Dynamics of a galactic Hamiltonian system

被引：7

作者：

Lacomba, Ernesto A. ^{[2
]}

Llibre, Jaume ^{[1
]}

机构：

[1] Univ Autonoma Barcelona, Dept Matemat, E-08193 Barcelona, Catalonia, Spain

[2] Univ Autonoma Metropolitana Iztapalapa, Dept Matemat, Mexico City 09340, DF, Mexico

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2012年 / 53卷 / 07期

关键词：

PERIODIC-ORBITS; NONINTEGRABILITY;

D O I：

10.1063/1.4731476

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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. (C) 2012 American Institute of Physics. [http://dx.doi.org/10.1063/1.4731476]

引用

页数：9

共 50 条

[1] Dynamics aspects in a galactic type Hamiltonian
Vidal, Claudio
[J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2011, 12 (02) : 918 - 930
[2] ON THE HAMILTONIAN DYNAMICS AND GEOMETRY OF THE RABINOVICH SYSTEM
Tudoran, Razvan M.
Girban, Anania
[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2011, 15 (03): : 789 - 823
[3] Dynamics symmetries of Hamiltonian system on time scales
Peng, Keke
Luo, Yiping
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 2014, 55 (04)
[4] Evolutionary dynamics for bimatrix games: A Hamiltonian system?
Hofbauer, J
[J]. JOURNAL OF MATHEMATICAL BIOLOGY, 1996, 34 (5-6) : 675 - 688
[5] RELATIVISTIC FLUID-DYNAMICS AS A HAMILTONIAN SYSTEM
HOLM, DD
KUPERSHMIDT, BA
[J]. PHYSICS LETTERS A, 1984, 101 (01) : 23 - 26
[6] A system of galactic constants based on stellar dynamics
Ninkovic, S
[J]. UNSOLVED PROBLEMS OF THE MILKY WAY, 1996, (169): : 709 - 711
[7] On the analytic integrability of the cored galactic Hamiltonian
Llibre, Jaurne
Valls, Claudia
[J]. APPLIED MATHEMATICS LETTERS, 2014, 33 : 35 - 39
[8] Hamiltonian Normal Forms and Galactic Potentials
Pucacco, G.
[J]. CHAOS IN ASTRONOMY, CONFERENCE 2007, 2009, : 137 - 149
[9] Nose-Hoover dynamics of a nonintegrable Hamiltonian system
Tiwari, S
Ramaswamy, R
[J]. JOURNAL OF MOLECULAR STRUCTURE-THEOCHEM, 1996, 361 : 111 - 116
[10] ON THE DYNAMICS OF THE QUANTUM STATES SET FOR A SYSTEM WITH DEGENERATED HAMILTONIAN
Sakbaev, V. Zh.
[J]. VESTNIK SAMARSKOGO GOSUDARSTVENNOGO TEKHNICHESKOGO UNIVERSITETA-SERIYA-FIZIKO-MATEMATICHESKIYE NAUKI, 2011, (02): : 200 - 220

← 1 2 3 4 5 →