Non-integrability of the Anisotropic Stormer Problem and the Isosceles Three-Body Problem-Reference-Cited by-同舟云学术

Non-integrability of the Anisotropic Stormer Problem and the Isosceles Three-Body Problem

Published:2009-02 Issue:3 Volume:238 Page:273-289
ISSN:0167-2789
Container-title:Physica D: Nonlinear Phenomena
language:en
Short-container-title:Physica D: Nonlinear Phenomena

Author:

Nomikos D.G.,Papageorgiou V.G.

Publisher

Elsevier BV

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

Reference34 articles.

1. Handbook of Mathematical Functions;Abramowitz,1972

2. On the Ziglin–Yoshida analysis for some classes of homogeneous Hamiltonian systems;Almeida;Rev. Bras. Fis.,1998

3. Non-integrability of the anisotropic Stormer problem with angular momentum;Almeida;Physica D,2004

4. D. Boucher, Sur les équations différentiells linéaires paramétrées, une application aux systèmes hamiltoniens, Thèse de l’Université de Limoges, LACO, octobre 2000

5. Application of J.J. Morales and J.P. Ramis theorem to test the non complete integrability of the planar three-body problem;Boucher;IRMA Lect. Math. Theor. Phys,2003

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Semianalytical findings for the dynamics of the charged particle in the Störmer problem;Mathematical Methods in the Applied Sciences;2023-08-24

2. Integrability and Non Integrability of Some n Body Problems;Recent Advances in Celestial and Space Mechanics;2016

3. Families of symmetric relative periodic orbits originating from the circular Euler solution in the isosceles three-body problem;Celestial Mechanics and Dynamical Astronomy;2011-04-10