Exponential instability for a class of dispersing billiards

DOI10.1017/S0143385799126543zbMath0923.58028OpenAlexW2076888138MaRDI QIDQ4238460

Latchezar Stoyanov

Publication date: 19 October 1999

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

Full work available at URL: https://doi.org/10.1017/s0143385799126543

zbMATH Keywords

periodic orbitstopological entropybillardsstrictly convex bodyreflection pointsbillard flowexpansive billard mapsprime closed billard orbits

Mathematics Subject Classification ID

Entropy in general topology (54C70) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Ergodic theory (37A99)

Related Items (12)

Non-integrability of open billiard flows and Dolgopyat-type estimates ⋮ Pointwise rotation sets of dispersing billiards ⋮ Differentiability of the largest Lyapunov exponent for planar open billiards ⋮ Distribution of periods of closed trajectories in exponentially shrinking intervals ⋮ Singular perturbation of symbolic dynamics via thermodynamic formalism ⋮ Tangent bundles to regular basic sets in hyperbolic dynamics ⋮ On topological entropy of billiard tables with small inner scatterers ⋮ Lens Rigidity in Scattering by Unions of Strictly Convex Bodies in R^2 ⋮ On the scattering length spectrum for real analytic obstacles ⋮ Rigidity of scattering lengths and travelling times for disjoint unions of strictly convex bodies ⋮ Number of nodal domains of eigenfunctions on non-positively curved surfaces with concave boundary ⋮ Differentiability of Hausdorff dimension of the non-wandering set in a planar open billiard

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