Phase clustering and transition to phase synchronization in a large number of coupled nonlinear oscillators

Zonghua Liu, Ying-Cheng Lai, Frank C. Hoppensteadt

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Abstract

The transition to phase synchronization in systems consisting of a large number (N) of coupled nonlinear oscillators via the route of phase clustering (phase synchronization among subsets of oscillators) is investigated. We elucidate the mechanism for the merger of phase clusters and find an algebraic scaling between the critical coupling parameter required for phase synchronization and N. Our result implies that, in realistic situations, phase clustering may be more prevalent than full phase synchronization.

Original languageEnglish
Article number055201
Number of pages4
JournalPhysical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume63
DOIs
Publication statusPublished - May 2001

Keywords

  • chaotic oscillators
  • systems
  • bifurcation

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