Periodic orbits of the generalized Friedmann-Robertson-Walker Hamiltonian systems
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Makhlouf, Ammar (University of Annaba(Algeria). Department of Mathematics)

Additional title:	Generalized Friedmann-Robertson-Walker Hamiltonian systems : periodic orbits and non-integrability
Date:	2013
Abstract:	We provide sufficient conditions for the existence of periodic solutions of the second order Hamiltonian system −x'' − λx = εV 'x (t, x), where ε is a small parameter, x ∈ R and V (t, x) is 2π-periodic in t. Moreover we provide two applications.
Grants:	Ministerio de Ciencia e Innovación MTM2008-03437 Agència de Gestió d'Ajuts Universitaris i de Recerca 2009/SGR-410 European Commission 316338
Note:	El títol de la versió pre-print de l'article és: Generalized Friedmann-Robertson-Walker Hamiltonian systems: periodic orbits and non-integrability
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Periodic solution ; Second order Hamiltonian system ; Averaging theory
Published in:	Astrophysics and Space Science. An International Journal of Astronomy, Astrophysics and Space Science, Vol. 344 Núm. 1 (2013) , p. 45-50, ISSN 1572-946X

DOI: 10.1007/s10509-012-1314-0

Postprint 10 p, 710.0 KB

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Research literature > UAB research groups literature > Research Centres and Groups (research output) > Experimental sciences > GSD (Dynamical systems)
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