A. Venturelli

activity

20112019

most citedFrom Brake to Syzygy

28 citations · 30 across the 3 of their papers we have counts for

collaborators

3 papers

math.DS2019★ 2 cited

Viscosity solutions and hyperbolic motions: a new PDE method for the $N$ -body problem

Ezequiel Maderna, Andrea Venturelli

We prove for the $N$ -body problem the existence of hyperbolic motions for any prescribed limit shape and any given initial configuration of the bodies. The energy level $h > 0$ of th…

math.DS2016

A multidimensional birkhoff theorem for time-dependent tonelli hamiltonians

Marie-Claude Arnaud, Andrea Venturelli

Let $M$ be a closed and connected manifold, $H : T^{*} M \times R / Z \to R$ a Tonelli $1$ -periodic Hamiltonian and $L \subset T^{*} M$ a Lagrangian sub…

math.DS2011★ 28 cited

From Brake to Syzygy

Richard Moeckel, Richard Montgomery, Andrea Venturelli

In the planar three-body problem, we study solutions with zero initial velocity (brake orbits). Following such a solution until the three masses become collinear (syzygy), we obtai…

Viscosity solutions and hyperbolic motions: a new PDE method for the N-body problem

A multidimensional birkhoff theorem for time-dependent tonelli hamiltonians

From Brake to Syzygy

Viscosity solutions and hyperbolic motions: a new PDE method for the $N$ -body problem