28 citations · 172 across the 20 of their papers we have counts for
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math.DS2013★ 5 cited
Smooth Hamiltonian systems with soft impacts
Mary Kloc, Vered Rom-Kedar
In a Hamiltonian system with impacts (or "billiard with potential"), a point particle moves about the interior of a bounded domain according to a background potential, and undergoe…
math.DS2013★ 15 cited
Oscillating mushrooms: adiabatic theory for a non-ergodic system
V. Gelfreich, V. Rom-Kedar, D. Turaev
Can elliptic islands contribute to sustained energy growth as parameters of a Hamiltonian system slowly vary with time? In this paper we show that a mushroom billiard with a period…