A particular integrable case in the nonautonomous problem of a Chaplygin sphere rolling on a vibrating plane

DOI10.1134/S1560354721060149zbMath1490.37079OpenAlexW4200165971MaRDI QIDQ2074787

Alexander A. Kilin, Elena N. Pivovarova

Publication date: 10 February 2022

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

Full work available at URL: https://doi.org/10.1134/s1560354721060149

zbMATH Keywords

periodic oscillationsrolling motionnonholonomic constraintnonautonomous dynamical systemintegrable casepermanent rotationsChaplygin sphereperiod advance map

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Nonholonomic systems related to the dynamics of a system of particles (70F25) Motion of a rigid body in contact with a solid surface (70E18) Nonholonomic dynamical systems (37J60)

Related Items (2)

Stabilization of steady rotations of a spherical robot on a vibrating base using feedback ⋮ Motion control of the spherical robot rolling on a vibrating plane

Cites Work

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