一类分数阶混沌系统的同步

The Synchronization of a Chaotic Fractional Order System

在整数阶微分方程的基础上,建立了一类新的分数阶系统.数值仿真表明系统具有混沌性态,利用分数阶线性系统平衡点渐近稳定的充分条件和反馈控制方法得到了新的分数阶系统混沌同步方法,利用预估校正方法进行数值仿真,验证了方案的有效性。

In this paper, a new chaotic fractional order system is established based on ordinary differential e-quation. Experiment shows that it has chaotic state. The chaotic synchronization method has been derived using feedback control method and the sufficient conditions of asymptotically stable in equilibrium points. The predictor--corrector algorithm has been designed to verify the validity of the obtained solution and numerical simulations are carried out to demonstrate the effectiveness of the established laws.