Noise scaling of phase synchronization of chaos

Victor Andrade, Ruslan L. Davidchack, and Ying-Cheng Lai
Phys. Rev. E 61, 3230 – Published 1 March 2000
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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.

  • Received 1 October 1999

DOI:https://doi.org/10.1103/PhysRevE.61.3230

©2000 American Physical Society

Authors & Affiliations

Victor Andrade1, Ruslan L. Davidchack1, and Ying-Cheng Lai2

  • 1Department of Physics and Astronomy, University of Kansas, Lawrence, Kansas 66045
  • 2Departments of Mathematics and Electrical Engineering, Center for Systems Science and Engineering Research, Arizona State University, Tempe, Arizona 85287-1804

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Vol. 61, Iss. 3 — March 2000

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