3 papers
nlin.CD2006
Supplement to the article "Approximating multi-dimensional Hamiltonian flows by billiards": Proof of C and C - closeness Theorems
A. Rapoport, V. Rom-Kedar, D. Turaev
This supplement to the article "Approximating multi-dimensional Hamiltonian flows by billiards" contains the proofs of C and C - closeness theorems stated in the articl…
nlin.CD2006
Non-ergodicity of the motion in three dimensional steep repelling dispersing potentials
Anna Rapoport, Vered Rom-Kedar
It is demonstrated numerically that smooth three degrees of freedom Hamiltonian systems which are arbitrarily close to three dimensional strictly dispersing billiards (Sinai billia…
nlin.CD2005
Approximating multi-dimensional Hamiltonian flows by billiards
A. Rapoport, V. Rom-Kedar, D. Turaev
Consider a family of smooth potentials , which, in the limit , become a singular hard-wall potential of a multi-dimensional billiard. We define auxiliary billiard domai…