## Abstract

We study intermittent switching behaviors in a system with three identical oscillators coupled diffusively and repulsively, to clarify a bifurcation scenario which generates such intermittent switching behaviors. We use the Stuart-Landau oscillator, which is a general form of Hopf bifurcation, and can describe both cases: limit cycle and inactive (i.e., non-self-oscillatory) cases. From a numerical study of the bifurcation structure, two different routes to chaos which has S3 symmetry were found. One is the sudden appearance of chaos as Pomeau-Manneville intermittency, which is found for the inactive case. In this case a trajectory shows switching among three mutually symmetric tori when a parameter exceeds critical value. The other route, which appears for the limit cycle case, consists of two parts: First, chaos with lower symmetry appears through period doubling, and after the two successive attractor-merging crises, chaos which has S3 symmetry appears. At each crisis, the attractor changes its symmetry.

Original language | English |
---|---|

Article number | 036224 |

Journal | Physical Review E - Statistical, Nonlinear, and Soft Matter Physics |

Volume | 77 |

Issue number | 3 |

DOIs | |

Publication status | Published - 2008 Mar 28 |

Externally published | Yes |

## ASJC Scopus subject areas

- Statistical and Nonlinear Physics
- Statistics and Probability
- Condensed Matter Physics