Noise scaling of phase synchronization of chaos

Victor Andrade, Ruslan L. Davidchack, Ying-Cheng Lai

Research output: Contribution to journalArticle

39 Citations (Scopus)

Abstract

We investigate the effect of noise on phase synchronization of coupled chaotic oscillators. It is found that additive white noise can induce phase slips in integer multiples of 2 pi's in parameter regimes where phase synchronization is observed in the absence of noise. The average time duration of the temporal phase synchronization scales with the noise amplitude in a way that can be described as superpersistent transient. We give two independent heuristic derivations that yield the same numerically observed scaling law.

Original languageEnglish
Pages (from-to)3230-3233
Number of pages4
JournalPhysical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume61
Issue number3
DOIs
Publication statusPublished - 1 Mar 2000

Keywords

  • oscillators
  • transition
  • systems
  • bifurcation

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