Topologically distinct collision-free periodic solutions for the \({N}\)-center problem

DOI10.1007/s00205-016-1049-0zbMath1359.35189OpenAlexW2533867979WikidataQ59480860 ScholiaQ59480860MaRDI QIDQ512218

Roberto Castelli

Publication date: 24 February 2017

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00205-016-1049-0

zbMATH Keywords

\({N}\)-center problemcollision-free periodic solutionscollision-reflection solution

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Variational methods applied to PDEs (35A15) (n)-body problems (70F10) PDEs in connection with mechanics of particles and systems of particles (35Q70)

Related Items (10)

Variational aspects of the two-center problem ⋮ Nonconstant periodic solutions with any fixed energy for singular Hamiltonian systems ⋮ Parabolic solutions for the planar \(N\)-centre problem: multiplicity and scattering ⋮ Symbolic dynamics for the anisotropic \(N\)-centre problem at negative energies ⋮ Topology, singularities and integrability in Hamiltonian systems with two degrees of freedom ⋮ A Maupertuis-type principle in relativistic mechanics and applications ⋮ Variational construction for heteroclinic orbits of the \(N\)-center problem ⋮ Periodic solutions to a forced Kepler problem in the plane ⋮ Infinitely many non-constant periodic solutions with negative fixed energy for Hamiltonian systems ⋮ On action-minimizing solutions of the two-center problem

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