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The integrability of the \(n\)-center problem at high energies

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Publication:1691603
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zbMath1378.70019MaRDI QIDQ1691603

Andreas Knauf, Iskander A. Taimanov

Publication date: 24 January 2018

Published in: Doklady Mathematics (Search for Journal in Brave)



Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Celestial mechanics (70F15) Obstructions to integrability for finite-dimensional Hamiltonian and Lagrangian systems (nonintegrability criteria) (37J30)


Related Items (4)

Symbolic dynamics for the anisotropic \(N\)-centre problem at negative energies ⋮ Chaotic dynamics in refraction galactic billiards ⋮ Coulomb dynamics of three equal negative charges in field of fixed two equal positive charges ⋮ Variational construction for heteroclinic orbits of the \(N\)-center problem




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