Optimization Techniques for Decision-making and Information Security

Anti-synchronization Between Different Nonlinear Chaotic Systems Via Active Nonlinear Control Method

Author(s): Sanjay Kumar and Ram Pravesh Prasad *

Pp: 62-74 (13)

DOI: 10.2174/9789815196320124030008

* (Excluding Mailing and Handling)


This research article establishes anti-synchronization between the three-dimensional non-identical nonlinear Chen-Lee, Lorenz-Stenflo and Liu-Chen chaotic systems via active nonlinear control techniques. Phase portraits of master and slave systems in the form of antisynchronization are investigated. The stability results are discussed by the stability theory of Lyapunov function. Anti-synchronization of chaotic Chen-Lee system and chaotic Lorenzstenflo systems as well as anti-synchronization of chaotic Chen-Lee and Liu-Chen systems have been established using active control methodologies. The active control method is more efficient to obtain the anti-synchronization between different chaotic systems. Numerical results are also discussed by the proposed method.

Keywords: Chen-Lee systems; Lorenz-Stenflo systems; Liu-Chen systems; Active control; Stability theory.

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