On the limit cycles bifurcating from an ellipse of a quadratic center
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Schlomiuk, Dana (Université de Montréal(Canada). Département de Mathématiques et Statistique)

Date:	2015
Abstract:	Consider the class of all quadratic centers whose period annulus has a periodic solution whose phase curve is an ellipse E. The period annulus of any of such quadratic centers has cyclicity at least one, and this one is due to a family of algebraic limit cycles(formed by ellipses) bifurcating from the ellipse E. quadratic systems, quadratic vector fields, quadratic center, periodic orbit, limit cycle, bifurcation from center, cyclicity of the period annulus, inverse integrating factor.
Grants:	Ministerio de Ciencia e Innovación MTM2008-03437 Agència de Gestió d'Ajuts Universitaris i de Recerca 2009/SGR-410
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Document:	Article
Subject:	Quadratic systems ; Quadratic vector fields ; Quadratic center ; Periodic orbit ; Limit cycle ; Bifurcation from center ; Cyclicity of the period annulus ; Inverse integrating factor
Published in:	Discrete and continuous dynamical systems. Series A, Vol. 35 Núm. 3 (2015), p. 1091-1102, ISSN 1553-5231

Postprint 14 p, 492.6 KB

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