| 对一类强非线性系统的分析 |
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| 引用本文： | 王振东,程友良.对一类强非线性系统的分析[J].力学学报,1990,22(3):356-361. |
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| 作者姓名： | 王振东 程友良 |
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| 作者单位： | 天津大学力学系，300072 |
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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。
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| 关 键 词： | 非线性系统 定性分析 摄动法 |
ANALYSIS ON A KIND OF STRONG NONLINEAR SYSTEM |
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| Wang Zhendong.ANALYSIS ON A KIND OF STRONG NONLINEAR SYSTEM[J].chinese journal of theoretical and applied mechanics,1990,22(3):356-361. |
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| Authors: | Wang Zhendong |
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| Institution: | Wang Zhendong(Tianjin University)Cheng Youliang(Huabei Institute of Electric Power) |
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| 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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| Keywords: | stong nonlinear system qualitative anylysis perturbation method |
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