Non-integrability of the spacial n-center problem-Reference-Cited by-同舟云学术

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Non-integrability of the spacial n-center problem

Published:2018-09 Issue:6 Volume:265 Page:2461-2469
ISSN:0022-0396
Container-title:Journal of Differential Equations
language:en
Short-container-title:Journal of Differential Equations

Author:

Shibayama Mitsuru

Funder

Japan Society for the Promotion of Science

Publisher

Elsevier BV

Subject

Analysis,Applied Mathematics

Reference18 articles.

1. Mathematical Methods of Classical Mechanics;Arnol'd,1989

2. Uber die integrale des vielkorper-problems;Bruns;Acta Math.,1887

3. New Methods of Celestial Mechanics, vol. 1;Poincaré,1993

4. Sur le probleme de la rotation d'un corps solide autour d'un point fixe;Kovalevski;Acta Math.,1889

5. Bifurcation of solutions and the nonexistence of first integrals in Hamiltonian mechanics. I;Ziglin;Funktsional. Anal. i Prilozhen.,1982

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1. Dynamics and non-integrability of the double spring pendulum;Journal of Sound and Vibration;2024-10

2. Approximation for attraction field of almost dynamically symmetrical body by three almost collinear balls;Acta Astronautica;2024-03

3. A new model of variable-length coupled pendulums: from hyperchaos to superintegrability;Nonlinear Dynamics;2024-01-31

4. Chaos and integrability of relativistic homogeneous potentials in curved space;Nonlinear Dynamics;2024-01-26

5. Nonintegrability of Dynamical Systems Near Degenerate Equilibria;Communications in Mathematical Physics;2022-11-27

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