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math.DS2023★ 1 cited
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…
math.DS2022★ 11 cited
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…