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Global Chaos Synchronization of T and Liu-Chen-Liu Systems by Nonlinear Control


Affiliations
1 Research and Development Centre, Vel Tech Dr. RR & Dr. SR Technical University, Avadi, Chennai-600 062, Tamil Nadu, India
2 Department of Mathematics, Vel Tech Dr. RR & Dr. SR Technical University, Avadi, Chennai-600 062, Tamil Nadu, India
     

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In this paper, we study the global chaos synchronization of identical T systems (2008), identical Liu-Chen-Liu systems (2007) and non-identical T and Liu-Chen-Liu systems. In this paper, we apply nonlinear control method for the synchronization of identical and non-identical T and Liu-Chen-Liu systems and we establish our global synchronization results using Lyapunov stability theory. Since the Lyapunov exponents are not required for these calculations, the active nonlinear control method is very effective and convenient to synchronize T and Liu-Chen-Liu systems. Numerical simulations are also given to illustrate the effectiveness of the synchronization schemes proposed in this paper for T and Liu-Chen-Liu systems.

Keywords

Chaos Synchronization, Nonlinear Control, T System, Liu-Chen-Liu System.
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  • Global Chaos Synchronization of T and Liu-Chen-Liu Systems by Nonlinear Control

Abstract Views: 171  |  PDF Views: 3

Authors

V. Sundarapandian
Research and Development Centre, Vel Tech Dr. RR & Dr. SR Technical University, Avadi, Chennai-600 062, Tamil Nadu, India
R. Suresh
Department of Mathematics, Vel Tech Dr. RR & Dr. SR Technical University, Avadi, Chennai-600 062, Tamil Nadu, India

Abstract


In this paper, we study the global chaos synchronization of identical T systems (2008), identical Liu-Chen-Liu systems (2007) and non-identical T and Liu-Chen-Liu systems. In this paper, we apply nonlinear control method for the synchronization of identical and non-identical T and Liu-Chen-Liu systems and we establish our global synchronization results using Lyapunov stability theory. Since the Lyapunov exponents are not required for these calculations, the active nonlinear control method is very effective and convenient to synchronize T and Liu-Chen-Liu systems. Numerical simulations are also given to illustrate the effectiveness of the synchronization schemes proposed in this paper for T and Liu-Chen-Liu systems.

Keywords


Chaos Synchronization, Nonlinear Control, T System, Liu-Chen-Liu System.