JMD
On the existence of periodic orbits for magnetic systems on the two-sphere
Gabriele Benedetti Kai Zehmisch
We prove that there exist periodic orbits on almost all compact regular energy levels of a Hamiltonian function defined on a twisted cotangent bundle over the two-sphere. As a corollary, given any Riemannian two-sphere and a magnetic field on it, there exists a closed magnetic geodesic for almost all kinetic energy levels.
keywords: almost existence twisted cotangent bundles over the two-sphere. Periodic orbits capacity bounds magnetic flows

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