Study on Impulsive Synchronization of Chaotic System by Computing Conditional Lyapunov Exponent

Abstract

To break through strict preconditions of the coupling matrix between drive and response systems in traditional impulsive research, a new method of computing conditional Lyapunov exponent for impulsive synchronization of chaotic system is introduced to study impulsive synchronization. This method is developed on the basis of the classical Wolfs Algorithm and can compute conditional Lyapunov exponent effectively by adding impulsive control. The impulsive intensity is determined by the impulse coupling matrix between drive and response systems. Moreover the computation load can be simplified greatly by setting computing step size equal to impulsive control interval. The correctness and availability of this method is verified by computing the maximum conditional Lyapunov exponent of Lorenz system and simulation results show this method effective and useful.