Chaos in the fractional order unified system and its synchronization

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

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Detail(s)

Original languageEnglish
Pages (from-to)392-401
Journal / PublicationJournal of the Franklin Institute
Volume345
Issue number4
Publication statusPublished - Jul 2008

Abstract

The chaotic behaviors in the fractional order unified system are numerically investigated. By utilizing the fractional calculus techniques, we found that chaos exists in the fractional order unified system with order less than 3. The lowest order we found to have chaos in this system is 2.76. Chaos synchronization of the fractional order unified system is theoretically and numerically studied using the one-way coupling method. The suitable conditions for achieving synchronization of the fractional order differential system are derived by using the Laplace transform theory. It is noticed that the time required for achieving synchronization of the drive system and the response system and the synchronization effect sensitively depend on the coupling strength. Numerical simulations are performed to verify the theoretical analysis. © 2007 The Franklin Institute.

Research Area(s)

  • Chaos synchronization, Fractional order, The Laplace transform theory, The one-way coupling method, The unified system