Home > Articles > Published articles > On the periodic solutions of perturbed 4D non-resonant systems |
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 |
Postprint 19 p, 457.7 KB |