Dynamics of a galactic Hamiltonian system

Ernesto A. Lacomba; Jaume Llibre

doi:https://doi.org/10.1063/1.4731476

Dynamics of a galactic Hamiltonian system

Ernesto A. Lacomba, Jaume Llibre

Department of Mathematics

Research output: Contribution to journal › Article › Research › peer-review

4 Citations (Scopus)

Abstract

We study an even polynomial potential which appears in the study of the galactic dynamics. We prove the existence of four families of periodic orbits in every positive energy level, and we compute an analytic approximation of them. Using such periodic orbits we provide information about the non-integrability of this Hamiltonian system. © 2012 American Institute of Physics.

Original language	English
Article number	072901
Journal	Journal of Mathematical Physics
Volume	53
Issue number	7
DOIs	https://doi.org/10.1063/1.4731476
Publication status	Published - 12 Jul 2012

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AB - We study an even polynomial potential which appears in the study of the galactic dynamics. We prove the existence of four families of periodic orbits in every positive energy level, and we compute an analytic approximation of them. Using such periodic orbits we provide information about the non-integrability of this Hamiltonian system. © 2012 American Institute of Physics.

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