Integrability and ergodicity of classical billiards in a magnetic field.

DOI10.1007/BF02183641zbMath1081.37523arXivchao-dyn/9501009OpenAlexW3099963630MaRDI QIDQ1593398

R. Smith

Publication date: 16 January 2001

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/chao-dyn/9501009

zbMATH Keywords

integrabilitymagnetic fieldergodicitybilliardsadiabatic invarianttwist map

Mathematics Subject Classification ID

Motion of charged particles (78A35) Local and nonlocal bifurcation theory for dynamical systems (37G99) Hamiltonian and Lagrangian mechanics (70H99)

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Cites Work

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• On the discontinuities of the boundary in billiards
• Instability of the boundary in the billiard ball problem
• Glancing billiards
• Stable and Random Motions in Dynamical Systems
• Symplectic maps, variational principles, and transport
• Classical billiards in magnetic fields
• THE EXISTENCE OF CAUSTICS FOR A BILLIARD PROBLEM IN A CONVEX DOMAIN
• Tangent map for classical billiards in magnetic fields

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