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J-GLOBAL ID：201001025098156137 Update date: Apr. 02, 2025

Ikeda Kota

イケダコウタ | Ikeda Kota

Affiliation and department：
Job title：准教授

Research field (1)： Mathematical analysis

Research keywords (10)：縮約方程式 , 進行波解 , 放物型偏微分方程式 , パターン形成問題 , 反応拡散方程式 , Reduced system , Traveling wave solution , Parabolic Equations , Pattern Formation , Reaction-Diffusion equations

Research theme for competitive and other funds (9)：

2020 - 2024 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
2019 - 2022 Bacterial Chemotaxis Reproduced by Collection of Self-Propelled Objects
2016 - 2019 Oscillatory Motion of Collective Self-Propelled Particles
2016 - 2019 Relation between pattern formations and complex singularities of solutions of nonlinear partial differential equations
2015 - 2019 Congestion phenomena of pulses in reaction-diffusion systems with excitability

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Papers (40)：

Kota Ikeda, Toru Kan, Toshiyuki Ogawa. Existence of traveling wave solutions in continuous optimal velocity models. Physica D: Nonlinear Phenomena. 2025. 471. 134430-134430
Kota Ikeda, Hiroyuki Kitahata, Yuki Koyano. Existence and stability of a quasi-periodic two-dimensional motion of a self-propelled particle. Japan Journal of Industrial and Applied Mathematics. 2024. 41. 3. 1413-1449
Kota Ikeda. Center manifold theory for the 1-dimensional collective motions of camphor disks with delta functions in the L2-framework. Discrete and Continuous Dynamical Systems. 2023. 43. 7. 2658-2692
Yuko Hamano, Kota Ikeda, Kenta Odagiri, Nobuhiko J. Suematsu. Reproduction of bacterial chemotaxis by a non-living self-propelled object. Scientific reports. 2023. 13. 1. 8173
池田幸太, Roux Pierre, Salort Delphine, Smets Didier. 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. 数理解析研究所講究録. 2022. 2232. 1-9

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MISC (2)：

Ikeda Kota, Kinoshita Shu-ichi, Tomoeda Akiyasu, Notsu Hirofumi, Fujisawa Kazunori. 28aPS-82 Percolation in coffee brewing. Meeting abstracts of the Physical Society of Japan. 2011. 66. 1. 366-366
池田幸太, IKEDA Kota. GIERER-MEINHARDT方程式のストライプパターンの不安定性. 盛岡応用数学小研究集会報告集. 2006. 2005. 43-48

Books (3)：

数学セミナー2021年7月号
日本評論社 2021
数学通信 23(3)
日本数学会 2018
応用数理・21・1
日本応用数理学会 2011

Lectures and oral presentations (107)：

連続 OV モデルにおける進行波解の存在
(日本数学会2023年度秋季総合分科会 2023)
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
(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)
Traveling wave solution in a macroscopic traffic model for the optimal velocity equation
(10th International Congress on Industrial and Applied Mathematics 2023)
渋滞現象に対する連続モデルにおける進行波解
(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)
Center Manifold Theory for the Motions of Camphor Boats in L2-Framework
(13th AIMS International Conference on Dynamical Systems, Differential Equations and Applications 2023)

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Professional career (1)：

博士(理学) (東北大学)

Work history (2)：

2024/04 - 現在 Meiji University School of Interdisciplinary Mathematical Sciences Professor
2014/04 - 2024/03 Meiji University School of Interdisciplinary Mathematical Sciences, Associate Professor

Committee career (3)：

2019/04 - 2022/03 日本応用数理学会誌編集委員
2016/10 - 2018/09 日本数学会応用数学分科会委員
2014/07 - 2016/06 日本数学会「数学」常任編集委員

Awards (1)：

2015/03 - 日本数学会日本数学会応用数学研究奨励賞興奮系反応拡散方程式におけるパルス波の渋滞現象

Association Membership(s) (4)：

日本時間生物学会 , THE JAPANESE SOCIETY FOR MATHEMATICAL BIOLOGY , THE JAPAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS , THE MATHEMATICAL SOCIETY OF JAPAN

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