Generalized Function Projective Synchronization of Chaotic Systems with Time-delay and Stochastic Perturbation

Author

Zhang, Shuo ; Yu, Yongguang ; Wang, Hu

Author_Institution

Dept. of Math., Beijing Jiaotong Univ., Beijing, China

fYear

2012

fDate

18-21 Oct. 2012

Firstpage

268

Lastpage

272

Abstract

Generalized function projective synchronization of coupled chaotic systems with parameter mismatch, time-delay and stochastic perturbation is investigated. The synchronization is realized by analyzing the stochastic stability of the error system. According to the invariance principle of the stochastic differential equation, the unknown parameters update laws and the control laws are proposed. The generalized function projective synchronization of coupled chaotic or hyper chaotic systems is realized. At last, a numerical example is presented to show the effectiveness of the theoretical results.

Keywords

chaos; differential equations; stochastic processes; synchronisation; chaotic systems; control laws; coupled chaotic system; error system; generalized function projective synchronization; hyper-chaotic system; invariance principle; stochastic differential equation; stochastic perturbation; stochastic stability; Chaotic communication; Delay; Equations; Synchronization; Vectors; Chaos; Generalized function projective synchronization; Invariance principle; Parameter mismatch; Stochastic perturbation;

fLanguage

English

Publisher

ieee

Conference_Titel

Chaos-Fractals Theories and Applications (IWCFTA), 2012 Fifth International Workshop on

Conference_Location

Dalian

Print_ISBN

978-1-4673-2825-8

Type

conf

DOI

10.1109/IWCFTA.2012.63

Filename

6383196