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arXiv · 1411.2409

General Criteria for Determining Rotation or Oscillation in a Two-dimensional Axisymmetric System

Yuki Koyano·Natsuhiko Yoshinaga·Hiroyuki Kitahata
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Abstract

A self-propelled particle in a two-dimensional axisymmetric system, such as a particle in a central force field or confined in a circular region, may show rotational or oscillatory motion. These motions do not require asymmetry of the particle or the boundary, but arise through spontaneous symmetry breaking. We propose a generic model for a self-propelled particle in a two-dimensional axisymmetric system. A weakly nonlinear analysis establishes criteria for determining rotational or oscillatory motion.

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Yuki Koyano, Natsuhiko Yoshinaga, Hiroyuki Kitahata. 2014-11-10. General Criteria for Determining Rotation or Oscillation in a Two-dimensional Axisymmetric System. https://doi.org/10.1063/1.4923421

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