Upper bounds in phase synchronous weak coherent chaotic attractors

Murilo Da Silva Baptista, T. Pereira, Jurgen Kurths

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

An approach is presented for coupled chaotic systems with weak coherent motion, from which we estimate the upper bound value for the absolute phase difference in phase synchronous states. This approach shows that synchronicity in phase implies synchronicity in the time of events, a characteristic explored to derive an equation to detect phase synchronization, based on the absolute difference between the time of these events. We demonstrate the potential use of this approach for the phase coherent and the funnel attractor of the Rossler system, as well as for the spiking/bursting Rulkov map. (c) 2006 Elsevier B.V. All rights reserved.

Original languageEnglish
Pages (from-to)260-268
Number of pages9
JournalPhysica. D, Nonlinear Phenomena
Volume216
Issue number2
DOIs
Publication statusPublished - 15 Apr 2006

Keywords

  • chaotic phase synchronization
  • phase of chaotic attractors
  • synchronization
  • information
  • systems

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