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On the stability of periodic N-body motions with the symmetry of Platonic polyhedra

  • Published:2018-10-05 Issue:11 Volume:31 Page:4935-4954
  • ISSN:0951-7715
  • Container-title:Nonlinearity
  • language:
  • Short-container-title:Nonlinearity

Author:

Fenucci M,Gronchi G F

Funder

GNFM-INdAM

University of Pisa, grant PRA-2017 ‘Sistemi dinamici in analisi, geometria, logica e meccanica celeste’

Publisher

IOP Publishing

Subject

Applied Mathematics,General Physics and Astronomy,Mathematical Physics,Statistical and Nonlinear Physics

Cited by 5 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. Finding extremals of Lagrangian actions;Communications in Nonlinear Science and Numerical Simulation;2023-01

2. Local minimality properties of circular motions in $$1/r^\alpha $$ potentials and of the figure-eight solution of the 3-body problem;Partial Differential Equations and Applications;2022-01-18

3. Symmetric Constellations of Satellites Moving Around a Central Body of Large Mass;Journal of Dynamics and Differential Equations;2021-10-08

4. CAPD::DynSys: A flexible C++ toolbox for rigorous numerical analysis of dynamical systems;Communications in Nonlinear Science and Numerical Simulation;2021-10

5. Braids with the symmetries of Platonic polyhedra in the Coulomb (N+1)-body problem;Communications in Nonlinear Science and Numerical Simulation;2020-04
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