Dynamics of a galactic Hamiltonian system

Ernesto A. Lacomba, Jaume Llibre

Research output: Contribution to journalArticleResearchpeer-review

5 Citations (Scopus)


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 languageEnglish
Article number072901
JournalJournal of Mathematical Physics
Issue number7
Publication statusPublished - 12 Jul 2012


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