采用Temam无穷维动力系统的惯性流形理论,证明了两个不相同的系统能实现广义同步化.在两个系统具有吸收集和吸引子的基础上,通过定义在一个函数类上的压缩映射的不动点得到了广义同步化流形,该流形是Lipschitz光滑流形,而且具有不变性与指数吸引性.数值仿真证实了所建立理论的正确性.
Generalized synchronization of two non-identical systems is studied based on Temam' s inertia manifold theory of infinite dimensional dynamical systems. On the assumption that both systems have absorbing sets and attractors, the generalized synchronization manifold, which has the property of Lipschitz smoothness, invariance and exponential absorption, can be attained by defining a fixed point in a class of functions. Simulation results validate the theory.