General Criteria for Determining Rotation or Oscillation in a Two-dimensional Axisymmetric System
Pattern Formation and Solitons
2015-07-09 v5
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.
Keywords
Cite
@article{arxiv.1411.2409,
title = {General Criteria for Determining Rotation or Oscillation in a Two-dimensional Axisymmetric System},
author = {Yuki Koyano and Natsuhiko Yoshinaga and Hiroyuki Kitahata},
journal= {arXiv preprint arXiv:1411.2409},
year = {2015}
}
Comments
9 pages, 7 figures