统一混沌系统的全局指数吸引集的新结果  

New results of globally exponentially attractive set of a unified chaotic system

作　　者：鞠培军[1] 田力[1] 孔宪明[1] 张卫[1] 刘国彩[1] 

机构地区：[1]泰山学院数学与系统科学学院,山东泰安271021

出　　处：《纯粹数学与应用数学》2012年第1期113-118,136,共7页Pure and Applied Mathematics

基　　金：山东省软科学研究计划项目(2010RKGA2051)

摘　　要：研究了参数α∈[1/29,14/173)时,统一混沌系统的全局指数吸引集问题.通过线性变换和广义Lyapunov函数方法,给出了系统最终上界的精确估计.所得结果发展和丰富了现有混沌系统吸引集的结果,并将在混沌控制和同步中得到广泛应用.The globally exponentially attractive set of a unified chaotic system with the parameter α∈ [1/29, 14/173） was discussed by using linear reformation and the generalized Lyapunov function, and the explicit estimations of the ultimate bound is derived. The established theorems in this paper develop and extend the existing achievements on attractive set of chaotic system. The obtained results will find wide application in chaos control and synchronization.

关 键 词：统一混沌系统 全局指数吸引集 广义Lypunov函数 

分 类 号：O29[理学—应用数学] O415.5[理学—数学]