An invariant measure and the probability of a fall in the problem of an inhomogeneous disk rolling on a plane

DOI10.1134/S1560354718060035zbMath1410.37059OpenAlexW2905343920WikidataQ128751881 ScholiaQ128751881MaRDI QIDQ1739549

Alexey V. Borisov, Ivan. A. Bizyaev, Ivan. S. Mamaev

Publication date: 26 April 2019

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

Full work available at URL: https://doi.org/10.1134/s1560354718060035

zbMATH Keywords

regularizationinvariant measureergodic theoremsfirst integralsPoincaré mapblowing-upnonholonomic mechanicsnormal hyperbolic submanifold

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Nonholonomic systems related to the dynamics of a system of particles (70F25) Nonholonomic dynamical systems (37J60)

Related Items (4)

Existence of invariant volumes in nonholonomic systems subject to nonlinear constraints ⋮ Dynamics of an unbalanced disk with a single nonholonomic constraint ⋮ Influence of Bartnett-London and Einstein-de Haas effects on the motion of the nonholonomic sphere of Routh ⋮ Dynamics of a Chaplygin sleigh with an unbalanced rotor: regular and chaotic motions

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