On the analytic integrability of the cored galactic Hamiltonian

被引:4
作者
Llibre, Jaurne [1 ]
Valls, Claudia [2 ]
机构
[1] Univ Autonoma Barcelona, Dept Matemat, E-08193 Barcelona, Catalonia, Spain
[2] Univ Tecn Lisboa, Inst Super Tecn, Dept Matemat, P-1049001 Lisbon, Portugal
关键词
Analytic first integrals; Cored galactic Hamiltonian; PERIODIC-ORBITS; 1ST INTEGRALS; POTENTIALS; SYSTEMS;
D O I
10.1016/j.aml.2014.03.001
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We provide a complete characterization of the analytic first integrals of the cored galactic Hamiltonian. (C) 2014 Elsevier Ltd. All rights reserved.
引用
收藏
页码:35 / 39
页数:5
相关论文
共 17 条
  • [1] [Anonymous], 1988, MANIFOLDS TENSOR ANA, DOI DOI 10.1007/978-1-4612-1029-0
  • [2] On the orbit structure of the logarithmic potential
    Belmonte, C.
    Boccaletti, D.
    Pucacco, G.
    [J]. ASTROPHYSICAL JOURNAL, 2007, 669 (01) : 202 - 217
  • [3] A note on Liouvillian first integrals and invariant algebraic curves
    Gine, Jaume
    Grau, Maite
    Llibre, Jaume
    [J]. APPLIED MATHEMATICS LETTERS, 2013, 26 (02) : 285 - 289
  • [4] The cored and logarithm galactic potentials: Periodic orbits and integrability
    Jimenez-Lara, Lidia
    Llibre, Jaume
    [J]. JOURNAL OF MATHEMATICAL PHYSICS, 2012, 53 (04)
  • [5] Dynamics of a galactic Hamiltonian system
    Lacomba, Ernesto A.
    Llibre, Jaume
    [J]. JOURNAL OF MATHEMATICAL PHYSICS, 2012, 53 (07)
  • [6] Polynomial first integrals for quasi-homogeneous polynomial differential systems
    Llibre, J
    Zhang, X
    [J]. NONLINEARITY, 2002, 15 (04) : 1269 - 1280
  • [7] Llibre J., 2012, J MATH PHYS, V53
  • [8] Llibre J., DARBOUX INT IN PRESS
  • [9] Analytic integrability of Hamiltonian systems with a homogeneous polynomial potential of degree 4
    Llibre, Jaume
    Mahdi, Adam
    Valls, Claudia
    [J]. JOURNAL OF MATHEMATICAL PHYSICS, 2011, 52 (01)
  • [10] Darboux theory of integrability in Cn taking into account the multiplicity
    Llibre, Jaume
    Zhang, Xiang
    [J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2009, 246 (02) : 541 - 551