Cyclicity of a simple focus via the vanishing multiplicity of inverse integrating factors

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Title:	Cyclicity of a simple focus via the vanishing multiplicity of inverse integrating factors
Author:	García, Isaac; García, Isaac; Llibre, Jaume; Llibre, Jaume; Maza, Susanna; Maza, Susanna
Abstract:	First we provide new properties about the vanishing multiplicity of the inverse integrating factor of a planar analytic differential system at a focus. After we use this vanishing multiplicity for studying the cyclicity of some simple foci of several classes of planar analytic differential systems.
Abstract:	First we provide new properties about the vanishing multiplicity of the inverse integrating factor of a planar analytic differential system at a focus. After we use this vanishing multiplicity for studying the cyclicity of some simple foci of several classes of planar analytic differential systems.
Subject(s):	-Focus -Focus -Center -Center -Inverse integrating factor -Inverse integrating factor -Cyclicity of a focus -Cyclicity of a focus -Limit cycles -Limit cycles -Vanishing multiplicity -Vanishing multiplicity
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/150647