Quadratic perturbations of a quadratic reversible Lotka-Volterra system
Li, Chengzhi (Peking University. School of Mathematical Sciences (China))
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)

Date:	2010
Abstract:	We prove that perturbing the two periodic annuli of the quadratic polynomial reversible Lotka-Volterra differential system ̇x = -y + x2 - y2, ẏ = x(1 + 2y), inside the class of all quadratic polynomial differential systems we can obtain the following configurations of limit cycles (0,0), (1,0), (2,0), (1,1) and (1,2).
Grants:	Ministerio de Ciencia y Tecnología MTM2005-06098-C02-01 Agència de Gestió d'Ajuts Universitaris i de Recerca 2005/SGR-00550
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Quadratic vector field ; Limit cycles ; Isochronous center ; Averaging theory
Published in:	Qualitative theory of dynamical systems, Vol. 9, Issue 1-2 (November 2010) , p. 235-249, ISSN 1662-3592

Podeu consultar la versió original dels autors a: https://ddd.uab.cat/record/44208
DOI: 10.1007/s12346-010-0026-5

Postprint 13 p, 273.4 KB

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