Polynomial vector fields in R^3 with infinitely many limit cycles

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Title:	Polynomial vector fields in R^3 with infinitely many limit cycles
Author:	Ferragut Amengual, Antoni Manel; Llibre, Jaume; Pantazi, Chara
Abstract:	We provide a method to obtain polynomial vector fields in R3 having infinitely many limit cycles starting from polynomial vector fields in R2 having a period annulus. We give two examples of polynomial vector fields in R3 having infinitely many limit cycles, one of them of degree 2 and the other one of degree 12. The main tools are the Melnikov integral and the Hamiltonian structure.
Subject(s):	-Limit cycle -Melnikov integral
Rights:	open access Tots els drets reservats. https://rightsstatements.org/vocab/InC/1.0/
Document type:	Article
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Uri:	https://ddd.uab.cat/record/150665