First kind symmetric periodic solutions and their stability for the Kepler problem and anisotropic Kepler problem plus generalized anisotropic perturbation

被引：0
|
作者：
Alberti, Angelo [1 ]
Vidal, Claudio [2 ]
机构：
[1] Departamento de Matemática, Universidade Federal de Sergipe, Cidade Universitária Prof. José Aloísio de Campos, Jardim Rosa Elze, São Cristovão-SE, Brazil
[2] Grupo de Investigación en Sistemas Dinámicos y Aplicaciones (GISDA), Departamento de Matemática, Facultad de Ciencias, Universidad del Bío-Bío, Casilla 5-C, Concepción, VIII-Región, Chile
来源：
Nonlinear Analysis: Real World Applications | 2021年 / 58卷
关键词：
Astrophysics - Perturbation techniques - Orbits;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
引用
收藏
相关论文
共 50 条
  • [11] Periodic orbit theory revisited in the anisotropic Kepler problem
    Kubo, Kazuhiro
    Shimada, Tokuzo
    PROGRESS OF THEORETICAL AND EXPERIMENTAL PHYSICS, 2014, 2014 (02):
  • [12] Periodic Orbits of the Anisotropic Kepler Problem with Quasihomogeneous Potentials
    Lopez, Miguel A.
    Martinez, Raquel
    Vera, Juan A.
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2015, 25 (14):
  • [13] Variational proof of the existence of periodic orbits in the anisotropic Kepler problem
    Shota Iguchi
    Mitsuru Shibayama
    Celestial Mechanics and Dynamical Astronomy, 2023, 135
  • [14] Variational proof of the existence of periodic orbits in the anisotropic Kepler problem
    Iguchi, Shota
    Shibayama, Mitsuru
    CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY, 2023, 135 (03):
  • [15] COLLISION ORBITS IN ANISOTROPIC KEPLER PROBLEM
    DEVANEY, RL
    INVENTIONES MATHEMATICAE, 1978, 45 (03) : 221 - 251
  • [16] ANISOTROPIC KEPLER PROBLEM IN 2 DIMENSIONS
    GUTZWILLER, MC
    JOURNAL OF MATHEMATICAL PHYSICS, 1973, 14 (01) : 139 - 152
  • [17] Orbit systematics in anisotropic Kepler problem
    Kubo, Kazuhiro
    Shimada, Tokuzo
    ARTIFICIAL LIFE AND ROBOTICS, 2008, 13 (01) : 218 - 222
  • [18] MULTIFRACTAL MEASURES AND STABILITY ISLANDS IN THE ANISOTROPIC KEPLER-PROBLEM
    GUTZWILLER, MC
    PHYSICA D, 1989, 38 (1-3): : 160 - 171
  • [19] Anisotropic Kepler problem in a non-rotationally-symmetric Eaton lens
    Hou, Tao
    Chen, Huanyang
    PHYSICAL REVIEW A, 2022, 105 (04)
  • [20] BERNOULLI SEQUENCES AND TRAJECTORIES IN ANISOTROPIC KEPLER PROBLEM
    GUTZWILLER, MC
    JOURNAL OF MATHEMATICAL PHYSICS, 1977, 18 (04) : 806 - 823
12345