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
TypeArticle accepté pour publication ou publié
Journal nameCommunications in Mathematical Physics
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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 / Keywordsconvex Hamiltonian energy surfaces
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