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Pàgina inicial > Articles > Articles publicats > Periodic orbits of perturbed elliptic oscillators in 6D via averaging theory |
Data: | 2016 |
Resum: | 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. |
Ajuts: | 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 |
Drets: | Tots els drets reservats. |
Llengua: | Anglès |
Document: | Article ; recerca ; Versió acceptada per publicar |
Matèria: | Averaging theory ; Galactic dynamics ; Periodic orbits ; Perturbed elliptic oscillators |
Publicat a: | Astrophysics and Space Science. An International Journal of Astronomy, Astrophysics and Space Science, 2016, p. 361-340, ISSN 1572-946X |
Postprint 28 p, 723.4 KB |