2 citations · 2 across the 7 of their papers we have counts for
7 papers
Analytic rigidity and symbolic dynamics for two-centre billiards
Stefano Baranzini, Susanna Terracini
We establish a sharp rigidity--chaos dichotomy for planar two-centre billiards, motivated by a natural analogue of the Birkhoff--Poritsky conjecture: the only tables integrable at…
Chaotic Boltzmann's Billiard Systems at positive energy
Irene De Blasi, Airi Takeuchi, Susanna Terracini
This paper deals with the so-called Boltzmann billiard, that is, a billiard subjected to a central force of the type , and being positive constants, and wi…
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…
New solutions for the symmetrical n-body problem through variational approach and optimisation techniques
Roberto Ciccarelli, Margaux Introna, Susanna Terracini +1
Advances in the variational approach to the -body problem have led to significant progress in celestial mechanics, uncovering new types of possible orbits. In this paper, critic…
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…
Frozen planet orbits for the -electron atom
Stefano Baranzini, Gian Marco Canneori, Susanna Terracini
We seek periodic trajectories of a system of multiple mutually repelling electrons on a half-line, with an attractive nucleus sitting at the origin. We adopt a variational viewpoin…
Mountain pass frozen planet orbits in the helium atom model
Stefano Baranzini, Gian Marco Canneori, Susanna Terracini
We seek frozen planet orbits for the helium atom through an application of the Mountain Pass Lemma to the Lagrangian action functional. Our method applies to a wide class of gravit…