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arXiv math/0409594math.CAmath.DS
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Lienard方程的周期解

On Periodic Solutions Of Lienard Equations

Ali Taghavi

摘要:

证明了四次Lienard方程的极限环个数的一致上界可以等于2。进一步建议将平面Lienard方程嵌入到高维空间中,并提出相应Hamilton算子的完全可积性问题。实际上这个问题建议用KAM方法看极限环问题

英文摘要:

We Prove That The Uniform Upper Bound for the Number Of Limit Cycles Of The Lienard Equation of Degree 4 Can be equals to 2. Further We Suggest to Embedding Planar Lienard Equations In Higher Dimension and Present question of completly integrabiolity of Corresponding Hamiltonians. Actually this Question Suggest To Look at to Limit Cycles Problems with KAM methods

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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