Global Chaos Synchronization of Hyperchaotic Liu and Cai Systems by Active Nonlinear Control

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Dr. V. Sundarapandian
R. Suresh


This paper investigates the global exponential synchronization of hyperchaotic systems, viz. identical hyperchaotic Liu systems
(Wang and Liu, 2006), identical hyperchaotic Cai systems (Wang, Cai, Miao and Tian, 2010), and synchronization of hyperchaotic Liu and Cai
systems. Active nonlinear feedback control is the method used to achieve the synchronization of the hyperchaotic systems addressed in this
paper. Our theorems on global exponential synchronization for hyperchaotic Liu and Cai systems are established using Lyapunov stability
theory. Since the Lyapunov exponents are not required for these calculations, the nonlinear feedback control method is effective and convenient
to synchronize identical and different hyperchaotic Liu and Cai systems. Numerical simulations are also given to illustrate and validate the
synchronization results for hyperchaotic Liu and Cai systems.


Keywords: Chaos Synchronization, Nonlinear Control, Hyperchaotic Liu System, Hyperchaotic Cai System, Active Control.


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