新型超混沌系统的改进自适应广义投影同步

基于Lyapunov稳定性理论,设计合适的非线性控制器以及参数更新规则,实现一类混沌系统以及超混沌系统的改进自适应广义投影同步。该方法可以使得驱动系统和响应系统渐近地达到所有对应状态向量,按照不同的比例进行同相位或者反相位投影同步,同时既可以对响应系统中的未知参数进行辨识,也可以对驱动系统中的未知参数进行辨识,当然,该方法也可以适用于不包含未知参数的混沌系统广义投影同步。以新型的四维超混沌Lorenz系统和超混沌Chen系统为例,数值模拟结果表明了所设计控制器的有效性。

Adaptive Modified Generalized Projective Synchronization for New Hyper-chaotic Systems

A nonlinear controller of modified generalized projected synchronization and the parameter update rule were designed based on the Lyapunov stability theory. The proposed technique is proved that the controller and update rule can make all full states of the drive system and the response system asymptotically generalized projected synchronization and adaptive synchronization with the same phase or the anti-phase for chaotic system. And the driven system's unknown parameters or the response system's unknown parameters were identified. The technique has been successfully applied to the new hyperchaotic Lorenz system and the hyperchaotic Chen system. Numerical simulations verify the effectiveness and feasibility of the method.