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math.DS2024★ 2 cited
Pensive billiards, point vortices, and the silver ratio
Theodore D. Drivas, Daniil Glukhovskiy, Boris Khesin
We define a new class of plane billiards - the `pensive billiard' - in which the billiard ball travels along the boundary for some distance depending on the incidence angle before…
math.DS2020★ 11 cited
Statistical determinism in non-Lipschitz dynamical systems
Theodore D. Drivas, Alexei A. Mailybaev, Artem Raibekas
We study a class of ordinary differential equations with a non-Lipschitz point singularity, which admit non-unique solutions through this point. As a selection criterion, we introd…