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12 p, 632.5 KB Periodic solutions of a Galactic potential / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Pasca, Daniel (University of Oradea(Romania). Department of Mathematics and Informatics) ; Valls, Clàudia 1973- (Universidade Técnica de Lisboa. Departamento de Matemática)
We study analytically the periodic solutions of a Hamiltonian in R^6 given by the kinetic energy plus a galactic potential, using averaging theory of first order. The model perturbs a harmonic oscillator, and has been extensively used in order to describe local motion in galaxies near an equilibrium point.
We study analytically the periodic solutions of a Hamiltonian in R6 given by the kinetic energy plus a galactic potential, using averaging theory of first order. The model perturbs a harmonic oscillator, and has been extensively used in order to describe local motion in galaxies near an equilibrium point.

2014 - 10.1016/j.chaos.2014.02.005
Chaos, solitons and fractals, Vol. 61 (2014) , p. 38-43  

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