期刊
PHYSICAL REVIEW E
卷 99, 期 2, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevE.99.022211
关键词
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资金
- JSPS KAKENHI [JP17J05270, JP25103008, JP15K05199, JP16H03949, JP16K05486]
- Cooperative Research Program of Network Joint Research Center for Materials and Devices [20181023, 20183003]
- JSPS
- PAN
In a two-dimensional axisymmetric system, the system symmetry allows rotational or oscillatory motion as stable stationary motion for a symmetric self-propelled particle. In the present paper, we studied the motion of a camphor disk confined in a two-dimensional circular region. By reducing the mathematical model describing the dynamics of the motion of a camphor disk and the concentration field of camphor molecules on a water surface, we analyzed the reduced equations around a bifurcation point where the rest state at the center of the system becomes unstable. As a result, we found that rotational motion is stably realized through the double-Hopf bifurcation from the rest state. The theoretical results were confirmed by numerical calculation and corresponded well to the experimental results.
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