50 citations · 160 across the 17 of their papers we have counts for
22 papers
On the Birkhoff conjecture for Kepler billiards
Stefano Baranzini, Vivina L. Barutello, Irene De Blasi +1
We investigate the integrability of Kepler billiards-mechanical billiard systems in which a particle moves under the influence of a Keplerian potential and reflects elastically at…
Equivariant optimisation for the gravitational -body problem: a computational factory of symmetric orbits
Vivina Barutello, Mattia G. Bergomi, Gian Marco Canneori +4
In this paper we present \texttt{SymOrb.jl}, a software which combines group representation theory and variational methods to provide numerical solutions of singular dynamical syst…
Exploration of billiards with Keplerian potential
Vivina L. Barutello, Anna Maria Cherubini, Irene De Blasi
We study a class of elliptic billiards with a Keplerian potential inside, considering two cases: a reflective one, where the particle reflects elastically on the boundary, and a re…
Chaotic dynamics in refraction galactic billiards
Vivina L. Barutello, Irene De Blasi, Susanna Terracini
We prove the presence of topological chaos at high internal energies for a new class of mechanical refraction billiards coming from Celestial Mechanics. Given a smooth closed domai…
Symbolic dynamics for the anisotropic -centre problem at negative energies
Vivina Barutello, Gian Marco Canneori, Susanna Terracini
The planar -centre problem describes the motion of a particle moving in the plane under the action of the force fields of fixed attractive centres: \[ \ddot{x}(t)=\sum_{j=1}…
Sturm theory with applications in geometry and classical mechanics
Vivina L. Barutello, Daniel Offin, Alessandro Portaluri +1
Classical Sturm non-oscillation and comparison theorems as well as the Sturm theorem on zeros for solutions of second order differential equations have a natural symplectic version…