Periodic orbits for a class of galactic potentials

In this work, applying general results from averaging theory, we find periodic orbits for a class of Hamiltonian systems H whose potential models the motion of elliptic galaxies. Using the above periodic orbits on the energy level H = h we provide information about the non-integrability, in the sens...

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Detalles Bibliográficos
Autores: Alfaro Aguilar, Felipe, Llibre, Jaume|||0000-0002-9511-5999, Pérez-Chavela, Ernesto
Tipo de recurso: artículo
Fecha de publicación:2013
País:España
Institución:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:150649
Acceso en línea:https://ddd.uab.cat/record/150649
https://dx.doi.org/urn:doi:10.1007/s10509-012-1318-9
Access Level:acceso abierto
Palabra clave:Periodic orbit
Averaging theory
Hamiltonian system
Descripción
Sumario:In this work, applying general results from averaging theory, we find periodic orbits for a class of Hamiltonian systems H whose potential models the motion of elliptic galaxies. Using the above periodic orbits on the energy level H = h we provide information about the non-integrability, in the sense of Liouville-Arnold, of the respective Hamiltonian system generated by H.