Control and switching synchronization of fractional order chaotic systems using active control technique

A. G. Radwan, K. Moaddy, K. N. Salama, S. Momani, Ishak Hashim

Research output: Contribution to journalArticle

69 Citations (Scopus)

Abstract

This paper discusses the continuous effect of the fractional order parameter of the Lü system where the system response starts stable, passing by chaotic behavior then reaching periodic response as the fractional-order increases. In addition, this paper presents the concept of synchronization of different fractional order chaotic systems using active control technique. Four different synchronization cases are introduced based on the switching parameters. Also, the static and dynamic synchronizations can be obtained when the switching parameters are functions of time. The nonstandard finite difference method is used for the numerical solution of the fractional order master and slave systems. Many numeric simulations are presented to validate the concept for different fractional order parameters.

Original languageEnglish
Pages (from-to)125-132
Number of pages8
JournalJournal of Advanced Research
Volume5
Issue number1
DOIs
Publication statusPublished - Jan 2014

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Chaotic systems
Synchronization
Finite difference method

Keywords

  • Chaotic systems
  • Control
  • Fractional calculus
  • Fractional order synchronization
  • Non-standard finite difference schemes
  • Switching control

ASJC Scopus subject areas

  • General

Cite this

Control and switching synchronization of fractional order chaotic systems using active control technique. / Radwan, A. G.; Moaddy, K.; Salama, K. N.; Momani, S.; Hashim, Ishak.

In: Journal of Advanced Research, Vol. 5, No. 1, 01.2014, p. 125-132.

Research output: Contribution to journalArticle

Radwan, A. G. ; Moaddy, K. ; Salama, K. N. ; Momani, S. ; Hashim, Ishak. / Control and switching synchronization of fractional order chaotic systems using active control technique. In: Journal of Advanced Research. 2014 ; Vol. 5, No. 1. pp. 125-132.
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