对一类强非线性系统的分析
ANALYSIS ON A KIND OF STRONG NONLINEAR SYSTEM
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摘要: 本文研究了一类强非线性系统,首先对系统在相平面上的全局结构进行定性分析,得到了系统参数的分叉值,然后研究了摄动方法在定性分析中的应用。Abstract: In this paper, a kind of strong nonlinear system is investigated, which can be treated as extension of the system of T. D. Burton and M. N. Harridan. At first, the qualitative behaviour of the system is analysed. The bifurcation value of this system is obtained. Then the Dai Shiqiang's perturbation method is applied to analyse the qualitative behaviour of this system.
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