Asymptotic dynamics of the dual billiard transformation.

DOI10.1007/BF02183638zbMath1081.37531OpenAlexW2116499474MaRDI QIDQ1593399

Sergei Tabachnikov

Publication date: 16 January 2001

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

Full work available at URL: https://doi.org/10.1007/bf02183638

zbMATH Keywords

KAM theoryinvariant curvesHamiltonian flowdual billiards

Mathematics Subject Classification ID

Hamilton's equations (70H05) Dynamics induced by flows and semiflows (37C10) Contact systems (37J55)

Related Items (5)

Pseudochaotic dynamics near global periodicity ⋮ Variations on R. Schwartz's inequality for the Schwarzian derivative ⋮ A proof of Culter's theorem on the existence of periodic orbits in polygonal outer billiards ⋮ Diffusion speed in piecewise smooth billiards ⋮ Dual billiards

Cites Work

• Unnamed Item
• Unnamed Item
• Global stability of a class of discontinuous dual billiards
• Dual polygonal billiards and necklace dynamics
• Caustics for inner and outer billiards
• On the dual billiard problem
• Stable and Random Motions in Dynamical Systems
• Freund-Witten adelic formulae for Veneziano and Virasoro-Shapiro amplitudes

This page was built for publication: Asymptotic dynamics of the dual billiard transformation.