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On the number of periodic trajectories for a Hamiltonian flow on a convex energy surface. (English) Zbl 0449.70014


MSC:

70H05 Hamilton’s equations
58E05 Abstract critical point theory (Morse theory, Lyusternik-Shnirel’man theory, etc.) in infinite-dimensional spaces
58E15 Variational problems concerning extremal problems in several variables; Yang-Mills functionals
34C25 Periodic solutions to ordinary differential equations