Universal scaling of Lyapunov exponents in coupled chaotic oscillators

Zonghua Liu, Ying-Cheng Lai, Manuel A. Matías

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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 languageEnglish (US)
Article number045203
Pages (from-to)452031-452034
Number of pages4
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume67
Issue number4 2
StatePublished - Apr 1 2003

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ASJC Scopus subject areas

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

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