On a numerical bifurcation analysis of a particle reaction-diffusion model for a motion of two self-propelled disks

Yasugahira, Yusuke; Nagayama, Masaharu

Japan journal of industrial and applied mathematics, 2022, 39, 631-652

Permalink : https://hdl.handle.net/2115/84185

このアイテムのアクセス数:392件（2026-01-22 07:41 集計）

ファイル	フォーマット	サイズ	閲覧回数	説明
https://doi.org/10.1007/s13160-021-00498-4

アクセス権	metadata only access
URI	https://hdl.handle.net/2115/84185
タイトル	On a numerical bifurcation analysis of a particle reaction-diffusion model for a motion of two self-propelled disks
著者	著者名 Yasugahira, Yusuke
著者	e-Rad_Researcher 20314289 著者名 Nagayama, Masaharu
言語	英語
キーワード	Particle reaction-diffusion model
	Numerical bifurcation analysis
	Self-propelled motion
	Chaotic motion
発行日	2022-01-17
出版者	Springer
収録物名	Japan journal of industrial and applied mathematics
巻(号)	39
ページ	631-652
抄録	Theoretical analysis using mathematical models is often used to understand a mechanism of collective motion in a self-propelled system. In the experimental system using camphor disks, several kinds of characteristic motions have been observed due to the interaction of two camphor disks. In this paper, we understand the emergence mechanism of the motions caused by the interaction of two self-propelled bodies by analyzing the global bifurcation structure using the numerical bifurcation method for a mathematical model. Finally, it is also shown that the irregular motion, which is one of the characteristic motions, is chaotic motion and that it arises from periodic bifurcation phenomena and quasi-periodic motions due to torus bifurcation.
資源タイプ	学術雑誌論文
出版タイプ	Version of Record
PISSN	0916-7005
関連情報 (isIdenticalTo)	出版社版DOI https://doi.org/10.1007/s13160-021-00498-4