On the finite dimensionality of integrable deformations of strictly convex integrable billiard tables

zbMath1460.37054arXiv1809.09341MaRDI QIDQ5112484

Guan Huang, Vadim Yu. Kaloshin

Publication date: 29 May 2020

Full work available at URL: https://arxiv.org/abs/1809.09341

zbMATH Keywords

causticsintegrable billiardsconvex billiards

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Dynamical systems with singularities (billiards, etc.) (37C83)

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On the integrability of strictly convex billiard tables with boundaries close to ellipses with small eccentricities

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