21 citations · 122 across the 24 of their papers we have counts for
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math.DS2015★ 6 cited
On the periodic motions of a charged particle in an oscillating magnetic field on the two-torus
Luca Asselle, Gabriele Benedetti
Let be a Riemannian two-torus and let be an oscillating -form on . We show that for almost every small positive number the magnetic flow o…
math.SG2015★ 7 cited
Magnetic Katok Examples on the two-sphere
Gabriele Benedetti
We show that there exist non-exact magnetic flows on the two-sphere having an energy level whose double cover is strictly contactomorphic to an irrational ellipsoid in $\mathbb C^2…
math.SG2015★ 11 cited
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 coro…