Adaptive Synchronization Between Hyperchaotic Lorenz System and Chen System

Author

Xu Chen ; Feng Jian-wen ; Austin, F. ; Zhang Wei-qiang

Author_Institution

Inst. of Intell. Comput. Sci., Shenzhen Univ., Shenzhen, China

Volume

1

fYear

2009

fDate

11-14 Dec. 2009

Firstpage

662

Lastpage

665

Abstract

This paper introduces the chaos synchronization between two different hyperchaotic systems with fully unknown parameters, i. e. the synchronization between hyperchaotic Lorenz system and hyperchaotic Chen system. Based on the Lyapunov stability theory, an adaptive control law is derived for the case when the parameters of the drive and response systems to be synchronized are fully uncertain. Finally, numerical simulation results are presented to show the effectiveness of the techniques.

Keywords

Lyapunov methods; adaptive control; chaos; numerical analysis; stability; synchronisation; Lyapunov stability theory; adaptive control law; adaptive synchronization; chaos synchronization; hyperchaotic Chen system; hyperchaotic Lorenz system; hyperchaotic systems; numerical simulation; Adaptive control; Chaotic communication; Competitive intelligence; Computational intelligence; Control systems; Lyapunov method; Mathematics; Numerical simulation; Optical arrays; Security;

fLanguage

English

Publisher

ieee

Conference_Titel

Computational Intelligence and Security, 2009. CIS '09. International Conference on

Conference_Location

Beijing

Print_ISBN

978-1-4244-5411-2

Type

conf

DOI

10.1109/CIS.2009.122

Filename

5375838