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| 一类大气混沌模型的动力学分析及数值仿真 | |
| 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. |
| 作者姓名： | 张勇 杨雪玲 舒永录 |
| 作者单位： | 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 |
| 基金项目： | 国家自然科学基金资助项目（11171360）. |
| 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 |
| 收稿时间： | 2016-10-04 |
Dynamical behaviors of a new atmospheric chaos model and its numerical simulation |
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| ZHANG Yong,YANG Xueling,SHU Yonglu.Dynamical behaviors of a new atmospheric chaos model and its numerical simulation[J].Journal of Zhejiang University(Sciences Edition),2018,45(1):18-22. | |
| Authors: | ZHANG Yong YANG Xueling SHU Yonglu |
| Institution: | 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 |
| 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. |
| Keywords: | atmospheric chaotic model global attractability the boundedness numerical simulation |
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