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Article Dans Une Revue Journal of the European Mathematical Society Année : 2017

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

Résumé

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 cover there are infinitely many periodic orbits with energy κ.
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ensl-01475277 , version 1 (23-02-2017)

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Alberto Abbondandolo, Leonardo Macarini, Marco Mazzucchelli, Gabriel P. Paternain. Infinitely many periodic orbits of exact magnetic flows on surfaces for almost every subcritical energy level. Journal of the European Mathematical Society, 2017, 19, pp.551 - 579. ⟨10.4171/JEMS/674⟩. ⟨ensl-01475277⟩
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