Phase jumps near a phase synchronization transition in systems of two coupled chaotic oscillators

Kyoung J. Lee, Yongho Kwak, Tong Kun Lim

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Phase synchronization transitions in two different coupled chaotic systems (Rössler and Lorentz) are investigated and shown to be well described by a reduced model of an overdamped periodically driven nonlinear oscillator with a time varying coefficient. In both systems, the phase separation increases with 2π phase jumps below the transition. The scaling rules of the jump near and away from the transition are studied: Near the transition the average interval between two successive jumps follows ln(l)∼−(ε5ε)1/2, while away from the transition(l)∼(εt−ε)−1/2 for both systems.

Original languageEnglish
Pages (from-to)321-324
Number of pages4
JournalPhysical review letters
Issue number2
Publication statusPublished - 1998 Jul 13


ASJC Scopus subject areas

  • Physics and Astronomy(all)

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