Periodic orbits for a class of galactic potentials

被引:10
|
作者
Alfaro, Felipe [1 ]
Llibre, Jaume [2 ]
Perez-Chavela, Ernesto [3 ]
机构
[1] UACM, Acad Matemat, Mexico City 09620, DF, Mexico
[2] Univ Autonoma Barcelona, Dept Matemat, E-08193 Barcelona, Catalonia, Spain
[3] UAM Iztapalapa, Dept Matemat, Mexico City 09340, DF, Mexico
关键词
Periodic orbit; Averaging theory; Hamiltonian system; CHAOS;
D O I
10.1007/s10509-012-1318-9
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
In this work, applying general results from averaging theory, we find periodic orbits for a class of Hamiltonian systems H whose potential models the motion of elliptic galaxies.
引用
收藏
页码:39 / 44
页数:6
相关论文
共 50 条
  • [21] Isolated Periodic Orbits and Stability in Separable Potentials
    E. Meletlidou
    S. Ichtiaroglou
    Celestial Mechanics and Dynamical Astronomy, 1998, 71 : 289 - 300
  • [22] Isolated periodic orbits and stability in separable potentials
    Meletlidou, E
    Ichtiaroglou, S
    CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY, 1998, 71 (04): : 289 - 300
  • [23] Bifurcations of periodic orbits in axisymmetric scalefree potentials
    Hunter, C
    Terzic, B
    Burns, AM
    Porchia, D
    Zink, C
    NONLINEAR DYNAMICS AND CHAOS IN ASTROPHYSICS: FESTSCHRIFT IN HONOR OF GEORGE CONTOPOULOS, 1998, 867 : 61 - 84
  • [24] Exact Periodic Orbits and Chaos in Polynomial Potentials
    N.D. Caranicolas
    Astrophysics and Space Science, 2000, 271 : 341 - 352
  • [25] Complex periodic orbits and tunneling in chaotic potentials
    Creagh, SC
    Whelan, ND
    PHYSICAL REVIEW LETTERS, 1996, 77 (25) : 4975 - 4979
  • [26] Homoclinic orbits to small periodic orbits for a class of reversible systems
    Lombardi, E
    PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 1996, 126 : 1035 - 1054
  • [27] PARABOLIC-TYPE ORBITS FOR ONE MODEL OF GALACTIC POTENTIALS
    TIMOSHKOVA, EI
    ASTRONOMICHESKII ZHURNAL, 1991, 68 (06): : 1315 - 1322
  • [28] Symmetric periodic orbits in the Hamiltonian Galactic-Tidal models
    Angelo Alberti
    Celestial Mechanics and Dynamical Astronomy, 2023, 135
  • [29] Symmetric periodic orbits in the Hamiltonian Galactic-Tidal models
    Alberti, Angelo
    CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY, 2023, 135 (03):
  • [30] PERIODIC-ORBITS IN A TWO-DIMENSIONAL GALACTIC POTENTIAL
    DAVOUST, E
    CELESTIAL MECHANICS, 1983, 31 (03): : 303 - 315