A system of degree four with an invariant triangle and at least three small amplitude limit cycles
Zhenhai Liu, Guangxi University for Nationalities, Nanning, Guangxi, P. R. China. E. J. Qualitative Theory of Diff. Equ., No. 69. (2010), pp. 1-7.
E. Sáez, Universidad Tecnica Federico Santa Maria, Valparaiso, Chile.
I. Szántó, Universidad Tecnica Federico Santa Maria, Valparaiso, Chile.
| Communicated by T. Krisztin. | Received on 2009-10-29 Appeared on 2010-11-18 |
Abstract: 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 region to be a center.
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