主动同步法实现Mathieu方程的混沌同步

The chaos synchronization of the mathieu function based on the active synchronization method

首先通过全局分岔图和吸引子图对所研究的Mathieu方程的动力学行为进行了分析.在此基础上,对该方程的混沌同步进行了研究.利用主动同步方法实现了2个不同初值的Mathieu方程间的自同步,同时利用该方法实现了Mathieu方程与非线性陀螺系统间的异结构同步.数值仿真验证了该方法对实现Mathieu方程混沌同步的有效性.

In the paper,the dynamics of the Mathieu function is studied through the global bifurcation diagram and attractor.The chaos synchronization of the Mathieu function is investigated.First,the self-synchronization of two Mathieu function with different initial conditions is realized by the active synchronization method.The active synchronization of the nonlinear gyros system and the Mathieu function is achieved by the active synchronization.Numerical simulations show that the method is effective for the Mathieu function.