Chaos Control and Synchronization of a New Chaotic System

Author

Xie, Chengrong ; Xu, Yuhua

Author_Institution

Dept. of Math., Yunyang Teachers´´ Coll., Shiyan, China

fYear

2010

Firstpage

43

Lastpage

47

Abstract

This paper introduces a new chaotic system. Some basic dynamical properties are studied, such as the equilibria, the Lyapunov exponents and the fractal dimension. Based on these properties, effective feedback controllers are proposed for stabilizing chaos to unstable equilibria. In addition, based on Lyapunov stability theory, sufficient condition for the synchronization has been analyzed theoretically for two different response systems, and compare the speed of synchronization between the drive system and two different response systems. Numerical simulations are given to show the effectiveness of these methods.

Keywords

Lyapunov methods; chaos; feedback; fractals; nonlinear control systems; nonlinear dynamical systems; synchronisation; Lyapunov exponents; Lyapunov stability theory; chaos control; chaotic system; drive system; dynamical property; effective feedback controllers; fractal dimension; response systems; stabilizing chaos; sufficient condition; synchronization; unstable equilibria; Adaptive control; Chaotic communication; Eigenvalues and eigenfunctions; Synchronization; Trajectory; Chaos control; Feedback control; Synchronization;

fLanguage

English

Publisher

ieee

Conference_Titel

Chaos-Fractals Theories and Applications (IWCFTA), 2010 International Workshop on

Conference_Location

Kunming, Yunnan

Print_ISBN

978-1-4244-8815-5

Type

conf

DOI

10.1109/IWCFTA.2010.71

Filename

5671128