一类高维混沌模型的动力学分析及数值仿真  

Dynamical Behaviors of a New High Order Chaos Model and Its Numerical Simulation

作　　者：王磊[1] 张勇[1] 舒永录[2] WANG Lei;ZHANG Yong;SHU Yong-lu(Basic Teaching Department of Henan Polytechnic Institute,Nanyang 473000,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：《数学的实践与认识》2018年第12期220-226,共7页Mathematics in Practice and Theory

基　　金：2017年河南省高等教育教学改革研究与实践项目(2017SJGLX144);国家自然科学基金(11171360)

摘　　要：利用微分方程与动力系统的基本理论与方法,首先从解析上推导出一类高维混沌模型的全局吸引域和最终界,然后对这个理论结果进行仿真.理论分析及数值仿真结果表明：该高维混沌模型理论研究的结果是正确的.同时,研究结果为该混沌系统在工程中的应用和电路设计提供了理论依据.On the basis of the existing literature research, this paper studies the domains ot attraction of the high order chaotic model by theoretical analysis of the dynamical systems and computer simulation. This article obtains the analytical expressions of the domains of attraction of this chaos model. Numerical simulations confirm the theoretical analysis results. The results have good reference value for the stable operation of this system. This paper also provides theory basis for application in engineering and circuit design of this system.

关 键 词：高维混沌模型 全局吸引性 有界性 数值模拟 

分 类 号：O415.5[理学—理论物理]