3 papers
math.DS2025
Symmetric solutions of the -body problem: a numerical study of Floquet multipliers and Morse indices
Diego Berti, Gian Marco Canneori, Roberto Ciccarelli +3
In this paper, we consider periodic solutions of the -body problem that satisfy symmetry constraints, expressed through invariance under finite group actions. We focus on their…
math.DS2025
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, an…
math.DS2025
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…