一类四维超混沌系统全局指数吸引集的新结果  

New results of globally exponentially attractive set for a class of hyperchaotic systems

作　　者：尹社会[1] 张勇[1] 

机构地区：[1]河南工业职业技术学院基础教学部,河南南阳473000

出　　处：《东北师大学报（自然科学版）》2016年第2期52-55,共4页Journal of Northeast Normal University(Natural Science Edition)

基　　金：河南省基础与前沿技术项目(142300410416);南阳市科学技术发展规划项目(2012GG035)

摘　　要：基于微分方程的基本理论和方法,采用理论分析和计算机模拟相结合的方式,利用微分方程比较定理研究了一类四维超混沌系统的全局指数吸引集.对于系统的不同参数,得到了该超混沌系统全局吸引集统一的数学表达式,同时得到了正半轨线的速率估计.最后,用计算机模拟验证了计算理论的正确性.该研究结果为超混沌系统的混沌控制、混沌同步、吸引子维数的估计提供了理论依据.Based on the theory and the method of differential equations,this paper investigates complex dynamical behaviors of a new class of hyper-chaotic systems by theoretical analysis and matlab simulation combined method.The global attractive sets of this hyperchaotic system are obtained.In this paper,the unified mathematical expression of the global attractive sets of the system are obtained by the comparison theorem of differential equations.Finally,computer simulation verifies the correctness of the theoretical calculation.This article provides a theoretical basis for chaos control,chaos synchronization,the attractor dimension estimate of this system.This method can be extended to study other chaotic systems.

关 键 词：超混沌系统 全局指数吸引集 混沌同步 计算机仿真 

分 类 号：O241.84[理学—计算数学] O29[理学—数学]