一类非线性混沌动力系统分析  

Analysis on a nonlinear chaos dynamical system

作　　者：王磊[1] 张勇[1] 舒永录[2] WANG Lei;ZHANG Yong;SHU Yonglu(Basic Teaching Department of Henan Polytechnic Institute,Nanyang 473000,Henan Province,China;College of Mathematics and Statistics,Chongqing University,Chongqing 401331,China)

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 [2]重庆大学数学与统计学院,重庆401331

出　　处：《浙江大学学报（理学版）》2021年第5期550-556,共7页Journal of Zhejiang University（Science Edition）

基　　金：国家自然科学基金资助项目(11171360)。

摘　　要：根据混沌动力系统的稳定性理论,通过引入广义李雅普诺夫函数,研究了一类广义大气混沌动力系统的全局指数吸引集与最终界,并给出了相应的Matlab仿真。研究结果可为研究大气混沌动力系统的运动提供理论依据,也可用于研究该混沌动力系统的混沌控制和同步。Based on the stability theory of chaotic dynamical system,the global attractive sets and the ultimate bound set of a class of a generalized atmospheric chaotic system are studied by introducing the generalized Lyapunov function.The corresponding Matlab simulation is demonstrated.Our results provide a theoretical basis for studying the motion of the atmospheric chaotic system and can also be used to study chaos control and chaos synchronization of this chaotic system.

关 键 词：大气混沌动力系统 混沌吸引子 全局吸引集 混沌控制 

分 类 号：O241.84[理学—计算数学]