The dynamics of billiards with no-slip collisions

DOI10.1016/0167-2789(93)90205-FzbMath0785.70013MaRDI QIDQ1312506

Eugene Gutkin, David S. Broomhead

Publication date: 9 February 1994

Published in: Physica D (Search for Journal in Brave)

zbMATH Keywords

total energyinelastic collisionstangential velocity componentsimpulsive frictionrough hard spheres

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Continuum models (systems of particles, etc.) arising in equilibrium statistical mechanics (82B21) Ergodic theory (37A99) Collision of rigid or pseudo-rigid bodies (70F35)

Related Items

The system of two spinning disks in the torus ⋮ Differential geometry of rigid bodies collisions and non-standard billiards ⋮ Rolling and no-slip bouncing in cylinders ⋮ Stability of periodic orbits in no-slip billiards ⋮ Billiard in a rotating half-plane ⋮ Rolling systems and their billiard limits ⋮ No-slip billiards in dimension two ⋮ Collision of a hard ball with singular points of the boundary

Cites Work

• A theorem on ergodicity of two-dimensional hyperbolic billiards
• Dynamical systems I. Ordinary differential equations and smooth dynamical systems. Transl. from the Russian
• Impact With Friction
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