Variational methods on periodic and quasi-periodic solutions for the N-body problem

DOI10.1017/S0143385703000245zbMath1128.70306MaRDI QIDQ4472762

Kuo-Chang Chen

Publication date: 1 July 2004

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Mathematics Subject Classification ID

Related Items (19)

Symmetry groups and non-planar collisionless action-minimizing solutions of the three-body problem in three-dimensional space ⋮ Transitive decomposition of symmetry groups for the \(n\)-body problem ⋮ Existence of prograde double-double orbits in the equal-mass four-body problem ⋮ Periodic solutions for planar four-body problems ⋮ On the variational approach to the periodic \(n\)-body problem ⋮ New periodic solutions for planar five-body and seven-body problems ⋮ New periodic solutions for 2\(n\)-body problems in \(R^{3}\) ⋮ Symmetric trajectories for the \(2N\)-body problem with equal masses ⋮ Rose solutions with three petals for planar 4-body problems ⋮ New periodic solutions for some planar \(N + 3\)-body problems with Newtonian potentials ⋮ New periodic solutions for planar \((N+2)\)-body problems ⋮ Linear stability of double-double orbits in the parallelogram four-body problem ⋮ A continuum of periodic solutions to the planar four-body problem with two pairs of equal masses ⋮ Periodic solutions for \(N\)-body-type problems ⋮ New periodic orbits in the planar equal-mass five-body problem ⋮ Linear stability analysis of the figure-eight orbit in the three-body problem ⋮ Removing collision singularities from action minimizers for the \(N\)-body problem with free boundaries ⋮ Classification of periodic orbits in the planar equal-mass four-body problem ⋮ Star pentagon and many stable choreographic solutions of the Newtonian 4-body problem

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