Synchronization between two different noise-perturbed chaotic systems with unknown parameters

Fei Lei Jia, Wei Xu, Lin Du

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

In this paper, a general method of synchronizing noise-perturbed chaotic systems with unknown parameters is proposed. Based on the LaSalle-type invariance principle for stochastic differential equations and by employing a combination of feedback control and adaptive control, some sufficient conditions of chaos synchronization between these noise-perturbed systems with unknown parameters are established. The model used in the research is the chaotic system, but the method is also applicable to the hyperchaotic systems. Unified system and noise-perturbed Rössler system, hyperchaotic Chen system and noise-perturbed hyperchaotic Rössler system are taken for illustrative examples to demonstrate this technique.

Original languageEnglish
Pages (from-to)3249-3255
Number of pages7
JournalChinese Physics
Volume16
Issue number11
DOIs
StatePublished - 1 Nov 2007

Keywords

  • Adaptive control
  • Noise perturbation
  • Synchronization
  • Unknown parameters

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