Anti-synchronization of Liu-Chen-Liu and Liu-Su-Liu Chaotic Systems by Active Nonlinear Control

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Dr. V. Sundarapandian


The purpose of this paper is to study chaos anti-synchronization of identical Liu-Chen-Liu chaotic systems (Liu, Chen and Liu,
2007), identical Liu-Su-Liu chaotic systems (Liu, Su and Liu, 2006), and non-identical Liu-Chen-Liu and Liu-Su-Liu chaotic systems using
active nonlinear control. Sufficient conditions for achieving anti-synchronization of the identical and different Liu-Chen-Liu and Liu-Su-Lu
chaotic sytsems using active nonlinear control are derived based on Lyapunov stability theory. Since the Lyapunov exponents are not required
for these calculations, the nonlinear feedback control method is effective and convenient to anti-synchronize identical and different Liu-Chen-
Liu and Liu-Su-Liu chaotic systems. Numerical simulations are also given to illustrate and validate the anti-synchronization results for Liu-
Chen-Liu and Liu-Su-Liu chaotic systems.


Keywords: Chaos Anti-synchronization, Nonlinear Control, Liu-Chen-Liu System, Liu-Su-Liu System, Active Control.


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