Noise scaling of phase synchronization of chaos

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

Research output: Contribution to journalArticlepeer-review

39 Scopus citations

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 2π’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 (US)
Pages (from-to)3230-3233
Number of pages4
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume61
Issue number3
DOIs
StatePublished - 2000

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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