A system of degree four with an invariant triangle and at least three small amplitude limit cycles

We show the existence of a polynomial system of degree four having three real invariant straight lines forming a triangle with at least three small amplitude limit cycles in the interior. Also, we obtain the necessary and sufficient conditions for the critical point at the interior of the bounded...

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Bibliographic Details
Main Authors: Zhenhai Liu, E. Sáez, I. Szántó
Format: Article
Language:English
Published: University of Szeged 2010-11-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=529