双向耦合混沌系统的反同步性研究

Anti-synchronism of the bidirectional coupled chaotic system

针对两个双线性耦合的统一混沌系统,通过运用自适应方法实现它们的完全反同步.自适应控制器和耦合系数均由Lyapunov稳定性理论和最小值定理估计出来,这种方法并不需具体求出耦合系数范围,也无需事先知道耦合混沌系统的最大值,就能实现反同步.将这种方法应用到Chen-Chen混沌系统的双向耦合情况,数值仿真表明该方法的有效性和实用性.

For two linearly bidirectional coupled unified chaotic systems, based on adaptive control technique, the anti-synchronization is completely realised. The adaptive-controller and the coupling coefficient are both estimated by the Lyapunov stable theorem and the minimum value theorem. This method can realise anti-synchronization, not requiring to know the scope of the coupling coefficient and the maximum value of the coupling chaotic systems. We apply this criterion to the case of the coupled Chen-Chen system to test our method, the numerical simulations illustrate that this method has a good performance.