HUSCAP logo Hokkaido Univ. logo

Hokkaido University Collection of Scholarly and Academic Papers >
Research Institute for Electronic Science >
Peer-reviewed Journal Articles, etc >

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

Files in This Item:

The file(s) associated with this item can be obtained from the following URL: https://doi.org/10.1007/s13160-021-00498-4


Title: On a numerical bifurcation analysis of a particle reaction-diffusion model for a motion of two self-propelled disks
Authors: Yasugahira, Yusuke Browse this author
Nagayama, Masaharu Browse this author →KAKEN DB
Keywords: Particle reaction-diffusion model
Numerical bifurcation analysis
Self-propelled motion
Chaotic motion
Issue Date: 17-Jan-2022
Publisher: Springer
Journal Title: Japan journal of industrial and applied mathematics
Publisher DOI: 10.1007/s13160-021-00498-4
Abstract: 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.
Type: article
URI: http://hdl.handle.net/2115/84185
Appears in Collections:電子科学研究所 (Research Institute for Electronic Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)

Export metadata:

OAI-PMH ( junii2 , jpcoar_1.0 )

MathJax is now OFF:


 

 - Hokkaido University