New families of periodic orbits for a galactic potential
de Bustos, Maria T. (Universidad de Salamanca. Departamento de Matemáticas)
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Guirao, Juan Luis Garcia (Universidad Politécnica de Cartagena. Departamento de Matemática Aplicada y Estadística)
Vera, Juan A. (Universidad Politécnica de Cartagena. Centro Universitario de la Defensa)

Date:	2016
Abstract:	The Hamiltonian system associated to the Hamiltonian \[ H=(P_1^2 P_2^2 P_3^2)/2 (Q_1^2 Q_2^2 Q_3^2)/2 (Q_1^4 Q_2^4 Q_3^4 a(Q_1^2Q_2^2 Q_1^2Q_3^2 Q_2^2Q_3^2)), \] where and a are parameters and is small, describes the local motion in the central area of a galaxy. Its dynamics have been study by many authors. Here we find analytically new families of periodic orbits of this Hamiltonian system.
Grants:	Ministerio de Ciencia e Innovación MTM2011-22587 Ministerio de Economía y Competitividad MTM2014-51891-P Ministerio de Economía y Competitividad MTM2013-40998-P Agència de Gestió d'Ajuts Universitaris i de Recerca 2014/SGR-568 European Commission 316338 European Commission 316339
Note:	Agraïments: Fundación Séneca de la Región de Murcia grant number 19219/PI/14.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Averaging theory ; Family of periodic orbits ; Galactic potential
Published in:	Chaos, solitons and fractals, Vol. 82 (2016) , p. 97-102, ISSN 0960-0779

DOI: 10.1016/j.chaos.2015.11.003

Postprint 12 p, 1.7 MB

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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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