Topological approach to the generalized $ n$-centre problem

DOI10.1070/RM9779zbMath1427.70031arXiv1705.04671MaRDI QIDQ4596557

Valery V. Kozlov, Sergey V. Bolotin

Publication date: 1 December 2017

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.04671

zbMATH Keywords

coveringintegrabilitymetric spacesingular pointHamiltonian systemFinsler metricLevi-Civita regularizationchaotic invariant setJacobi metriccollision-free trajectorydegree of singular point

Mathematics Subject Classification ID

Dynamical systems in classical and celestial mechanics (37N05) (n)-body problems (70F10) Topological and differential topological methods for problems in mechanics (70G40)

Related Items (8)

Variational aspects of the two-center problem ⋮ 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 ⋮ Chaotic dynamics in refraction galactic billiards ⋮ On momentum-polynomial integrals of a reversible Hamiltonian system of a certain form ⋮ Variational construction for heteroclinic orbits of the \(N\)-center problem ⋮ The spatial \(N\)-centre problem: scattering at positive energies

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