On the birth of minimal sets for perturbed reversible vector fields
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Martins, Ricardo Miranda (Universidade Estadual de Campina (Brasil). Departamento de Matematica)
Teixeira, Marco Antonio (Universidade Estadual de Campina (Brasil). Departamento de Matematica)

Date:	2011
Abstract:	The results in this paper fit into a program to study the existence of periodic orbits, invariant cylinders and tori filled with periodic orbits in perturbed reversible systems. Here we focus on bifurcations of one-parameter families of periodic orbits for reversible vector fields in R4. The main used tools are normal forms theory, Lyapunov-Schmidt method and averaging theory.
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 FAPESP-BRAZIL grant 2007/05215-4. The third author is partially supported by a FAPESP-BRAZIL grant 2007/06896-5. All the authors are also supported by the joint project CAPES-MECD grant PHB-2009-0025-P
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Limit cycle ; Periodic orbit ; Isochronous center ; Invariant torus ; Averaging method ; Reversible system
Published in:	Discrete and continuous dynamical systems. Series A, Vol. 31 Núm. 3 (2011) , p. 763-777, ISSN 1553-5231

DOI: 10.3934/dcds.2011.31.763

Postprint 15 p, 341.9 KB

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