Three Types of Transitions to Phase Synchronization in Coupled Chaotic Oscillators

Grigory V. Osipov, Bambi Hu, Changsong ZHOU, Mikhail V. Ivanchenko, Jrgen Kurths

Research output: Contribution to journalJournal articlepeer-review

155 Citations (Scopus)


We study the effect of noncoherence on the onset of phase synchronization of two coupled chaotic oscillators. Depending on the coherence properties of oscillations characterized by the phase diffusion, three types of transitions to phase synchronization are found. For phase-coherent attractors this transition occurs shortly after one of the zero Lyapunov exponents becomes negative. At rather strong phase diffusion, phase locking manifests a strong degree of generalized synchronization, and occurs only after one positive Lyapunov exponent becomes negative. For intermediate phase diffusion, phase synchronization sets in via an interior crises of the hyperchaotic set.

Original languageEnglish
JournalPhysical Review Letters
Issue number2
Publication statusPublished - 11 Jul 2003

Scopus Subject Areas

  • Physics and Astronomy(all)


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