A Note on Synchronization of a Fractional Order Coullet Chaotic System

Author

Wen Tan ; Fengling Jiang ; Jianxun Liu ; Min Chen

Author_Institution

Key Lab. of Knowledge Process. & Networked Manuf., Hunan Univ. of Sci. & Technol., Xiangtan, China

fYear

2012

Firstpage

125

Lastpage

128

Abstract

In this paper, chaos synchronization problem of the fractional order Coullet system in a master-slave pattern is investigated by using the nonlinear feedback control method. Suitable synchronization conditions are analyzed based on the Lyapunov stability theory. And the synchronization of commensurate order Coullet chaotic system of the base order 0.98 is implemented by virtue of the method. Numerical simulations are provided to verify the performance of the proposed controller.

Keywords

Lyapunov matrix equations; chaos; differential equations; feedback; nonlinear control systems; stability; synchronisation; Lyapunov stability theory; chaos synchronization problem; chaotic system; fractional order Coullet chaotic system; master slave pattern; nonlinear feedback control method; Asymptotic stability; Chaotic communication; Differential equations; Feedback control; Lyapunov methods; Synchronization; Chaotic synchronization; Fractional differential equations; Fractional order Coullet chaotic system; Nonlinear control; master-slave;

fLanguage

English

Publisher

ieee

Conference_Titel

Intelligent System Design and Engineering Application (ISDEA), 2012 Second International Conference on

Conference_Location

Sanya, Hainan

Print_ISBN

978-1-4577-2120-5

Type

conf

DOI

10.1109/ISdea.2012.544

Filename

6173164