The variational contribution of the periodic orbits provided by the Birkhoff-Lewis theorem (with applications to convex Hamiltonians and to three-body--type problems)
DOI10.1215/S0012-7094-93-07001-9zbMath0780.58017OpenAlexW1537408975MaRDI QIDQ1261115
Publication date: 3 October 1993
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1215/s0012-7094-93-07001-9
periodic orbitsthree-body problemvariational problemHamiltonianssymplectic formBirkhoff-Lewis theorem
Three-body problems (70F07) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics (70H15)
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Cites Work
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