction-diffusion system for collective motions of camphor boats International conference

    Kota Ikeda, Shin-Ichiro Ei, Masaharu Nagayama, Akiyasu Tomoeda

    Patterns and Waves 2016  2016.8 

    　More details

    Language：English   Presentation type：Poster presentation  

    Venue：Hokkaido Univ., Sapporo, Hokkaido  

    researchmap

  • 樟脳船の反応拡散モデルに対する縮約アプローチ

    池田 幸太, 栄 伸一郎, 友枝 明保, 長山 雅晴

    ＨＭＭＣセミナー  2016.7 

    　More details

    Language：Japanese   Presentation type：Public lecture, seminar, tutorial, course, or other speech  

    Venue：北海道大学, 札幌市, 北海道  

    researchmap

  • Reduction Approach to a Reaction-diffusion System for Collective Motions of Camphor Boats International conference

    Kota Ikeda, Shin-Ichiro Ei, Masaharu Nagayama, Akiyasu Tomoeda

    11th AIMS International Conference on Dynamical Systems, Differential Equations and Applications  2016.7 

    　More details

    Language：English   Presentation type：Oral presentation (general)  

    Venue：Hyatt Regency Orlando, Orlando, FL, USA  

    researchmap

  • 樟脳船の集団運動に現れる渋滞現象の数理解析

    池田 幸太, 栄 伸一郎, 友枝 明保, 長山 雅晴

    研究会「第二回 非線形現象の捉え方」  2016.5 

    　More details

    Language：Japanese   Presentation type：Poster presentation  

    Venue：石垣市商工会館、沖縄県石垣市  

    researchmap

  • 興奮系反応拡散方程式におけるパルスの渋滞現象

    池田 幸太, 栄 伸一郎, 友枝 明保, 長山 雅晴

    日本数学会2016年度年会  2016.3 

    　More details

    Language：Japanese   Presentation type：Oral presentation (invited, special)  

    Venue：筑波大学  

    researchmap

  • Theoretical approach to congestion of camphor boats International conference

    Kota Ikeda, Shin-Ichiro Ei, Masaharu Nagayama, Akiyasu Tomoeda

    Pacifichem 2015, Self-organization in Chemistry  2015.12 

    　More details

    Language：English   Presentation type：Oral presentation (general)  

    Venue：Hawaii Convention Center 304A, Honolulu, Hawaii  

    researchmap

  • 鉛直構造と季節変動を伴う湖沼生態系モデルにおけるレジームシフト

    池田 幸太, 三木 健

    日本応用数理学会  2015.9 

    　More details

    Language：Japanese   Presentation type：Poster presentation  

    Venue：金沢大学, 金沢市, 石川県  

    researchmap

  • 円環水路上の樟脳船の集団運動に現れる渋滞現象

    池田 幸太, 栄 伸一郎, 友枝 明保, 長山 雅晴

    第1回非平衡現象研究会  2015.3 

    　More details

    Language：Japanese   Presentation type：Oral presentation (general)  

    Venue：FITセミナーハウス, 由布市, 大分県  

    researchmap

  • Collective Motion of Camphor Boats -- Reduction from Reaction-Diffusion Systems International conference

    Kota Ikeda, Shin-Ichiro Ei, Masaharu Nagayama, Akiyasu Tomoeda

    ICMMA 2014 Crowd Dynamics  2015.1 

    　More details

    Language：English   Presentation type：Oral presentation (invited, special)  

    Venue：Meiji University, Tokyo  

    researchmap

  • 興奮系反応拡散方程式におけるパルス波の渋滞現象

    池田 幸太, 長山 雅晴

    2014年度応用数学合同研究集会  2014.12 

    　More details

    Language：Japanese   Presentation type：Oral presentation (general)  

    Venue：龍谷大学  

    researchmap

  • 縮約理論による反応拡散モデルの理論解析

    池田 幸太

    次世代人工透析手法の開発とそれに伴う数理モデルの構築  2014.10 

    　More details

    Language：Japanese   Presentation type：Oral presentation (general)  

    Venue：九州大学  

    researchmap

  • Reduced model from a reaction-diffusion system of collective motion of camphor boats International conference

    Kota Ikeda, Shin-Ichiro Ei, Masaharu Nagayama, Akiyasu Tomoeda

    2nd Slovak - Japan Conference on Applied Mathematics  2014.9 

    　More details

    Language：English   Presentation type：Oral presentation (general)  

    Venue：Radzovce - Obrucna, Cerova vrchovina, Slovakia,  

    researchmap

  • 粘弾性体モデルによるIPMCアクチュエータ屈曲運動の解析

    池田 幸太, 玉川 浩久

    日本応用数理学会 2014年度年会  2014.9 

    　More details

    Language：Japanese   Presentation type：Poster presentation  

    Venue：政策研究大学院大学, 東京  

    researchmap

  • Collective Motions of Particles with Diffusive Interactions International conference

    Kota Ikeda, Shin-Ichiro Ei, Masaharu Nagayama, Akiyasu Tomoeda

    The 10th AIMS Conference on Dynamical Systems Differential Equations and Applications  2014.7 

    　More details

    Language：English   Presentation type：Oral presentation (general)  

    Venue：Madrid, Spain  

    researchmap

  • Reduced Model from a Reaction-Diffusion System of Collective Motion of Camphor Boats International conference

    Kota Ikeda, Shin-Ichiro Ei, Masaharu Nagayama, Akiyasu Tomoeda

    Conference on Partial Differential Equations  2014.5 

    　More details

    Language：English   Presentation type：Oral presentation (invited, special)  

    Venue：Novacella, Italy  

    researchmap

  • 円環水路上の樟脳船の集団運動に現れる渋滞現象

    池田 幸太, 栄 伸一郎, 友枝 明保, 長山 雅晴

    日本数学会 2014年会  2014.3 

    　More details

    Language：Japanese   Presentation type：Oral presentation (general)  

    Venue：学習院大学, 東京都  

    researchmap

  • 円環水路上の樟脳船の集団運動に現れる渋滞現象

    池田 幸太, 栄 伸一郎, 友枝 明保, 長山 雅晴

    談話会  2014.1 

    　More details

    Language：Japanese   Presentation type：Public lecture, seminar, tutorial, course, or other speech  

    Venue：愛媛大学, 愛媛  

    researchmap

  • 円環水路上の樟脳船の集団運動に現れる渋滞現象

    池田 幸太, 栄 伸一郎, 友枝 明保, 長山 雅晴

    第23回「非線形反応と協同現象」研究会  2013.12 

    　More details

    Language：Japanese   Presentation type：Poster presentation  

    Venue：北海道大学, 北海道  

    researchmap

  • Collective motions of particles with diffusive interactions International conference

    Kota Ikeda, Shin-Ichiro Ei, Masaharu Nagayama, Akiyasu Tomoeda

    2013 NIMS-KMRS PDE Conference on reaction diffusion equations for ecology and related problems  2013.10 

    　More details

    Language：English   Presentation type：Oral presentation (general)  

    Venue：KAIST, Daejeon, 韓国  

    researchmap

  • Collective motions of particles with diffusive interactions International conference

    Kota Ikeda, Shin-Ichiro Ei, Masaharu Nagayama, Akiyasu Tomoeda

    Czech-Japanese Seminar in Applied Mathematics 2013  2013.9 

    　More details

    Language：English   Presentation type：Poster presentation  

    Venue：明治大学, 東京  

    researchmap

  • Interactions of traveling spots in a reaction-diffusion system International conference

    Kota Ikeda, Shin-Ichiro Ei, Masaharu Nagayama, Akiyasu Tomoeda

    Equadiff13  2013.8 

    　More details

    Language：English   Presentation type：Oral presentation (general)  

    Venue：Faculty of Arts, Charles University, Prague, Czech  

    researchmap

  • Interactions of traveling spots in a reaction-diffusion system International conference

    Kota Ikeda, Shin-Ichiro Ei, Masaharu Nagayama, Akiyasu Tomoeda

    The Asian Mathematical Conference 2013  2013.7 

    　More details

    Language：English   Presentation type：Poster presentation  

    Venue：BEXCO, 釜山, 韓国  

    researchmap

  • 南極湖沼における植物群落の空間分布パターン形成に関する数理モデル

    池田 幸太

    第 60 回 日本生態学会静岡大会  2013.3 

    　More details

    Language：Japanese   Presentation type：Oral presentation (general)  

    Venue：静岡県コンベンションアーツセンター（グランシップ静岡）  

    researchmap

  • Dynamics and Hopf Bifurcation in the Gierer-Meinhardt System International conference

    Kota Ikeda

    Turing Symposium on Morphogenesis  2012.8 

    　More details

    Language：English   Presentation type：Poster presentation  

    researchmap

  • Stability analysis for a planar traveling wave solution in an excitable systems International conference

    Kota Ikeda

    The 9th AIMS Conference on Dynamical Systems, Differential Equations and Applications  2012.7 

    　More details

    Language：English   Presentation type：Oral presentation (general)  

    Venue：Orlando, Florida, USA  

    researchmap

  • 興奮性を示す反応拡散方程式系におけるプラナー進行波解の安定性

    池田 幸太, 三村 昌泰

    日本数学会2012年春季大会 応用数学分科会  2012.3 

    　More details

    Language：Japanese   Presentation type：Oral presentation (general)  

    Venue：東京理科大学  

    researchmap

  • Dynamics and Hopf Bifurcation in the Gierer-Meinhardt System

    Kota Ikeda

    KSU非線形解析セミナー,  2012.2 

    　More details

    Language：English   Presentation type：Public lecture, seminar, tutorial, course, or other speech  

    Venue：京都産業大学  

    researchmap

  • Dynamics and Hopf Bifurcation in the Gierer-Meinhardt System International conference

    Kota Ikeda

    Modeling and Analysis in the Life Sciences : A ReaDiLab Conference in Tokyo  2011.11 

    　More details

    Language：English   Presentation type：Oral presentation (general)  

    researchmap

  • Dynamics and Hopf Bifurcation in the Gierer-Meinhardt System International conference

    Kota Ikeda

    SIAM Conference on Analysis of Partial Differential Equations  2011.11 

    　More details

    Language：English   Presentation type：Oral presentation (general)  

    Venue：San Diego Marriott Mission Valley, San Diego, California USA  

    researchmap

  • 反応拡散方程式に現れる縮約方程式

    池田 幸太

    第１４回東工大数理解析セミナー  2011.10 

    　More details

    Language：Japanese   Presentation type：Oral presentation (general)  

    Venue：東京工業大学本館２階H201B, 東京  

    researchmap

  • Stability analysis for a planar traveling wave solution in an excitable system International conference

    Kota Ikeda

    2011.7 

    　More details

    Language：English   Presentation type：Oral presentation (general)  

    Venue：京都大学, 京都市  

    researchmap

  • Mechanistic Formulation of two-patch compartment model for the spatial continuous systems International conference

    Kota Ikeda, Takeshi Miki, Masayasu Mimura, Joe Yuichiro Wakano

    2010.11 

    　More details

    Language：English   Presentation type：Oral presentation (general)  

    Venue：国立台湾大学海洋学研究所, 台北, 台湾  

    researchmap

  • 縮約方程式が現れる反応拡散系に関する解析

    池田 幸太

    京都駅前セミナー  2010.11 

    　More details

    Language：Japanese   Presentation type：Public lecture, seminar, tutorial, course, or other speech  

    Venue：キャンパスプラザ京都, 京都市, 京都  

    researchmap

  • Formula for the dispersal rates in a compartment model International conference

    Kota Ikeda, Takeshi Miki, Masayasu Mimura, Joe Yuichiro Wakano

    Reaction-Diffusion Systems: Experiments, Modeling, and Analysis  2010.10 

    　More details

    Language：English   Presentation type：Oral presentation (general)  

    researchmap

  • Instability of multi-spots in general shadow systems for reaction-diffusion equations International conference

    Kota Ikeda, Shin-Ichiro Ei, Eiji Yanagida

    International Workshop on Pattern Formation in Chemical and Biological Systems  2010.10 

    　More details

    Language：English   Presentation type：Oral presentation (general)  

    Venue：E_tv_s Lor_nd University  

    researchmap

  • Formula for the dispersal rates in a compartment model International conference

    Kota Ikeda, Takeshi Miki, Masayasu Mimura, Joe Yuichiro Wakano

    第20回日本数理生物学会大会  2010.9 

    　More details

    Language：English   Presentation type：Oral presentation (general)  

    Venue：北海道大学, 北海道  

    researchmap

  • Reflection of a traveling wave in smoldering combustion International conference

    Kota Ikeda, Shin-Ichiro Ei, Eiji Yanagida

    The 8th AIMS Conference on Dynamical Systems, Differential Equations and Applications  2010.5 

    　More details

    Language：English   Presentation type：Oral presentation (general)  

    Venue：Dresden University of Technology, Dresden, Germany  

    researchmap

  • Instability of multi-spots in general shadow systems for reaction-diffusion equations International conference

    Kota Ikeda

    2010.2 

    　More details

    Language：English   Presentation type：Poster presentation  

    Venue：National Taiwan University, Taipei  

    researchmap

  • Reflection of a traveling wave in smoldering combustion International conference

    Kota Ikeda, Shin-Ichiro Ei, Eiji Yanagida

    微分方程式の総合的研究  2009.12 

    　More details

    Language：English   Presentation type：Oral presentation (invited, special)  

    Venue：東京大学  

    researchmap

  • Instability of multi-spots in general shadow systems for reaction-diffusion equations

    Kota Ikeda, Shin-Ichiro Ei, Eiji Yanagida

    2009.11 

    　More details

    Language：English   Presentation type：Public lecture, seminar, tutorial, course, or other speech  

    Venue：National Taiwan University, Taipei  

    researchmap

  • Reflection of a traveling wave in smoldering combustion International conference

    Kota Ikeda, Masayasu Mimura

    Nonlinear evolution equations and mathematical modeling  2009.10 

    　More details

    Language：English   Presentation type：Oral presentation (general)  

    Venue：Research Institute for Mathematical Sciences, Kyoto University, Kyoto  

    researchmap

  • シャドウ系における多重スポットの不安定性と固有関数の形状

    池田 幸太, 栄 伸一郎, 柳田 英二

    日本数学会秋季総合分科会  2009.9 

    　More details

    Language：Japanese   Presentation type：Oral presentation (general)  

    Venue：函数方程式論分科会, 大阪大学  

    researchmap

  • ギーラー・マインハルト方程式に対するシャドウ系における多重スポットの不安定性

    池田 幸太, 栄 伸一郎, 柳田 英二

    さいたま数理解析セミナー  2009.5 

    　More details

    Language：Japanese   Presentation type：Oral presentation (general)  

    Venue：埼玉大学サテライトキャンパス,  

    researchmap

  • ある燃焼モデルに現れる進行波解について

    池田 幸太, 三村 昌泰

    HMAセミナー  2009.4 

    　More details

    Language：Japanese   Presentation type：Oral presentation (general)  

    Venue：広島大学  

    researchmap

  • ギーラー・マインハルト方程式に対するシャドウ系における多重スポットの不安定性

    池田 幸太, 栄 伸一郎, 柳田 英二

    応用解析セミナー  2009.4 

    　More details

    Language：Japanese   Presentation type：Public lecture, seminar, tutorial, course, or other speech  

    Venue：東京大学  

    researchmap

  • Planar Traveling Wave in a Combustion Model

    Kota Ikeda

    MAS seminar  2009.3 

    　More details

    Language：English   Presentation type：Public lecture, seminar, tutorial, course, or other speech  

    Venue：Meiji University, Tokyo  

    researchmap

  • Instability of multipeak solutions in the shadow system of the Gierer-Meinhardt model International conference

    Kota Ikeda, Shin-Ichiro Ei, Eiji Yanagida

    The 10th Northeastern Symposium on Mathematical Analysis  2009.2 

    　More details

    Language：English   Presentation type：Poster presentation  

    Venue：東北大学, 仙台市  

    researchmap

  • Existence and stability of a Planar Traveling Wave in a Combustion Model

    Kota Ikeda, Masayasu Mimura

    NCTS seminar  2009.2 

    　More details

    Language：English   Presentation type：Public lecture, seminar, tutorial, course, or other speech  

    Venue：Tsing-Hua University, 台湾  

    researchmap

  • Instability of multi-spots in the shadow system for the Gierer-Meinhardt model International conference

    Kota Ikeda, Shin-Ichiro Ei, Eiji Yanagida

    The 26th Kyushu Symposium on Partial Differential Equations  2009.1 

    　More details

    Language：English   Presentation type：Oral presentation (general)  

    Venue：Kyushu University  

    researchmap

  • Instability of multi-spots in the shadow system for the Gierer-Meinhardt model

    Kota Ikeda, Shin-Ichiro Ei, Eiji Yanagida

    Tuesday Seminars  2008.10 

    　More details

    Language：English   Presentation type：Public lecture, seminar, tutorial, course, or other speech  

    Venue：MBI, The Ohio State University  

    researchmap

  • Existence and Stability of a Planar Traveling Wave in a Combustion Model International conference

    Kota Ikeda, Masayasu Mimura

    2008 SIAM Conference on Nonlinear Waves and Coherent Structures  2008.7 

    　More details

    Language：English   Presentation type：Oral presentation (general)  

    Venue：Universita di Roma, La Sapienza  

    researchmap

  • Existence and stability of a traveling wave of a combustion model in a cylindrical domain International conference

    Kota Ikeda, Masayasu Mimura

    Recent Progress on Pattern Formation and Dynamics in Mathematical Sciences  2008.6 

    　More details

    Language：English   Presentation type：Oral presentation (general)  

    Venue：龍谷大学  

    researchmap

  • Existence and stability of a traveling wave in a combustion model International conference

    Kota Ikeda, Masayasu Mimura

    Minnesota student seminar 2008  2008.3 

    　More details

    Language：English   Presentation type：Oral presentation (general)  

    Venue：University of Minnesota  

    researchmap

  • Existence and stability of a traveling wave in a combustion model International conference

    Kota Ikeda, Masayasu Mimura

    The 9th Northeastern Symposium on Mathematical Analysis  2008.2 

    　More details

    Language：English   Presentation type：Poster presentation  

    Venue：北海道大学, 札幌市  

    researchmap

  • Mathematical treatment of smoldering combustion under micro-gravity International conference

    Kota Ikeda, Masayasu Mimura

    Nonlinear Phenomena with Energy Dissipation : --- Mathematical Analysis, Modelling and Simulation ---  2007.11 

    　More details

    Language：English   Presentation type：Poster presentation  

    Venue：千葉大学  

    researchmap

  • On a reaction-diffusion model for smolder patterns under micro-gravity International conference

    Kota Ikeda, Masayasu Mimura

    International Conference on Nonlinear Analysis  2007.11 

    　More details

    Language：English   Presentation type：Oral presentation (general)  

    Venue：精華大学  

    researchmap

  • Mathematical treatment of a model for smoldering combustion International conference

    Kota Ikeda, Masayasu Mimura

    the Taiwan Conference- International Conference on Nonlinear Analysis  2007.10 

    　More details

    Language：English   Presentation type：Oral presentation (general)  

    researchmap

  • Mathematical treatment of smoldering combustion under micro-gravity International conference

    Kota Ikeda, Masayasu Mimura

    First Chile-Japan Workshop on Nonlinear Elliptic and Parabolic PDE  2007.10 

    　More details

    Language：English   Presentation type：Oral presentation (general)  

    Venue：University of Chile  

    researchmap

  • Mathematical treatment of smoldering combustion under micro-gravity International conference

    Kota Ikeda, Masayasu Mimura

    the Czech- Japanese Seminar in Applied Mathematics  2007.9 

    　More details

    Language：English   Presentation type：Oral presentation (general)  

    researchmap

  • Stripe Solutions of the Gierer-Meinhardt system on a rectangular domain International conference

    Kota Ikeda

    Czech- Japanese Seminar in Applied Mathematics  2007.9 

    　More details

    Language：English   Presentation type：Oral presentation (general)  

    researchmap

  • Mathematical treatment of smoldering combustion under micro-gravity International conference

    Kota Ikeda, Masayasu Mimura

    EQUADIFF07  2007.8 

    　More details

    Language：English   Presentation type：Oral presentation (general)  

    Venue：Vienna University of Technology, Vienna, Austria  

    researchmap

  • On a reaction-diffusion model for smolder patterns under micro-gravity International conference

    Kota Ikeda, Masayasu Mimura

    Workshop on Nonlinear Parabolic PDEs  2007.2 

    　More details

    Language：English   Presentation type：Oral presentation (general)  

    Venue：Tohoku University, Sendai  

    researchmap

  • On a reaction-diffusion model for smolder patterns under micro-gravity International conference

    Kota Ikeda, Masayasu Mimura

    International Conference on Nonlinear Analysis  2006.11 

    　More details

    Language：English   Presentation type：Oral presentation (general)  

    Venue：精華大学, 新竹, 台湾  

    researchmap

  • Instability of stripe patterns in the Gierer-Meinhardt system International conference

    Kota Ikeda

    Slovak-Japan workshop on Computational Mathematics  2006.9 

    　More details

    Language：English   Presentation type：Oral presentation (general)  

    Venue：Kocovce chateau, Slovakia  

    researchmap

  • On a reaction-diffusion model for smolder patterns under micro-gravity International conference

    Kota Ikeda, Masayasu Mimura

    The Czech-Japanese Seminar in Applied Mathematics 2006  2006.9 

    　More details

    Language：English   Presentation type：Oral presentation (general)  

    Venue：Czech Technical University, Prague, Czech  

    researchmap

  • Instability of stripe patterns in the Gierer-Meinhardt system International conference

    Kota Ikeda

    Asymptotic Analysis and Singularity  2005.7 

    　More details

    Language：English   Presentation type：Oral presentation (general)  

    Venue：仙台国際センター, 仙台市  

    researchmap

▼display all

Awards

  • 日本数学会応用数学研究奨励賞

    2015.3   日本数学会   興奮系反応拡散方程式におけるパルス波の渋滞現象

    池田 幸太

    　More details

Research Projects

  • 神経・精神疾患の早期治療に向けた概日時計ネットワークモデルの構築と実験的検証

    Grant number：25K03221  2025.4 - 2028.3

    日本学術振興会  科学研究費助成事業  基盤研究(B)

    池田 幸太, 中村 孝博, 小野 大輔, 末松 信彦

    　 More details

    Authorship：Principal investigator 

    Grant amount：\18850000 （ Direct Cost: \14500000 、 Indirect Cost：\4350000 ）

    researchmap

  • ニューロンの発火現象に伴って発生するパルス解の時空間パターンの数理解析

    Grant number：20K03757  2020.4 - 2025.3

    日本学術振興会  科学研究費助成事業  基盤研究(C)

    池田 幸太

    　 More details

    Grant amount：\3380000 （ Direct Cost: \2600000 、 Indirect Cost：\780000 ）

    研究課題1では、パルス解の集団運動に関する中心多様体収縮理論の確立とその応用が目標である。解析においては、縮約方程式が有益である一方で、多粒子系固有の難しさがある。このような場合、粒子数を無限大に取り平均場近似を適用することで問題を解決できる。このアプローチを確立するために、2023年度には、交通渋滞を再現する多粒子系モデルとしてよく知られるOVモデルを例に挙げ、渋滞相の数理的特徴を解明した。先行研究で既に平均場方程式が導かれているため、1次元領域において周期境界条件を考慮し、この方程式における周期進行波解の存在を証明した。OVモデルに含まれるシグモイド関数がOV関数としてよく用いられるが、その非線形性から、双安定系の反応拡散方程式と同等の数理構造を持つことが明らかになった。これにより、ヘテロクリニックサイクルの存在を証明し、目標とする周期進行波解の構築に成功した。現在、この研究結果を研究論文としてまとめている。
    研究課題2に関しては、パルスの位置を表す関数が満たす時間遅れ項付き微分方程式における時間周期解の存在を保証することが最初の目標である。これまでの解析から、特異摂動解として特徴づけられるノコギリ型の時間周期解が現れることがわかっていた。しかし、この解が満たすべき方程式には時間遅れ項が含まれるため、解析が難しい。そのため、時間遅れ項を自励系の非線形項として再解釈する新たな方法を採用することにした。これにより、方程式を通常の力学系として捉えることが可能になり、解析が容易になるだろう。現在、この新たなアプローチを用いて時間周期解を構築するための解析を行っている。

    researchmap

  • Bacterial Chemotaxis Reproduced by Collection of Self-Propelled Objects

    Grant number：19K03676  2019.4 - 2022.3

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C)  Grant-in-Aid for Scientific Research (C)

    　 More details

    Grant amount：\4290000 （ Direct Cost: \3300000 、 Indirect Cost：\990000 ）

    researchmap

  • Oscillatory Motion of Collective Self-Propelled Particles

    Grant number：16K05486  2016.4 - 2019.3

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C)  Grant-in-Aid for Scientific Research (C)

    Suematsu Nobuhiko, Nakata Satoshi, Matsuda Yui

    　 More details

    Grant amount：\4680000 （ Direct Cost: \3600000 、 Indirect Cost：\1080000 ）

    Self-propelled particles is the object what spontaneously moves using chemical energy. A camphor disk is one of the self-propelled particle that slides on water. We previously observed mode bifurcation of camphor motion with change in the number of disks. However, its mechanism is under investigation. In this project, we approached this problem from both experimentally and mathematically. For simplify the system, the number of disk was fixed, and the area of water surface was sequentially varied. As the results, similar mode bifurcation was observed, i.e., continuous motion in large area, oscillatory motion in middle area, and stationary state in small area. This mode bifurcation for a single disk was successfully reproduced using mathematical model that was obtained with modified the typical model for camphor motion. Our mathematical approach indicated that oscillatory motion is appeared by instability of continuous motion.

    researchmap

  • Relation between pattern formations and complex singularities of solutions of nonlinear partial differential equations

    Grant number：16K13778  2016.4 - 2019.3

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research Grant-in-Aid for Challenging Exploratory Research  Grant-in-Aid for Challenging Exploratory Research

    Ninomiya Hirokazu

    　 More details

    Grant amount：\3640000 （ Direct Cost: \2800000 、 Indirect Cost：\840000 ）

    We showed the analytic extension of the solution of a reaction-diffusion equation into complex domain. However, in general, the complex singularities appear. To study the motion of the singularities, we consider the heat equation and the Allen-Cahn-Nagumo equation. For the Allen-Cahn-Nagumo equation, we study the motion of the complex singularities of the exact solutions. We tried to extend the properties derived from this observation into the case for general nonlinearity.
    Moreover, we study the bifurcation from infinity and we get the result which generalizes the results of Stuart and Rabinowitz into the multi-component reaction-diffusion systems.

    researchmap

  • Congestion phenomena of pulses in reaction-diffusion systems with excitability

    Grant number：15K17594  2015.4 - 2019.3

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research Grant-in-Aid for Young Scientists (B)  Grant-in-Aid for Young Scientists (B)

    Ikeda Kota

    　 More details

    Grant amount：\2340000 （ Direct Cost: \1800000 、 Indirect Cost：\540000 ）

    We obtained two kinds of results in a mathematical model for the collective motion of camphor boats. First, we demonstrated that the numerical results obtained in our models for camphor boats are quite similar to those in a car-following model, the OV model, but there are some different features between our reduced model and a typical OV model. Those results are summarized in a manuscript published in a scientific journal. Secondly, we developed a center manifold theory to reduce the mathematical model of a PDF form for camphor boats into an ordinary differential system.
    We also studied a reaction-diffusion system with three components to generate congestion phenomena of pulses. Since the reaction-diffusion system is one of excitable systems, it naturally has a solution with a pulse shape. We conclude that a bifurcation of a standing pulse can generate a traveling pulse and congestion of pulses.

    researchmap

  • Linking life phenomena to theoretical study from Antarctic lake ecosystem

    Grant number：26310213  2014.7 - 2017.3

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (B)  Grant-in-Aid for Scientific Research (B)

    Tanabe Yukiko

    　 More details

    Grant amount：\14820000 （ Direct Cost: \11400000 、 Indirect Cost：\3420000 ）

    The following mathematical models 1)-3) were represented based on data analyzed environmental parameters and benthic community samples in Antarctic lakes.
    1) "Modeling photo-chemical reaction": Photosynthetic reaction center of photo-trophs was represented as three-state model, and optimum strategy of light utility was evaluated responding to light wavelength, then the respondence mechanism of photo-trophs was explained theoretically. 2) "Modeling developing process of vertical community structure": Productivity of photo-trophs was evaluated under vertical-space structure, and the formation process of vertical community structure was modeled. 3) "Modeling formation process of vertical pigment pattern": The formation process of vertical pigment pattern which the actual photo-trophs possesses was modeled by responding to incident light spectra to the actual lakebeds.

    researchmap

  • Mathematical analysis on spatio-temporal pattern to generate branching structures

    Grant number：24740071  2012.4 - 2016.3

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research Grant-in-Aid for Young Scientists (B)  Grant-in-Aid for Young Scientists (B)

    Ikeda Kota

    　 More details

    Grant amount：\2600000 （ Direct Cost: \2000000 、 Indirect Cost：\600000 ）

    We studied a traveling wave solution with pulse shape in general reaction-diffusion systems with excitability. We first derived a linear eigenvalue problem with respect to the traveling wave solution and proved that the solution becomes unstable dependently on a diffusion coefficient. Next we proposed a simplified model for combustion to study a spatio-temporal pattern, called "fingering pattern". This model generates an interface. Also, we can measure parameter values in our model experimentally.

    researchmap

  • Mathematical approach for spatial pattern in combustion

    Grant number：21840047  2009 - 2010

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research Grant-in-Aid for Research Activity Start-up  Grant-in-Aid for Research Activity Start-up

    IKEDA Kota

    　 More details

    Grant amount：\2080000 （ Direct Cost: \1600000 、 Indirect Cost：\480000 ）

    1. We construct a traveling wave solution in a reaction-diffusion model with three components for combustion. We prove the stability of the solution in higher dimension. We reduce our system to a reaction-diffusion system with two components. 2. We derive a differential equation which defines a function to characterize a spiky pattern in a degenerate reaction-diffusion equation. Our paper will be published in a journal.

    researchmap

  • Pattern formation in reaction-diffusion systems

    　 More details

    Grant type：Competitive

    researchmap

▼display all

Teaching Experience

  • 偏微分方程式と数値解析

    2017 Institution：明治大学

    　More details

  • 偏微分方程式とシミュレーション

    2016 Institution：明治大学

    　More details

  • 微分方程式

    Institution：明治大学

    　More details

  • 電磁気とベクトル解析

    Institution：明治大学

    　More details

  • 偏微分方程式特論

    Institution：明治大学

    　More details

  • 微積分演習

    Institution：明治大学

    　More details

▼display all