Nonplanar and noncollision periodic solutions for \(N\)-body problems

DOI10.3934/DCDS.2004.10.679zbMath1238.70006OpenAlexW2053385830MaRDI QIDQ1433446

Qing Zhou, Zhang, Shiqing

Publication date: 18 June 2004

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2004.10.679

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Dynamical systems in classical and celestial mechanics (37N05) (n)-body problems (70F10)

Related Items (11)

Existence of prograde double-double orbits in the equal-mass four-body problem ⋮ Periodic solutions of second order non-autonomous singular dynamical systems ⋮ New periodic solutions for planar five-body and seven-body problems ⋮ Periodic solutions for circular restricted \(N+1\)-body problems ⋮ New periodic solutions for some planar \(N + 3\)-body problems with Newtonian potentials ⋮ New periodic solutions for planar \((N+2)\)-body problems ⋮ Non-collision periodic solutions of second order singular dynamical systems ⋮ Action minimizers under topological constraints in the planar equal-mass four-body problem ⋮ Saari's Conjecture for Elliptical Motions and Minimizing Solutions of the N-body Problem ⋮ Action-minimizing solutions of the one-dimensional \(N\)-body problem ⋮ New periodic solutions for Newtonian \(n\)-body problems with dihedral group symmetry and topological constraints

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