Dual synchronization of chaotic and hyperchaotic systems

A. Almatroud Othman, Mohd. Salmi Md. Noorani, M. Mossa Al-Sawalha

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

The existence of the dual synchronization behavior between a pair of chaotic and hyperchaotic systems is investigated via a nonlinear controller, in which the nonlinear functions of the system are used as a nonlinear feedback term. The sufficient conditions for achieving the dual synchronization behavior between a pair of chaotic and hyperchaotic systems using a nonlinear feedback controller are derived by using the Lyapunov stability theorem. The dual synchronization behavior between a pair of chaotic systems (Chen and Lorenz system) and a pair of hyperchaotic systems hyperchaotic Chen system and hyperchaotic Lü system are taken as two illustrative examples to show the effectiveness of the proposed method. Theoretical analysis and numerical simulations are performed to verify the results.

Original languageEnglish
Pages (from-to)4666-4677
Number of pages12
JournalJournal of Nonlinear Science and Applications
Volume9
Issue number6
Publication statusPublished - 2016

Fingerprint

Hyperchaotic System
Chaotic System
Synchronization
Chen System
Controller
L-system
Lyapunov Theorem
Lorenz System
Lyapunov Stability
Stability Theorem
Nonlinear Function
Theoretical Analysis
Verify
Numerical Simulation
Sufficient Conditions
Term

Keywords

  • Chaos
  • Dual synchronization
  • Hyperchaos
  • Lyapunov stability theory

ASJC Scopus subject areas

  • Analysis
  • Algebra and Number Theory

Cite this

Dual synchronization of chaotic and hyperchaotic systems. / Othman, A. Almatroud; Md. Noorani, Mohd. Salmi; Al-Sawalha, M. Mossa.

In: Journal of Nonlinear Science and Applications, Vol. 9, No. 6, 2016, p. 4666-4677.

Research output: Contribution to journalArticle

Othman, A. Almatroud ; Md. Noorani, Mohd. Salmi ; Al-Sawalha, M. Mossa. / Dual synchronization of chaotic and hyperchaotic systems. In: Journal of Nonlinear Science and Applications. 2016 ; Vol. 9, No. 6. pp. 4666-4677.
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