Uniqueness of Limit Cycles for a Class of Cubic Systems with Two Invariant Straight Lines

Xiangdong Xie, Fengde Chen and Qingyi Zhan

Discrete Dynamics in Nature and Society, 2010, vol. 2010, 1-17

Abstract:

A class of cubic systems with two invariant straight lines is studied. It is obtained that the focal quantities of are, ; if , then ; if , then ; if , then is a center, and it has been proved that the above mentioned cubic system has at most one limit cycle surrounding weak focal . This paper also aims to solve the remaining issues in the work of Zheng and Xie (2009).

Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:737068

DOI: 10.1155/2010/737068

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