Home > Articles > Published articles > On the periodic orbits of perturbed Hooke Hamiltonian systems with three degrees of freedom |
Date: | 2012 |
Abstract: | We study periodic orbits of Hamiltonian differential systems with three degrees of freedom using the averaging theory. We have chosen the classical integrable Hamiltonian system with the Hooke potential and we study periodic orbits which bifurcate from the periodic orbits of the integrable system perturbed with a non-autonomous potential. |
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 CNPq grant 304926/2009-4 and by FAPEMIG grant PPM-00204-11. The 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: | Hamiltonian system ; Hooke potential ; Periodic orbit ; Averaging theory |
Published in: | Journal of geometry and physics, Vol. 62 (2012) , p. 1054-1063, ISSN 0393-0440 |
Postprint 18 p, 353.0 KB |