title: General criteria for determining rotation or oscillation in a two-dimensional axisymmetric system.
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.
authors.affiliation: Department of Physics, Graduate School of Science, Chiba University, Chiba 263-8522, Japan.
authors.forename: Yuki
authors.initials: Y
authors.lastname: Koyano
authors.affiliation: WPI-Advanced Institute for Materials Research, Tohoku University, Sendai 980-8577, Japan.
authors.forename: Natsuhiko
authors.initials: N
authors.lastname: Yoshinaga
authors.affiliation: Department of Physics, Graduate School of Science, Chiba University, Chiba 263-8522, Japan.
authors.forename: Hiroyuki
authors.initials: H
authors.lastname: Kitahata