Chaos in the Fractional-Order Qi System and Its Synchronization Using Active Control

Author

Wu, Xiangjun ; Yang, Yang

Author_Institution

Dept. of Comput. Center, Henan Univ. Kaifeng, Kaifeng, China

fYear

2010

fDate

22-23 June 2010

Firstpage

109

Lastpage

112

Abstract

In this paper, the dynamics of the fractional-order Qi system is studied. By utilizing the fractional calculus theory and computer simulations, it is found that chaos exists in the fractional-order Qi system with order less than 3. The lowest order to yield chaos in this system is 2.745. Based on the stability theory of the fractional-order system, chaos synchronization of the fractional-order Qi system and the fractional-order Chen system, is achieved using the active control technique. Numerical simulations are performed to verify the effectiveness of the proposed synchronization scheme.

Keywords

calculus; differential equations; nonlinear control systems; numerical analysis; stability; active control technique; chaos synchronization; computer simulations; fractional calculus theory; fractional-order Chen system; fractional-order Qi system; numerical simulations; stability theory; Chaos; Control systems; Differential equations; Fractional calculus; Numerical simulation; Synchronization; Chen system; Qi system; active control; chaos synchronization; fractional-order system;

fLanguage

English

Publisher

ieee

Conference_Titel

Intelligent Computing and Cognitive Informatics (ICICCI), 2010 International Conference on

Conference_Location

Kuala Lumpur

Print_ISBN

978-1-4244-6640-5

Electronic_ISBN

978-1-4244-6641-2

Type

conf

DOI

10.1109/ICICCI.2010.63

Filename

5566025