Adaptive anti-synchronization of two identical and different hyperchaotic systems with uncertain parameters

M. Mossa Al-Sawalha, Mohd. Salmi Md. Noorani

Research output: Contribution to journalArticle

43 Citations (Scopus)

Abstract

This paper brings attention to hyperchaos anti-synchronization between two identical and different hyperchaotic systems by using adaptive control. The sufficient conditions for achieving the anti-synchronization of two hyperchaotic systems are derived based on Lyapunov stability theory. An adaptive control law and a parameter update rule for unknown parameters are introduced such that the hyperchaotic Chen system is controlled to be the hyperchaotic Lü system. Theoretical analysis and numerical simulations are shown to verify the results.

Original languageEnglish
Pages (from-to)1036-1047
Number of pages12
JournalCommunications in Nonlinear Science and Numerical Simulation
Volume15
Issue number4
DOIs
Publication statusPublished - Apr 2010

Fingerprint

Anti-synchronization
Hyperchaotic System
Uncertain Parameters
Synchronization
Adaptive Control
Hyperchaos
Chen System
L-system
Lyapunov Stability Theory
Unknown Parameters
Theoretical Analysis
Computer simulation
Update
Verify
Numerical Simulation
Sufficient Conditions

Keywords

  • Adaptive control
  • Anti-synchronization
  • Hyperchaotic Chen system
  • Hyperchaotic Lü system
  • Unknown parameters

ASJC Scopus subject areas

  • Modelling and Simulation
  • Numerical Analysis
  • Applied Mathematics

Cite this

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AB - This paper brings attention to hyperchaos anti-synchronization between two identical and different hyperchaotic systems by using adaptive control. The sufficient conditions for achieving the anti-synchronization of two hyperchaotic systems are derived based on Lyapunov stability theory. An adaptive control law and a parameter update rule for unknown parameters are introduced such that the hyperchaotic Chen system is controlled to be the hyperchaotic Lü system. Theoretical analysis and numerical simulations are shown to verify the results.

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