Limit cycles for a class of second order differential equations
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Pérez-Chavela, Ernesto (UAM-Iztapalapa(México). Departamento de Matemáticas)

Date:	2011
Abstract:	We study the limit cycles of a wide class of second order differential equations, which can be seen as a particular perturbation of the harmonic oscillator. In particular, by choosing adequately the perturbed function we show, using the averaging theory, that it is possible to obtain as many limit cycles as we want.
Grants:	Ministerio de Economía y Competitividad MTM2008-03437 Agència de Gestió d'Ajuts Universitaris i de Recerca 2009/SGR-410
Note:	Agraïments: The second author is partially supported by a CONACYT México, grant No. 128790.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Limit cycle ; Second order differential equation ; Averaging theory
Published in:	Physics Letters. A, Vol. 375 (2011) , p. 1080-1083, ISSN 0375-9601

DOI: 10.1016/j.physleta.2011.01.011

Postprint 8 p, 371.9 KB

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Research literature > UAB research groups literature > Research Centres and Groups (research output) > Experimental sciences > GSD (Dynamical systems)
Articles > Research articles
Articles > Published articles