Journal of Jilin University Science Edition ›› 2019, Vol. 57 ›› Issue (5): 1041-1046.

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Asymptotic Solution to a Class of Turbulent Lorenz System for Atmospheric Physics

XU Jianzhong1, WANG Weigang2, MO Jiaqi3   

  1. 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
  • Received:2019-01-04 Online:2019-09-26 Published:2019-09-17
  • Contact: MO Jiaqi E-mail:mojiaqi@mail.ahnu.edu.cn

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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.

Key words: Lorenz equation, functional analysis, atmospheric physics

CLC Number: 

  • O175.14
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