title: Billiards: a singular perturbation limit of smooth Hamiltonian flows.
abstract: Nonlinear multi-dimensional Hamiltonian systems that are not near integrable typically have mixed phase space and a plethora of instabilities. Hence, it is difficult to analyze them, to visualize them, or even to interpret their numerical simulations. We survey an emerging methodology for analyzing a class of such systems: Hamiltonians with steep potentials that limit to billiards.
authors: The Estrin Family Chair of Computer Science and Applied Mathematics, Department of Mathematics, The Weizmann Institute of Science, Rehovot 76910, Israel. vered.rom-kedar@weizmann.ac.il
authors: V
authors: V
authors: Rom-Kedar
authors: D
authors: D
authors: Turaev