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Convex Hamiltonian energy surfaces and their periodic trajectories

Hofer, Helmut; Ekeland, Ivar (1987), Convex Hamiltonian energy surfaces and their periodic trajectories, Communications in Mathematical Physics, 113, 3, p. 419-469. http://dx.doi.org/10.1007/BF01221255

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Type
Article accepté pour publication ou publié
Date
1987
Journal name
Communications in Mathematical Physics
Volume
113
Number
3
Publisher
Springer
Pages
419-469
Publication identifier
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Author(s)
Hofer, Helmut
Ekeland, Ivar
Abstract (EN)
In this paper we introduce symplectic invariants for convex Hamiltonian energy surfaces and their periodic trajectories and show that these quantities satisfy several nontrivial relations. In particular we show that they can be used to prove multiplicity results for the number of periodic trajectories.
Subjects / Keywords
convex Hamiltonian energy surfaces