On the limit cycles of planar polynomial system with non-rational first integral via averaging method at any order

Shimin Li, Yulin Zhao and Zhaohong Sun

Applied Mathematics and Computation, 2015, vol. 256, issue C, 876-880

Abstract: In this paper, we consider a class of cubic planar polynomial differential system with non-rational first integral. Using the averaging method at any order, we bound the maximum number of limit cycles which bifurcate from the periodic annulus of the origin when we perturb them inside the class of all polynomial systems of degree n.

Keywords: Limit cycle; Non-rational first integral; Averaging method (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:256:y:2015:i:c:p:876-880

DOI: 10.1016/j.amc.2015.01.089

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