Chaotic behavior in the 3-center problem.

DOI10.1016/S0022-0396(03)00024-XzbMath1221.37171MaRDI QIDQ1811801

Sergey V. Bolotin, Piero Negrini

Publication date: 17 June 2003

Published in: Journal of Differential Equations (Search for Journal in Brave)

zbMATH Keywords

chaotic behaviorcenter problemPoincaré-Melnikov integral

Mathematics Subject Classification ID

Dynamics of a system of particles, including celestial mechanics (70F99) Dynamical systems in classical and celestial mechanics (37N05)

Related Items (11)

Poincaré maps and near-collision dynamics for a restricted planar \((n + 1)\)-body problem ⋮ Parabolic solutions for the planar \(N\)-centre problem: multiplicity and scattering ⋮ Symbolic dynamics for the anisotropic \(N\)-centre problem at negative energies ⋮ Symbolic dynamics: from the \(N\)-centre to the \((N+1)\)-body problem, a preliminary study ⋮ Chaotic dynamics in refraction galactic billiards ⋮ Chaotic quasi-collision trajectories in the 3-centre problem ⋮ The curved symmetric 2- and 3-center problem on constant negative surfaces ⋮ Scattering parabolic solutions for the spatial \(N\)-centre problem ⋮ CHAOTIC ORBITS IN A PLANAR THREE-CENTER PROBLEM OF SLIGHTLY NEGATIVE ENERGY ⋮ Topologically distinct collision-free periodic solutions for the \({N}\)-center problem ⋮ The spatial \(N\)-centre problem: scattering at positive energies

Cites Work

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• The effect of singularities of the potential energy on the integrability of mechanical systems
• Regularization and topological entropy for the spatial n-center problem
• Classical Planar Scattering by Coulombic Potentials
• ON MOULTON'S ORBITS IN THE RESTRICTED PROBLEM OF THREE BODIES

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