Elliptic islands in generalized Sinai billiards

DOI10.1017/S0143385700010142zbMath0864.58034OpenAlexW2335057901MaRDI QIDQ4714427

Victor J. Donnay

Publication date: 6 July 1997

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0143385700010142

zbMATH Keywords

KAM theoryelliptic islandelliptic periodic orbitgeneralized Sinai billiard

Mathematics Subject Classification ID

Geodesic flows in symplectic geometry and contact geometry (53D25) Ergodic theory (37A99) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items

Gravitational collapse and ergodicity in confined gravitational systems, Correlation decay in certain soft billiards, Nonergodicity of the motion in three-dimensional steep repelling dispersing potentials, Approximating multi-dimensional Hamiltonian flows by billiards, Linear and nonlinear stability of periodic orbits in annular billiards, Ergodicity of a single particle confined in a nanopore, On topological entropy of billiard tables with small inner scatterers, Three unequal masses on a ring and soft triangular billiards, On Sinaĭ billiards on flat surfaces with horns, Stability in high dimensional steep repelling potentials, Big islands in dispersing billiard-like potentials

Uses Software

• Mathematica

Cites Work

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