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arXiv · 1405.0415

Infinitely many periodic orbits in non-exact oscillating magnetic fields on surfaces with genus at least two for almost every low energy level

Luca Asselle·Gabriele Benedetti
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Abstract

In this paper we consider oscillating non-exact magnetic fields on surfaces with genus at least two and show that for almost every energy level $k$ below a certain value $\tau_+^*(g,\sigma)$ less than or equal to the "Ma\~n\'e critical value of the universal cover" there are infinitely many closed magnetic geodesics with energy $k$.

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Luca Asselle, Gabriele Benedetti. 2014-05-02. Infinitely many periodic orbits in non-exact oscillating magnetic fields on surfaces with genus at least two for almost every low energy level. https://doi.org/10.1007/s00526-015-0834-1

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