Under a suitable assumption on the potentialenergy V, we prove the existence of a homoclinic orbit for the corresponding Lagrangian function on a compact Riemannian manifold. Our assumption is satisfied, for instance, if the function V has a unique non-degerate maximum point
Homoclinic orbits on compact manifolds
GIANNONI, Fabio
1991-01-01
Abstract
Under a suitable assumption on the potentialenergy V, we prove the existence of a homoclinic orbit for the corresponding Lagrangian function on a compact Riemannian manifold. Our assumption is satisfied, for instance, if the function V has a unique non-degerate maximum pointFile in questo prodotto:
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