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math.DG1999
Periodic orbits of Hamiltonian flows near symplectic critical submanifolds
Ely Kerman
In this paper we produce a lower bound for the number of periodic orbits of certain Hamiltonian vector fields near Bott-nondegenerate symplectic critical submanifolds. This result…
math.DG1999
Periodic Orbits in Magnetic Fields in Dimensions Greater Than Two
Viktor L. Ginzburg, Ely Kerman
The Hamiltonian flow of the standard metric Hamiltonian with respect to the twisted symplectic structure on the cotangent bundle describes the motion of a charged particle on the b…