earticle

영어

In this paper, the chaotic behaviors in the fractional order Chen system with time delays are numerically investigated. By use of the fractional calculus techniques, we find that chaos exists in the fractional order Chen system with time delays when the order is less than 3. Chaos synchronization of the fractional order Chen system is theoretically and numerically studied using active control. Through the analysis of the error dynamical systems by using the Laplace transform theory, the time-delay correlative synchronization controller is designed to achieve chaos synchronization. At last, numerical simulations are provided to verify the effectiveness and feasibility of the developed method.