Periodic orbits of perturbed elliptic oscillators in 6D via averaging theory
Lembarki, Fatima Ezzahra (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)

Date:	2016
Abstract:	We provide sufficient conditions on the energy levels to guarantee the existence of periodic orbits for the perturbed elliptic oscillators in 6D using the averaging theory. We give also an analytical estimation of the shape of these periodic orbits parameterized by the energy. The Hamiltonian system here studied comes either from the analyze of the galactic dynamics, or from the motion of the atomic particles in physics.
Grants:	Ministerio de Educación y Ciencia MTM2013-40998-P Agència de Gestió d'Ajuts Universitaris i de Recerca 2014-SGR-568 European Commission 316338 European Commission 316339
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Averaging theory ; Galactic dynamics ; Periodic orbits ; Perturbed elliptic oscillators
Published in:	Astrophysics and Space Science. An International Journal of Astronomy, Astrophysics and Space Science, 2016, p. 361-340, ISSN 1572-946X

DOI: 10.1007/s10509-016-2930-x

Postprint 28 p, 723.4 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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