Some Bifurcation Analysis in a Family of Nonsmooth Liénard Systems
Some Bifurcation Analysis in a Family of Nonsmooth Liénard Systems
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DOI：
10.1142/s0218127415500558
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发表时间：
2015-05
期刊：
影响因子：
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通讯作者：
Yuanyuan Liu;Maoan Han;V. Romanovski
中科院分区：
文献类型：
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作者：
Yuanyuan Liu;Maoan Han;V. Romanovski
本文考虑一类分段光滑Lienard系统。将未扰动系统分为三类，研究了扰动下极限环的分支。通过研究一阶Melnikov函数的展开式，给出了同宿分支极限环个数的一些新结果。
In this paper, we consider a class of piecewise smooth Lienard systems. We classify the unperturbed system into three types and study the bifurcation of limit cycles under perturbations. By studying the expansions of the first order Melnikov function, we give some new results on the number of limit cycles in homoclinic bifurcations.