On Local Integrability in Billiard Dynamics

DOI10.1080/10586458.2017.1409145zbMath1423.37053OpenAlexW2777673877MaRDI QIDQ5228853

V. Schastnyy, Dmitrij V. Treshev

Publication date: 13 August 2019

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10586458.2017.1409145

zbMATH Keywords

integrabilitybilliardssuperintegrability

Mathematics Subject Classification ID

Dynamical systems involving maps of the circle (37E10) Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

Related Items (7)

Isochronicity in 1 DOF ⋮ Hamiltonian systems with a functional parameter in the form of a potential ⋮ On differential equations of integrable billiard tables ⋮ Quasiperiodic version of Gordon's theorem ⋮ On isochronicity ⋮ Open problems, questions and challenges in finite- dimensional integrable systems ⋮ Polynomial non-integrability of magnetic billiards on the sphere and the hyperbolic plane

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