Limits to chaotic phase synchronization

Liang Zhao, Ying-Cheng Lai, H R Wang, J Y Gao

Research output: Contribution to journalArticlepeer-review

11 Citations (Scopus)


Phase synchronization in coupled chaotic oscillators, a situation where the phase differences of the oscillators are bounded while their amplitudes remain uncorrelated, has been shown to occur for chaotic attractors having a proper structure of rotation in phase space. As applications of phase synchronization become popular, it is important to understand its limit. Here we show that phase synchronization in the above sense cannot occur for the general class of coupled Lorenz type of chaotic oscillators. For such a system, intermittent synchronization between the dynamical variables sets in as soon as an originally null Lyapunov exponent becomes negative.

Original languageEnglish
Pages (from-to)324-330
Number of pages7
JournalEurophysics Letters
Issue number3
Publication statusPublished - May 2004


  • dynamical-systems
  • periodic-orbits
  • oscillators


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