Chaos in the fractional-order Qi system and its synchronization using active control

【Author】

Xiangjun Wu Department of Computing Center and Institute of Complex Intelligent Network system,Henan University Kaifeng 475004,ChinaYang Yang Department of Computing Center,Henan University Kaifeng 475004,China

【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】

fractional-order system;Qi system;Chen system;active control;chaos synchronization

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