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Pàgina inicial > Articles > Articles publicats > On the birth of minimal sets for perturbed reversible vector fields |
Data: | 2011 |
Resum: | 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. |
Ajuts: | Ministerio de Economía y Competitividad MTM2008-03437 Agència de Gestió d'Ajuts Universitaris i de Recerca 2009/SGR-410 |
Nota: | 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 |
Drets: | Tots els drets reservats. |
Llengua: | Anglès |
Document: | Article ; recerca ; Versió acceptada per publicar |
Matèria: | Limit cycle ; Periodic orbit ; Isochronous center ; Invariant torus ; Averaging method ; Reversible system |
Publicat a: | Discrete and continuous dynamical systems. Series A, Vol. 31 Núm. 3 (2011) , p. 763-777, ISSN 1553-5231 |
Postprint 15 p, 341.9 KB |