On the periodic solutions of perturbed 4D non-resonant systems
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Novaes, Douglas D. (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Teixeira, Marco Antonio (Universidade Estadual de Campinas(Brazil). Departamento de Matemática)

Date:	2015
Abstract:	We provide sufficient conditions for the existence of periodic solutions of a 4D non-resonant system perturbed by smooth or non-smooth functions. We apply these results to study the small amplitude periodic solutions of the non-linear planar double pendulum perturbed by smooth or non-smooth function.
Grants:	Ministerio de Economía y Competitividad MTM2008-03437 Agència de Gestió d'Ajuts Universitaris i de Recerca 2009/SGR-410 European Commission 318999 European Commission 316338
Note:	Agraïments: The second author is partially supported by a FAPESP-BRAZIL grant 2012/10231-7. The third author is partially supported by a FAPESP-BRAZIL grant 2007/06896-5. The first and third authors are also supported by the joint project CAPES-MECD grant PHB-2009-0025-PC.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Averaging theory ; Double pendulum ; Non-resonant systems ; Non-smooth dynamical systems ; Periodic solution
Published in:	São Paulo Journal of Mathematical Sciences, Vol. 9 (2015) , p. 229-250, ISSN 2316-9028

DOI: 10.1007/s40863-015-0017-1

Postprint 19 p, 457.7 KB

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