| 软弹簧型Duffing方程在摄动下分支出的极限环 |
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| 引用本文： | 程福德.软弹簧型Duffing方程在摄动下分支出的极限环[J].应用数学和力学,1998,19(2):121-125. |
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| 作者姓名： | 程福德 |
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| 作者单位： | 湖北师范学院数学系, 湖北黄石 435002 |
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| 摘 要： | 在这篇文章中,作者用Melnikov函数方法分析了软弹簧型Duffing方程1]在摄动下异宿轨道破裂后稳定流形与不稳定流形的相对位置,给出了方程在不同摄动下分支出极限环的条件与极限环的位置.
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| 关 键 词： | 极限环 异宿轨道 Melnikov函数 |
| 收稿时间： | 1996-04-29 |
Limit Circles Bifurcated from a Soft Spring Duffing Equation under Perturbation |
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| Cheng Fude.Limit Circles Bifurcated from a Soft Spring Duffing Equation under Perturbation[J].Applied Mathematics and Mechanics,1998,19(2):121-125. |
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| Authors: | Cheng Fude |
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| Institution: | Department of Mathematics, Hubei Normal University, Huangshi 435002, P. R. China |
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| Abstract: | In this paper,the Melnikov function method has been used to analyse the distance between stable manifold and unstable manifold of the soft spring Duffing equation after its heteroclinic orbits rupture as the result of a small perturbation.The conditions that limit circles are bifurcated are given,and then their stability and location is determined. |
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| Keywords: | limit circle heteroclinic orbit Melnikov function |
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