Abstract
We study the existence of heteroclinic orbits for a Hamiltonian system p˙=−Hq(p,q)q˙=Hp(p,q)where the Hamiltonian is periodic in the space variable q and superlinear in p. We use the Saddle Point Theorem to obtain existence of solutions for a finite time interval, and then we obtain heteroclinic orbits as limit of them. Our hypothesis on H are motivated by the second order Lagrangean systems on the torus.
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