一个新超混沌系统的自适应同步(英文)

Adaptive Synchronization of a New Hyperchaos

对于一个新的四维超混沌系统,通过相平面分析和Lyapunov计算对其进行了简单的分析。基于Lyapunov稳定性理论和Babalat引理,设计出适当的控制器和相应的参数自适应律,最终实现了两个同样的参数完全未知的该超混沌系统的全局同步。数值模拟结果证明了该控制器设计的有效性。

For a novel four-dimensional hyperchaos, we analyzed its complex properties by phase portrait and computing Lyapunov exponent. Based on Lyapunov stability theorem and Babalat＇ s lemma the appropriate controller and parameter adaptive law were designed so as to synchronize the two identical hyper- chaotic systems with unknown parameters. Simulation results were proposed to demonstrate the effectiveness of the controller.