L. Asselle

activity

20142026

most citedThe Lusternik-Fet theorem for autonomous Tonelli Hamiltonian systems on twisted cotangent bundles

21 citations · 88 across the 25 of their papers we have counts for

collaborators

Showing 2015 · math.DSShow all

3 papers · 2 filters

math.DS2015★ 3 cited

On the existence of orbits satisfying periodic or conormal boundary conditions for Euler-Lagrange flows

Luca Asselle

Let $(M, g)$ be a closed Riemannian manifold and $L : T M \to R$ be a Tonelli Lagrangian. In this thesis we study the existence of orbits of the Euler-Lagrange flow asso…

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 $(T^{2}, g)$ be a Riemannian two-torus and let $σ$ be an oscillating $2$ -form on $T^{2}$ . We show that for almost every small positive number $k$ the magnetic flow o…

math.DS2015

On the existence of Euler-Lagrange orbits satisfying the conormal boundary conditions

Luca Asselle

Let $(M, g)$ be a closed Riemannian manifold, $L : T M \to R$ be a Tonelli Lagrangian. Given two closed submanifolds $Q_{0}$ and $Q_{1}$ of $M$ and a real number $k$ , we st…