Dynamics of a galactic Hamiltonian system

Ernesto A. Lacomba, Jaume Llibre

Type: Article

Publication Date: 2012-07-01

Citations: 8

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

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.

Locations

Journal of Mathematical Physics - View
LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Científicas) - View - PDF

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Works Cited by This (11)

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+	Stable and Random Motions in Dynamical Systems: With Special Emphasis on Celestial Mechanics.	1973	Jürgen Moser
+	Lagrangian Submanifolds and Hamiltonian Systems	1973	Alan Weinstein
+	Integrability and non-integrability in Hamiltonian mechanics	1983	В. В. Козлов
+	On the number of isolating integrals in perturbed Hamiltonian systems with n>or=3 degrees of freedom	1994	E. Meletlidou S. Ichtiaroglou
+	A criterion for non-integrability based on Poincaré's theorem	1994	Efi Meletlidou S. Ichtiaroglou
+ PDF Chat	Periodic orbits and nonintegrability of generalized classical Yang–Mills Hamiltonian systems	2011	Lidia Jiménez–Lara Jaume Llibre
+ PDF Chat	Periodic orbits and non-integrability of Hénon–Heiles systems	2011	Jaume Llibre Lidia Jiménez–Lara
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