11 citations · 22 across the 6 of their papers we have counts for
4 papers · 1 filter
Non-resonant circles for strong magnetic fields on surfaces
L. Asselle, G. Benedetti
We study non-resonant circles for strong magnetic fields on a closed, connected, oriented surface and show how these can be used to prove the existence of trapping regions and of p…
Normal forms for strong magnetic systems on surfaces: Trapping regions and rigidity of Zoll systems
Luca Asselle, Gabriele Benedetti
We prove a normal form for strong magnetic fields on a closed, oriented surface and use it to derive two dynamical results for the associated flow. First, we show the existence of…
Integrable magnetic flows on the two-torus: Zoll examples and systolic inequalities
Luca Asselle, Gabriele Benedetti
In this paper we study some aspects of integrable magnetic systems on the two-torus. On the one hand, we construct the first non-trivial examples with the property that all magneti…
Lecture notes on closed orbits for twisted autonomous Tonelli Lagrangian flows
Gabriele Benedetti
These notes were prepared in occasion of a mini-course given by the author at the "CIMPA Research School - Hamiltonian and Lagrangian Dynamics" (10-19 March 2015 - Salto, Uruguay).…