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 (Department of Mathematics, Zakir Husain College, University of Delhi, Delhi, India) and Ram Pravesh Prasad (Department of Mathematics, University of Delhi, Delhi, India)
Copyright: © 2012 |Pages: 11
DOI: 10.4018/jalr.2012040102

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

(2.1) where is the state of system, A is the matrix of the system parameters and is the nonlinear part of the system. We consider the system (2.1) as the master or drive system.

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