The number of small-amplitude limit cycles of Liénard equations

The number of small-amplitude limit cycles of Liénard equations
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DOI:
10.1017/s0305004100061636
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发表时间:
1984-03
影响因子:
0.8
通讯作者:
T. Blows;N. Lloyd
T. Blows;N. Lloyd
中科院分区:
数学2区
文献类型:
--
作者:
T. Blows;N. Lloyd

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我们考虑Liénard类型的二阶微分方程:这类方程已经得到了非常广泛的研究,并且在应用中经常出现。关于周期解的存在性和唯一性有大量的文献:Staude[6]的论文是一个全面的综述。我们感兴趣的是这类方程的周期解的数目。
We consider second order differential equations of Liénard type: Such equations have been very widely studied and arise frequently in applications. There is an extensive literature relating to the existence and uniqueness of periodic solutions: the paper of Staude[6] is a comprehensive survey. Our interest is in the number of periodic solutions of such equations.