三种方法实现超混沌Chen系统的反同步

Three methods of anti-synchronization of hyperchaotic Chen system

以超混沌Chen系统为例研究了反同步的三种方法——主动控制法、全局控制法和变量替换法.通过Lyapunov稳定性理论及最大Lyapunov指数计算给出了相应的证明,其中变量替换法可以传递单路信号实现混沌系统的反同步,比以往所用方法有更高的实用价值.通过数值仿真,验证了方法的有效性.

This paper studies the realization of anti-synchronization of hyperchaotic Chen system by three methods, i.e., the active control method, global control method and variable replacement method. The methods are proved valid by Lyapunov stability theory and numerical calculation of the largest Lyapunov exponent. The variable replacement method is more practical because it can anti-synchronize drive system and response system by transmitting one single signal. Numerical simulations show the effectiveness of the three methods.