一个多维混沌系统的最终有界集和正向不变集及其在同步之中的应用

摘要

We have studied a five-dimension autonomous chaotic system which is different from the Lorenz system, Chen system, Lu system, T system and Qi system. The system has one parameter and six non-linear product terms. For this system, we derive a bound estimation for five-dimensional ellipsoidal ultimate bound set and positively invariant set. Finally, the result is applied to the chaos synchronization. Numerical simulations are presented to show the effectiveness of the proposed scheme.%研究了一个新的不同于Lorenz系统、Chen系统和Lu系统、T系统、Qi系统的五维自治混沌系统，该系统有1个参数，6个非线性乘积项；得到了该系统的一个五维椭球最终有界集和正向不变集界估计；最后，结果应用到混沌同步之中去，数值仿真显示了方案的可行性．