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| 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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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.
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Received: 04 October 2016
Published: 15 December 2017
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一类大气混沌模型的动力学分析及数值仿真
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
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