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On the periodic orbits of perturbed Hooke Hamiltonian systems with three degrees of freedom
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Mello, Luis Fernando (Universidade Federal de Itajubá(Brazil). Instituto de Ciências Exatas)

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

DOI: 10.1016/j.geomphys.2011.12.017


Postprint
18 p, 353.0 KB

The record appears in these collections:
Research literature > UAB research groups literature > Research Centres and Groups (research output) > Experimental sciences > GSD (Dynamical systems)
Articles > Research articles
Articles > Published articles

 Record created 2016-05-06, last modified 2022-02-13



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