Synchronism in symmetric hyperchaotic systems

Ying-Cheng Lai

Research output: Contribution to journalArticlepeer-review

16 Citations (Scopus)

Abstract

We demonstrate that for symmetric dynamical systems with an invariant subspace in which there is a chaotic attractor, synchronism between the transverse subsystem and its replica can be achieved in wide parameter regimes. The synchronism occurs in situations where the interaction between the invariant subsystem and the transverse subsystem can be either unidirectional or bidirectional, and the full system can possess more than one positive Lyapunov exponent. The idea is illustrated by a numerical example.

Original languageEnglish
Pages (from-to)R4861-R4864
Number of pages4
JournalPhysical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume55
Issue number5
DOIs
Publication statusPublished - May 1997

Keywords

  • coupled oscillator-systems
  • chaotic systems
  • riddled basins
  • proportional feedback
  • attractors
  • communication
  • intermittency
  • bifurcations
  • signals

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