Hybrid phase synchronization between identical and nonidentical three-dimensional chaotic systems using the active control method

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

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Author(s)

  • S. Das
  • M. Srivastava
  • A. Y T Leung

Detail(s)

Original languageEnglish
Pages (from-to)2261-2272
Journal / PublicationNonlinear Dynamics
Volume73
Issue number4
Publication statusPublished - Sept 2013

Abstract

In this article, the active control method is used to investigate the hybrid phase synchronization between two identical Rikitake and Windmi systems, and also between two nonidentical systems taking Rikitake as the driving system and Windmi system as the response system. Based on the Lyapunov stability theory, the sufficient conditions for achieving the hybrid phase synchronization of two chaotic systems are derived. The active control method is found to be very effective and convenient to achieve hybrid phase chaos synchronization of the identical and nonidentical chaotic systems. Numerical simulation results which are carried out using the Runge-Kutta method show its feasibility and effectiveness for the synchronization of dynamical chaotic systems. © 2013 Springer Science+Business Media Dordrecht.

Research Area(s)

  • Active control method, Chaos, Hybrid synchronization, Phase synchronization, Rikitake system, Windmi system

Citation Format(s)

Hybrid phase synchronization between identical and nonidentical three-dimensional chaotic systems using the active control method. / Das, S.; Srivastava, M.; Leung, A. Y T.
In: Nonlinear Dynamics, Vol. 73, No. 4, 09.2013, p. 2261-2272.

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