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Function projective synchronization of discrete-time chaotic and hyperchaotic systems using backstepping method

  • Yi Liang Jin*
  • , Xin Li
  • , Yong Chen
  • *Corresponding author for this work
  • Nonlinear Science Center
  • Chinese Academy of Sciences
  • Changshu Institute of Technology

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper, a function projective synchronization scheme is developed to investigate the function projective synchronization between the discrete-time driven chaotic system and the discrete-time response chaotic system. With the aid of symbolic-numeric computation, we use the scheme to study the function projective synchronization between 2D Lorenz discrete-time system and Hénon discrete-time system, as well as that between 3D discrete-time hyperchaotic system and Hénon-like map via three scalar controllers, respectively. Moreover numerical simulations are used to verify the effectiveness of the proposed scheme.

Original languageEnglish
Pages (from-to)111-116
Number of pages6
JournalCommunications in Theoretical Physics
Volume50
Issue number1
DOIs
StatePublished - 15 Jul 2008
Externally publishedYes

Keywords

  • Backstepping design
  • Discrete-time chaotic map
  • Discrete-time chaotic system
  • Function projective synchronization
  • Symbolic-numeric computation

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