时空混沌系统参量辨识律的设计与投影同步研究

Design of parameter identification law and studies on projective synchronization of spatiotemporal chaotic system

研究了相互耦合的时空混沌系统的参量辨识与投影同步问题.依据Lyapunov定理,设计了参量辨识律和表征耦合强度的待定函数的自适应律,对响应系统中的未知参量进行了有效辨识,并完成了时空混沌系统的投影同步研究.采用具有时空混沌行为的Burgers方程作为实例进行了仿真分析.

The parameter identification and the projective synchronization between spatiotemporal chaotic systems are studied.The parameter identification law and the adaptive law of undetermined function representing the coupling strength are designed based on Lyapunov theorem.Not only the unknown parameters in responses system are identified,but also projective synchronization between spatiotemporal chaotic systems is realized.The Burgers equation with spatiotemporal chaos behavior is further taken as an example of simulation analysis.