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On a numerical bifurcation analysis of a particle reaction-diffusion model for a motion of two self-propelled disks
| 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 |
| Volume: | 39 |
| Start Page: | 631 |
| End Page: | 652 |
| 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)
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