一类大气混沌模型的动力学分析及数值仿真

doi:10.3785/j.issn.1008-9497.2018.01.004

浙江大学学报（理学版）

2018, Vol. 45

Issue (1): 18-22 DOI: 10.3785/j.issn.1008-9497.2018.01.004

数学与计算机科学

一类大气混沌模型的动力学分析及数值仿真

张勇¹, 杨雪玲², 舒永录³

1. 河南工业职业技术学院基础教学部, 河南南阳 473000;
2. 河南工业职业技术学院汽车工程学院, 河南南阳 473000;
3. 重庆大学数学与统计学院, 重庆 401331

Dynamical behaviors of a new atmospheric chaos model and its numerical simulation

ZHANG Yong¹, YANG Xueling², SHU Yonglu³

1. Basic Teaching Department of Henan Polytechnic Institute, Nanyang 473000, Henan Province, China;
2. Department of Automobile Engineering, Henan Polytechnic Institute, Nanyang 473000, Henan Province, China;
3. College of Mathematics and Statistics, Chongqing University, Chongqing 401331, China

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摘要： 基于已有文献以及微分方程与动力系统的基本理论与方法，采用解析方法推导了一类大气混沌模型的全局吸引域和最终界，并对此模型进行了仿真.数值仿真表明了理论分析结果的正确性.研究结果可为该混沌系统的工程应用和电路设计提供一定的理论依据.

关键词： 大气混沌模型; 全局吸引性; 有界性; 数值模拟

Abstract: Based on the existed literature, this paper studies the domains of attraction of the atmospheric chaos model by theoretical analysis of the dynamical systems and computer simulation. The analytical expressions of the domains of attraction of the atmospheric chaos model are derived. Numerical simulations confirm the theoretical analysis results. The results have good reference value for the stable operation of this kind of system, and provide theory basis for the application in engineering and circuit design of this system.

Key words: atmospheric chaotic model global attractability the boundedness numerical simulation

收稿日期: 2016-10-04 出版日期: 2017-12-15

CLC:

O241.84

基金资助: 国家自然科学基金资助项目（11171360）.

作者简介: 张勇(1981-),ORCID:http://orcid.org/0000-0001-6973-4529,男,硕士,副教授,主要从事混沌系统理论及其应用研究,E-mail:zhangyongzhang2013@163.com.

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引用本文:

张勇, 杨雪玲, 舒永录. 一类大气混沌模型的动力学分析及数值仿真[J]. 浙江大学学报（理学版）, 2018, 45(1): 18-22.

ZHANG Yong, YANG Xueling, SHU Yonglu. Dynamical behaviors of a new atmospheric chaos model and its numerical simulation. Journal of ZheJIang University(Science Edition), 2018, 45(1): 18-22.

链接本文:

https://www.zjujournals.com/sci/CN/10.3785/j.issn.1008-9497.2018.01.004 或 https://www.zjujournals.com/sci/CN/Y2018/V45/I1/18

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