Improved piece-wise linear and nonlinear synchronization of a class of discrete chaotic systems

Abstract

This paper deals with the chaotic synchronization of a discrete chaotic system. Based on a stable analysis, improved piece-wise linear feedback and nonlinear feedback control methods were given. Both the methods can achieve chaotic synchronization efficiently with one control input. The range of coupling coefficient is calculated in both the methods. Compared with nonlinear controls, the improved piece-wise linear controls have simpler structures and can be obtained more easily. Finally, the numerical simulation results verified the effectiveness of both the methods.

Keywords:

• chaos control
• synchronization
• discrete system
• nonlinear

2000 AMS Subject Classification :

• 65P40
• 37N35
• 93C55