Abstract
In this article we define and compute the Novikov Floer homology associated to a non-resonant magnetic field and a mechanical Hamiltonian on a flat torus . As a result, we deduce that this Hamiltonian system always has 2N + 1 contractible solutions, and generically even 22N contractible solutions. Moreover if there exists a non-degenerate non-contractible solution then there necessarily exists another.
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