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Seminar "Optimal Control and Dynamical Systems"
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Periodic orbits of exact magnetic flows on surfaces M. Mazzucchelli École Normale Supérieure de Lyon |
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Abstract: This talk is about periodic obits of exact magnetic flows on the cotangent bundle of closed surfaces. The dynamics of these Hamiltonian systems on high energy levels is well known: it is conjugated to a Reeb flow, and actually to a Finsler geodesic flow. In this talk, I will focus on low energies, more precisely on energies below the so-called Mane critical value of the universal covering. After introducing the setting, I will present a recent result asserting the existence of infinitely many periodic orbits on almost all energy levels in this range. This is a joint work with A. Abbondandolo, L. Macarini, and G. P. Paternain. Language: English |
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