Using Melnikov functions of any order for studying limit cycles

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• 作者：Gheorghe Tigan ^{gheorghe.tigan@upt.ro}
• 关键词：Limit cycles ; Hamiltonian systems ; Melnikov functions
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：2017
• 出版时间：1 April 2017
• 年：2017
• 卷：448
• 期：1
• 页码：409-420
• 全文大小：284 K
• 卷排序：448

文摘

In this work we study a class of planar Hamiltonian systems perturbed with general quadratic polynomials in order to identify the number of limit cycles. Employing Melnikov functions of any order, we show that the class of systems can have at most three limit cycles and the limit is reached.