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| 一类大气物理扰动Lorenz系统的渐近解 | |
| 引用本文： | 徐建中,汪维刚,莫嘉琪. 一类大气物理扰动Lorenz系统的渐近解[J]. 吉林大学学报(理学版), 2002, 57(5): 1041-1046 |
| 作者姓名： | 徐建中 汪维刚 莫嘉琪 |
| 作者单位： | 1. 亳州学院 电子与信息工程系, 安徽 亳州 236800; 2. 合肥幼儿师范高等专科学校, 合肥 230011; 3. 安徽师范大学 数学与统计学院, 安徽 芜湖 241003 |
| 摘 要： | 考虑一类扰动的广义Lorenz系统. 首先, 建立模型的一组泛函分析同伦映射系统, 然后选取系统初值问题的初始近似解, 最后由同伦映射方法得到各次渐近解, 并给出解的物理意义. |
| 关 键 词： | Lorenz方程 泛函分析 大气物理 |
| 收稿时间： | 2019-01-04 |
Asymptotic Solution to a Class of Turbulent Lorenz System for Atmospheric Physics |
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| XU Jianzhong,WANG Weigang,MO Jiaqi. Asymptotic Solution to a Class of Turbulent Lorenz System for Atmospheric Physics[J]. Journal of Jilin University: Sci Ed, 2002, 57(5): 1041-1046 | |
| Authors: | XU Jianzhong WANG Weigang MO Jiaqi |
| Affiliation: | 1. Department of Electronics and Information Engineering, Bozhou University, Bozhou 236800, Anhui Province, China;2. Hefei Preschool Education College, Hefei 230011, China;3. School of Mathematics and Statistics, Anhui Normal University, Wuhu 241003, Anhui Province, China |
| Abstract: | We considered a class of the turbulent generalized Lorenz system. Firstly, a set of homotopic mapping systems for functional analysis of model were established. Secondly, the initial approximate solution for initial value problem of system was selected. Finally, the asymptotic solutions of each order were obtained by using the homotopic mapping method, and the physical meaning of the solutions was given. |
| Keywords: | Lorenz equation functional analysis atmospheric physics |
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