Chaplygin top with a periodic gyrostatic moment

DOI10.1134/S1061920818040088zbMath1435.70019OpenAlexW2905218676WikidataQ128811011 ScholiaQ128811011MaRDI QIDQ1714005

Elena N. Pivovarova, Alexander A. Kilin

Publication date: 30 January 2019

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1061920818040088

Mathematics Subject Classification ID

Motion of a rigid body in contact with a solid surface (70E18)

Related Items (11)

Asymptotic behavior in the dynamics of a smooth body in an ideal fluid ⋮ Roller racer with varying gyrostatic momentum: acceleration criterion and strange attractors ⋮ Vibrational Stability of Periodic Solutions of the Liouville Equations ⋮ Quaternion model of programmed control over motion of a Chaplygin ball ⋮ Dynamics of a spherical robot with variable moments of inertia and a displaced center of mass ⋮ Dynamics of rubber Chaplygin sphere under periodic control ⋮ Different models of rolling for a robot ball on a plane as a generalization of the Chaplygin ball problem ⋮ Normal forms and averaging in an acceleration problem in nonholonomic mechanics ⋮ A particular integrable case in the nonautonomous problem of a Chaplygin sphere rolling on a vibrating plane ⋮ Qualitative analysis of the nonholonomic rolling of a rubber wheel with sharp edges ⋮ Dynamics of the nonholonomic Suslov problem under periodic control: unbounded speedup and strange attractors

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