LIMIT CYCLES OF SOME Z3-EQUIVARIANT NEAR-HAMILTONIAN SYSTEMS OF DEGREES 3 AND 4

LIMIT CYCLES OF SOME Z3-EQUIVARIANT NEAR-HAMILTONIAN SYSTEMS OF DEGREES 3 AND 4

Hongyan Ma;Maoan Han;Christoph Lhotka

【期刊名称】《微分方程年刊：英文版》 【年(卷),期】2009(025)002

【摘要】This paper studies the number of limit cycles of some Z3-equivariant near-Hamiltonian systems of degrees 3 and 4, which arc a perturbation of a cubic Hamiltonian system. By the Melnikov function method, we obtain 5 and 6 limit cycles respectively. 【总页数】9页(170-178) 【关键词】

【作者】Hongyan Ma;Maoan Han;Christoph Lhotka

【作者单位】Dept. of Math., Shanghai Normal University, Shanghai 200234;Dept. of Math., Shanghai Normal University, Shanghai 200234;Dept. Of Astromony, Wien University, A-1180 Vienna, Austria 【正文语种】中文 【中图分类】O1 【相关文献】

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