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

L. Asselle; G. Benedetti

doi:10.1007/s00526-015-0834-1

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

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Abstract

© 2015, Springer-Verlag Berlin Heidelberg.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 τ*+(g,σ) less than or equal to the Mañé critical value of the universal cover there are infinitely many closed magnetic geodesics with energy k.

Original language	English
Pages (from-to)	1525-1545
Journal	Calculus of Variations and Partial Differential Equations
Volume	54
Issue number	2
DOIs	https://doi.org/10.1007/s00526-015-0834-1
Publication status	Published - 22 Oct 2015
Externally published	Yes

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

abstract = "{\textcopyright} 2015, Springer-Verlag Berlin Heidelberg.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 τ*+(g,σ) 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.",

author = "L. Asselle and G. Benedetti",

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AU - Asselle, L.

AU - Benedetti, G.

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N2 - © 2015, Springer-Verlag Berlin Heidelberg.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 τ*+(g,σ) less than or equal to the Mañé critical value of the universal cover there are infinitely many closed magnetic geodesics with energy k.

AB - © 2015, Springer-Verlag Berlin Heidelberg.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 τ*+(g,σ) less than or equal to the Mañé critical value of the universal cover there are infinitely many closed magnetic geodesics with energy k.

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DO - 10.1007/s00526-015-0834-1

M3 - Article

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JO - Calculus of Variations and Partial Differential Equations

JF - Calculus of Variations and Partial Differential Equations

IS - 2

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

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