TOMOYUKI MIYAJI

ミヤジトモユキ | TOMOYUKI MIYAJI

Affiliation and department：
Job title： Associate Professor (non-tenured)

Research field (1)： Applied mathematics and statistics

Research theme for competitive and other funds (11)：

2023 - 2028 力学系に対する相空間全構造解析と分岐解析の統合による新たなアプローチ
2021 - 2025 精度保証付き数値計算の前進---有限と無限をつなぐもの---
2020 - 2024 A mathematical study of dimensionality reduction and embedding by theories of delay-coordinate systems and algebraic geometry
2019 - 2022 A billiard problem arising from self-propelling particles
2018 - 2022 New modeling and mathematical analysis for pattern formations in life sciences

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Papers (32)：

Kazuya Okamoto, Tomoyuki Miyaji, Akiyasu Tomoeda. Nonlinear delay difference equation with bistability as a new traffic flow model. Physica Scripta. 2024. 99. 4
Yoshitaka Watanabe, Tomoyuki Miyaji. Another computer-assisted proof of unimodality of solutions for Proudman-Johnson equation. Japan Journal of Industrial and Applied Mathematics. 2024
Tomoyuki Miyaji, Robert Sinclair. Asymptotic reflection of a self-propelled particle from a boundary wall. Japan Journal of Industrial and Applied Mathematics. 2023
Tomoyuki Miyaji, Isamu Ohnishi, Yoshio Tsutsumi. Erratum: Stability of stationary solution for the Lugiato-Lefever equation (Tohoku Mathematics Journal (2011) (63) DOI: 10.2748/tmj/1325886285). Tohoku Mathematical Journal. 2020. 72. 3. 487-492
Shin-Ichiro Ei, Masayasu Mimura, Tomoyuki Miyaji. Reflection of a self-propelling rigid disk from a boundary. Discrete & Continuous Dynamical Systems - S. 2019. 0. 0

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MISC (10)：

Tomoyuki Miyaji. Numerical Bifurcation Analysis for Dynamical Systems. Bulletin of the Japan Society for Industrial and Applied Mathematics. 2022. 32. 1. 16-26
Yuki Chiba, Tomoyuki Miyaji, Toshiyuki Ogawa. Erratum: Computing Morse decomposition of ODEs via Runge-Kutta method. JSIAM Letters. 2022. 13. 88-88
Yuki Chiba, Tomoyuki Miyaji, Toshiyuki Ogawa. Computing Morse decomposition of ODEs via Runge-Kutta method. JSIAM Letters. 2021. 13. 40-43
三村昌泰, 宮路智行. 数理モデルができるまで第8回自己駆動粒子のビリヤード問題(2). 数学セミナー. 2021. 60. 2. 60-65
三村昌泰, 宮路智行. 数理モデルができるまで第7回自己駆動粒子のビリヤード問題(1). 数学セミナー. 2021. 60. 1. 74-78

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Books (1)：

Lectures and oral presentations (50)：

離散回転対称性をもつNeimark-Sacker分岐と進行波
(日本数学会2024年度年会応用数学分科会 2024)
Traveling waves and the Neimark--Sacker bifurcation with discrete rotational symmetry
(2024)
A method of computing Morse decomposition via approximate ODE solvers and its application
(Applied and Computational Dynamics, 10th International Congress on Industrial and Applied Mathematics 2023)
A conjecture on the asymptotic reflection rule of a self-propelled particle
(日本数学会2023年度年会応用数学分科会 2023)
力学系に対する相空間全構造計算の手法と応用
(RIMS共同研究(公開型)常微分方程式の定性的理論とその現象解析への応用 2022)

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Education (1)：

2006 - 2010 Hiroshima University Graduate School of Science Department of Mathematical and Life Sciences

Professional career (1)：

Work history (5)：

2019/04 - 現在 Kyoto University Graduate School of Science Associate Professor
2018/04 - 2019/03 Meiji University Organization for the Strategic Coordination of Research and Intellectual Properties Associate Professor
2014/10 - 2018/03 Meiji University Organization for the Strategic Coordination of Research and Intellectual Properties
2012/04 - 2014/10 Japan Society for the Promotion of Science Research Fellow (PD)
2008/04 - 2010/03 Japan Society for the Promotion of Science Research Fellow (DC2)

Committee career (10)：

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Awards (2)：

2022/09 - 日本応用数理学会日本応用数理学会論文賞JSIAM Letters部門 Computing Morse decomposition of ODEs via Runge-Kutta method
2018/06 - 日本応用数理学会 2018年研究部会連合発表会優秀講演賞

Association Membership(s) (3)：

The Japan Society for Industrial and Applied Mathematics , The Mathematical Society of Japan , Society of Industrial and Applied Mathematics (SIAM)

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