We consider an exact magnetic flow on the tangent bundle of a closed surface. We prove that for almost every energy level κ below the Mañé critical value of the universal covering there are infinitely many periodic orbits with energy κ.

Infinitely many periodic orbits of exact magnetic flows on surfaces for almost every subcritical energy level

ABBONDANDOLO, ALBERTO;
2017-01-01

Abstract

We consider an exact magnetic flow on the tangent bundle of a closed surface. We prove that for almost every energy level κ below the Mañé critical value of the universal covering there are infinitely many periodic orbits with energy κ.
2017
Abbondandolo, Alberto; Macarini, Leonardo; Mazzucchelli, Marco; Paternain, Gabriel P.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11568/755755
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