| 基于添项技术的修正L-P摄动法 |
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| 引用本文： | 潘国峰,高福顺.基于添项技术的修正L-P摄动法[J].吉林林学院学报,2011(6):647-650. |
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| 作者姓名： | 潘国峰 高福顺 |
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| 作者单位： | [1]长春市城乡规划设计研究院,吉林长春130021 [2]北华大学数学学院,吉林吉林132033 |
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| 摘 要： | 提出两种基于添项技术的修正Lindstedt-Poincaré（L-P）方法,与已有添加线性项方法进行比较可知：对于奇的强非线性振动系统,新提出的添项技术能够建立更高精度的解析逼近周期.数值例子验证了结论的正确性.
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| 关 键 词： | 摄动法 奇非线性振动系统 添项技术 |
A Modified L-P Perturbation Method Based on Adding Term Technique |
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| Authors: | PAN Guo-feng GAO Fu-shun |
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| Institution: | 1.Changchun Institute of Urban Planning ＆ Design,Changchun 130021,China; 2.Mathematics College of Beihua University,Jilin 132033,China) |
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| Abstract: | Two modified Lindstedt-Poincaré（L-P） perturbation method based on adding term technique are presented firstly,and then the comparison between them are completed.For the odd strongly nonlinear oscillation systems,the new method is better than others.The numerical example confirms that the conclusion presented in this paper is corrected. |
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| Keywords: | perturbation methods odd nonlinear oscillation systems adding term technique |
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