On the model of non-holonomic billiard

DOI10.1134/S1560354711060062zbMath1253.70008OpenAlexW2119611435MaRDI QIDQ691196

Alexander A. Kilin, Alexey V. Borisov, Ivan. S. Mamaev

Publication date: 30 November 2012

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1560354711060062

zbMATH Keywords

integral of motionperiodic solutionimpactnonintegrabilitybilliardnonholonomic constraintpoint map

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Integrable cases of motion in rigid body dynamics (70E40)

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Cites Work

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• The problem of integrable discretization: Hamiltonian approach
• Rolling of a ball on a surface. New integrals and hierarchy of dynamics
• On frictionless impact models in rigid-body systems

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