Synchronization of two different chaotic systems with unknown parameters

Shuang Li, Wei Xu, Ruihong Li

Research output: Contribution to journalArticlepeer-review

43 Scopus citations

Abstract

In this Letter, a general method is proposed for the synchronization between two different chaotic systems with unknown parameters. This approach is based on the invariance principle of differential equations, and employs a combination of feedback control and adaptive control. With this method one can achieve synchronization between almost all chaotic systems, e.g., Lorenz system, Chen system, Liu system, Rössler system, Chua's system, etc. Although the models used in the research are the systems with unknown parameters, the method is also applicable to the systems with known parameters. Numerical simulations results are presented to demonstrate the effectiveness of the method.

Original languageEnglish
Pages (from-to)98-102
Number of pages5
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Volume361
Issue number1-2
DOIs
StatePublished - 22 Jan 2007

Keywords

  • Adaptive control
  • Different chaotic systems
  • Feedback control
  • Synchronization

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