33 citations · 215 across the 34 of their papers we have counts for
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math.DS2016★ 17 cited
The multiplicity problem for periodic orbits of magnetic flows on the 2-sphere
Alberto Abbondandolo, Luca Asselle, Gabriele Benedetti +2
We consider magnetic Tonelli Hamiltonian systems on the cotangent bundle of the 2-sphere, where the magnetic form is not necessarily exact. It is known that, on very low and on hig…
math.DS2016★ 6 cited
On Tonelli periodic orbits with low energy on surfaces
Luca Asselle, Marco Mazzucchelli
We prove that, on a closed surface, a Lagrangian system defined by a Tonelli Lagrangian possesses a periodic orbit that is a local minimizer of the free-period action functiona…