We considered a class of the turbulent generalized Lorenz system .Firstly , a set of homotopic mapping system s for functional analysis of model w ere established .Secondly , the initial approximate solution for initial value problem of system w as selected .Finally , the asy mptotic solutions of each order w ere obtained by using the ho motopic mapping method , and the physical meaning of the solutions w as given .%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 .
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