### Abstract

A general phenomenon in coupled chaotic oscillator systems was discussed in the article. It was shown that the phenomenon is due to the disturbance to the relative frequencies with which a trajectory visits different scrolls of the attractor. An algebraic scaling law which relates the Lyapunov exponents with the coupling strength, was also obtained.

Original language | English (US) |
---|---|

Article number | 045203 |

Pages (from-to) | 452031-452034 |

Number of pages | 4 |

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

Volume | 67 |

Issue number | 4 2 |

State | Published - Apr 2003 |

### Fingerprint

### ASJC Scopus subject areas

- Physics and Astronomy(all)
- Condensed Matter Physics
- Statistical and Nonlinear Physics
- Mathematical Physics

### Cite this

*Physical Review E - Statistical, Nonlinear, and Soft Matter Physics*,

*67*(4 2), 452031-452034. [045203].

**Universal scaling of Lyapunov exponents in coupled chaotic oscillators.** / Liu, Zonghua; Lai, Ying-Cheng; Matías, Manuel A.

Research output: Contribution to journal › Article

*Physical Review E - Statistical, Nonlinear, and Soft Matter Physics*, vol. 67, no. 4 2, 045203, pp. 452031-452034.

}

TY - JOUR

T1 - Universal scaling of Lyapunov exponents in coupled chaotic oscillators

AU - Liu, Zonghua

AU - Lai, Ying-Cheng

AU - Matías, Manuel A.

PY - 2003/4

Y1 - 2003/4

N2 - A general phenomenon in coupled chaotic oscillator systems was discussed in the article. It was shown that the phenomenon is due to the disturbance to the relative frequencies with which a trajectory visits different scrolls of the attractor. An algebraic scaling law which relates the Lyapunov exponents with the coupling strength, was also obtained.

AB - A general phenomenon in coupled chaotic oscillator systems was discussed in the article. It was shown that the phenomenon is due to the disturbance to the relative frequencies with which a trajectory visits different scrolls of the attractor. An algebraic scaling law which relates the Lyapunov exponents with the coupling strength, was also obtained.

UR - http://www.scopus.com/inward/record.url?scp=0037866577&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0037866577&partnerID=8YFLogxK

M3 - Article

VL - 67

SP - 452031

EP - 452034

JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

SN - 1539-3755

IS - 4 2

M1 - 045203

ER -