TY - JOUR
T1 - Dynamics of a galactic Hamiltonian system
AU - Lacomba, Ernesto A.
AU - Llibre, Jaume
PY - 2012/7/12
Y1 - 2012/7/12
N2 - 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.
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.
UR - https://ddd.uab.cat/record/150495
U2 - https://doi.org/10.1063/1.4731476
DO - https://doi.org/10.1063/1.4731476
M3 - Article
VL - 53
JO - Journal of Mathematical Physics
JF - Journal of Mathematical Physics
SN - 0022-2488
IS - 7
M1 - 072901
ER -