Generalized projective synchronization between rössler system and new unified chaotic system

Xin Li, Yong Chen

Research output: Contribution to journalArticlepeer-review

15 Scopus citations

Abstract

Based on symbolic computation system Maple and Lyapunov stability theory, an active control method is used to projectively synchronize two different chaotic systems - Lorenz-Chen-Lü system (LCL) and Rössler system, which belong to different dynamic systems. In this paper, we achieve generalized projective synchronization between the two different chaotic systems by directing the scaling factor onto the desired value arbitrarily. To illustrate our result, numerical simulations are used to perform the process of the synchronization and successfully put the orbits of drive system (LCL) and orbits of the response system (Rössler system) in the same plot for understanding intuitively.

Original languageEnglish
Pages (from-to)132-136
Number of pages5
JournalCommunications in Theoretical Physics
Volume48
Issue number1
DOIs
StatePublished - 15 Jul 2007

Keywords

  • Active control
  • Generalized projective synchronization
  • Lorenz-Chen-Lü system
  • Rössler system
  • Scaling factor

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