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

• Yusuke Yasugahira

• Masaharu Nagayama

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.

収録刊行物

• Japan Journal of Industrial and Applied Mathematics

  Japan Journal of Industrial and Applied Mathematics 39 (2), 631-652, 2022-01-17

  Springer Science and Business Media LLC

キーワード

• Applied Mathematics
• General Engineering

詳細情報

• CRID: 1360009582349899776
• NII論文ID: 210000172650
• DOI: 10.1007/s13160-021-00498-4
• ISSN: 1868937X
• ISSN: 09167005
• Web Site: https://link.springer.com/content/pdf/10.1007/s13160-021-00498-4.pdf
• Web Site: https://link.springer.com/article/10.1007/s13160-021-00498-4/fulltext.html
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