Approximating multi-dimensional Hamiltonian flows by billiards
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Publication:2454806
DOI10.1007/s00220-007-0228-0zbMath1129.37031arXivnlin/0511071OpenAlexW2007506674MaRDI QIDQ2454806
A. Rapoport, Vered Rom-Kedar, Dmitry V. Turaev
Publication date: 22 October 2007
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/nlin/0511071
multidimensional billiardsmultidimensional smooth Hamiltonian flowssingular hard-wall potentialssystems with steep potentials
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Cites Work
- Unnamed Item
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- Mixing and its rate in `soft' and `hard' billiards motivated by the Lorentz process
- A ``transversal fundamental theorem for semi-dispersing billiards
- Semi-focusing billiards: Hyperbolicity
- On soft billiard systems
- Linearly stable orbits in 3 dimensional billiards
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- Sort billiard systems
- On the ergodic properties of nowhere dispersing billiards
- Chaos in classical and quantum mechanics
- The \(K\)-property of four billiard balls
- Ergodic properties of plane billiards with symmetric potentials
- The \(K\)-property of \(N\) billiard balls. I
- The \(K\)-property of \(N\)-billiard balls. II: Computation of neutral linear spaces
- Statistical properties of dynamical systems with some hyperbolicity
- Hard ball systems are completely hyperbolic
- How high-dimensional stadia look like
- Nowhere dispersing 3D billiards with non-vanishing Lyapunov exponents
- Melnikov potential for exact symplectic maps
- Soft billiards with corners
- Hard ball systems and the Lorentz gas
- Big islands in dispersing billiard-like potentials
- Proof of the ergodic hypothesis for typical hard ball systems
- Non-ergodicity of two particles interacting via a smooth potential
- Hyperbolicity in multi-dimensional Hamiltonian systems with applications to soft billiards
- Stability in high dimensional steep repelling potentials
- Generalized Hamiltonian mechanics. A mathematical exposition of non-smooth dynamical systems and classical Hamiltonian mechanics
- Potentials on the two-torus for which the Hamiltonian flow is ergodic
- The K-property of three billiard balls
- Homoclinic billiard orbits inside symmetrically perturbed ellipsoids
- Anti-integrability in scattering billiards
- Discrete mechanics and variational integrators
- Nonergodicity of the motion in three-dimensional steep repelling dispersing potentials
- Ergodic properties of certain systems of two-dimensional discs and three-dimensional balls
- Ergodic properties of semi-dispersing billiards. I. Two cylindric scatterers in the 3D torus
- Perturbed billiard systems II. Bernoulli properties
- Semiclassical quantization of chaotic billiards: a scattering theory approach
- Perturbed billiard systems, I. The ergodicity of the motion of a particle in a compound central field
- Elliptic islands appearing in near-ergodic flows
- Poincaré - Melnikov - Arnold method for analytic planar maps
- Cayley-type conditions for billiards withinkquadrics in
- Billiards with polynomial decay of correlations
- Billiard in a barrel
- Elliptic islands in generalized Sinai billiards
- Persistence of homoclinic orbits for billiards and twist maps
- Dynamical systems with elastic reflections
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