Anti-Synchronization of Pan and Lorenz-Lu-Liu-Cai Chaotic Systems by Active Nonlinear Control

Anti-Synchronization of Pan and Lorenz-Lu-Liu-Cai Chaotic Systems by Active Nonlinear Control

Ayub Khan, Ram Pravesh Prasad
Copyright: © 2012 |Pages: 11
DOI: 10.4018/jalr.2012040102
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Abstract

In this paper, the authors investigate the anti-synchronization of chaotic Pan, Lorenz, and Lu systems and anti-synchronization of Liu and Cai systems. Global exponential synchronization of Pan, Lorenz, Lu, Liu, and Cai chaotic systems are established by using Lyapunov stability theory. Numerical simulations are performed to illustrate the effectiveness of the proposed synchronization schemes for Pan, Lorenz, Lu, Liu, and Cai chaotic systems.
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2. Methodology

Consider the chaotic system described by the dynamics

jalr.2012040102.m01
(2.1) where jalr.2012040102.m02 is the state of system, A is the jalr.2012040102.m03 matrix of the system parameters and jalr.2012040102.m04 is the nonlinear part of the system. We consider the system (2.1) as the master or drive system.

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