A Geometric Approach to the Existence of Orbits with Unbounded Energy in Generic Periodic Perturbations by a Potential of Generic Geodesic Flows of ?2}
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We give a proof based in geometric perturbation theory of a result proved by J. N. Mather using variational methods. Namely, the existence of orbits with unbounded energy in perturbations of a generic geodesic flow in ?2 by a generic periodic potential.
KeywordsPerturbation Theory Variational Method Geometric Approach Periodic Potential Periodic Perturbation
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