Loss of lag synchronization in coupled chaotic systems

O.V. Sosnovtseva, A.G. Balanov, T.E. Vadivasova, V. V. Astakhov, Erik Mosekilde

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Abstract

Lag synchronization denotes a particular form of synchronization in which the amplitudes of two interacting, nonidentical chaotic oscillators are correlated but there is a characteristic time delay between them. We study transitions to and between different forms of synchronization for the attractors defined as "in-phase" and "out-of-phase" and investigate the processes by which lag synchronization is lost in two coupled Rossler systems. With a small frequency mismatch between the two systems, these processes are related to the occurrence of a peculiar form of basin structure as more and more periodic orbits embedded into the synchronized chaotic state become unstable in a transverse direction.
Original languageEnglish
JournalPhysical Review E. Statistical, Nonlinear, and Soft Matter Physics
Volume60
Issue number6
Pages (from-to)6560-6566
ISSN1063-651X
DOIs
Publication statusPublished - 1999

Bibliographical note

Copyright (1999) by the American Physical Society.

Keywords

  • SADDLE
  • INTERMITTENCY
  • TRANSITION
  • TRANSVERSE INSTABILITY
  • MECHANISM
  • RIDDLED BASINS
  • BIFURCATIONS
  • ATTRACTORS
  • OSCILLATOR-SYSTEMS
  • PHASE SYNCHRONIZATION

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