Limit cycle bifurcations near a 2-polycycle or double 2-polycycle of planar systems

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• 作者：Junmin Yang ; Yanqin Xiong ; Maoan Han
• 关键词：34C05
• 刊名：Nonlinear Analysis
• 出版年：January, 2014
• 年：2014
• 卷：95
• 期：Complete
• 页码：756-773
• 全文大小：590 K

文摘

In this paper, we study the bifurcation problem of limit cycles for a near-Hamiltonian system near a 2-polycycle or double 2-polycycle. We obtain new results on the number of limit cycles by using the method of stability-changing of a homoclinic loop. This method also provides a new way to find alien limit cycles. Especially, we found some alien limit cycles of new type.