Cantori for the stadium billiard

DOI10.1063/1.165867zbMath1055.37518OpenAlexW1985235010WikidataQ52422646 ScholiaQ52422646MaRDI QIDQ4526226

James D. Meiss

Publication date: 16 January 2001

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.165867

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Other variational principles in mechanics (70H30) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Periodic and quasi-periodic flows and diffeomorphisms (37C55) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items

Variational principle for periodic trajectories of hyperbolic billiards ⋮ Some dynamical properties of the stadium billiard

Cites Work

• The discrete Frenkel-Kontorova model and its extensions: I. Exact results for the ground-states
• Transport in Hamiltonian systems
• Resonances in area-preserving maps
• On the ergodic properties of nowhere dispersing billiards
• Statistical properties of Lorentz gas with periodic configuration of scatterers
• On ergodic properties of certain billiards
• Existence of quasi-periodic orbits for twist homeomorphisms of the annulus
• Glancing billiards
• Two-Dimensional Measure-Preserving Mappings