28 citations · 172 across the 20 of their papers we have counts for
10 papers · 1 filter
Perturbed Families of Symmetric Interval Exchange Maps
Idan Pazi, Vered Rom-Kedar
A perturbed family of interval exchange maps (FIEMs) provides a natural two-\linebreak{}dimensional area-preserving extension of interval exchange maps, with each IEM parameterized…
Stable motions of high energy particles interacting via a repelling potential
V. Rom-Kedar, D. Turaev
The motion of N particles interacting by a smooth repelling potential and confined to a compact d-dimensional region is proved to be, under mild conditions, non-ergodic for all suf…
Near tangent dynamics in a class of Hamiltonian impact systems
M. Pnueli, V. Rom-Kedar
Tangencies correspond to singularities of impact systems, separating between impacting and non-impacting trajectory segments. The closure of their orbits constitute the singularity…
Non-uniform ergodic properties of Hamiltonian flows with impacts
Krzysztof Frączek, Vered Rom-Kedar
The ergodic properties of two uncoupled oscillators, a horizontal and vertical one, residing in a class of non rectangular star-shaped polygons with only vertical and horizontal bo…
Impact Hamiltonian systems and polygonal billiards
L. Becker, S. Elliott, B. Firester +3
The dynamics of a beam held on a horizontal frame by springs and bouncing off a step is described by a separable two degrees of freedom Hamiltonian system with impacts that respect…
Equilibration of energy in slow-fast systems
Kushal Shah, Dmitry Turaev, Vassili Gelfreich +1
Ergodicity is a fundamental requirement for a dynamical system to reach a state of statistical equilibrium. On the other hand, it is known that in slow-fast systems ergodicity of t…