| KBM方法的一点改进 |
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| 引用本文： | 王锦华.KBM方法的一点改进[J].南京理工大学学报(自然科学版),1988(2). |
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| 作者姓名： | 王锦华 |
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| 作者单位： | 华东工学院应用数学系 |
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| 摘 要： | 本文在奇异摄动理论中的KBM方法的基础上,利用振幅a的幂级数展开,求解了有较大阻尼(阻尼系数为0(1)量级)的非线性振动问题(包抱自治系统与非自治系统),改进了KBM方法,作为例子,利用改进的KBM方法求解高次非线性振动.
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| 关 键 词： | 奇摄动 |
An Improvement on KBM Method |
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| Wang Jinhua.An Improvement on KBM Method[J].Journal of Nanjing University of Science and Technology(Nature Science),1988(2). |
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| Authors: | Wang Jinhua |
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| Institution: | Wang Jinhua |
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| Abstract: | In terms of thr KBM method in the singular pertur-bations, this paper considered autonomous and ponautonomus nonlinearoscillating problems with larger damping(the damping coefficient is ofO(i)) by expansion in power series of amplitude a and improved the KBMmethod. As an example high--order nonlinear oscillation is worked outby the modified KBM method. |
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| Keywords: | Singular Perturbation |
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