Homotopic mapping method for solving a class of Lorenz system

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Abstract
The problem of solving the Lorenz equation is considered. Firstly，a set of homotopic mapping is constructed. Then the initial approximate solution is determined. Finally，using the homotopic mapping，the approximation for corresponding model is found. The homotopic mapping method is an analytic method，the obtained solution can be used in analytic operations subsequently.

Keywords:
Lorenz equation /

homotopic mapping /

approximate solution /

El Nio and La Nio phenomena
Authors and contacts
Mo Jia-Qi¹,

Lin Wan-Tao²

(1)安徽师范大学数学系，芜湖 241000；上海高校计算科学院E-研究院上海交通大学研究所，上海 200240；湖州师范学院数学系，湖州 313000; (2)大气科学和地球流体力学数值模拟国家重点实验室，中国科学院大气物理研究所，北京 100029
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