The rolling motion of a truncated ball without slipping and spinning on a plane

DOI10.1134/S156035471703008XzbMath1410.70010OpenAlexW2621126684MaRDI QIDQ1695059

Alexander A. Kilin, Elena N. Pivovarova

Publication date: 6 February 2018

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

Full work available at URL: https://doi.org/10.1134/s156035471703008x

zbMATH Keywords

bifurcation diagramintegrable systemnonholonomic constraintabsolute dynamicssystem with discontinuity

Mathematics Subject Classification ID

Free motion of a rigid body (70E15) Dynamical systems in classical and celestial mechanics (37N05) Motion of a rigid body in contact with a solid surface (70E18) Integrable cases of motion in rigid body dynamics (70E40)

Related Items (8)

Dynamics of an unbalanced disk with a single nonholonomic constraint ⋮ The dynamical model of the rolling friction of spherical bodies on a plane without slipping ⋮ Influence of Bartnett-London and Einstein-de Haas effects on the motion of the nonholonomic sphere of Routh ⋮ Dynamics of a spherical robot with variable moments of inertia and a displaced center of mass ⋮ An invariant measure and the probability of a fall in the problem of an inhomogeneous disk rolling on a plane ⋮ Integrable nonsmooth nonholonomic dynamics of a rubber wheel with sharp edges ⋮ Dynamics of rubber Chaplygin sphere under periodic control ⋮ Qualitative analysis of the nonholonomic rolling of a rubber wheel with sharp edges

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