Dynamics of the Chaplygin sleigh on a cylinder
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Publication:283039
DOI10.1134/S1560354716010081zbMath1346.70006MaRDI QIDQ283039
Alexey V. Borisov, Ivan. A. Bizyaev, Ivan. S. Mamaev
Publication date: 13 May 2016
Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)
Full work available at URL: http://mathnet.ru/eng/nd546
Stability for nonlinear problems in mechanics (70K20) 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)
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Cites Work
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- On the motion of a mechanical system inside a rolling ball
- The hierarchy of dynamics of a rigid body rolling without slipping and spinning on a plane and a sphere
- The Euler-Jacobi-Lie integrability theorem
- On moving Chaplygin sleigh on a convex surface
- On the theory of motion of nonholonomic systems. The reducing-multiplier theorem. Translated from the Russian 1911 original
- How to control Chaplygin's sphere using rotors
- On the existence of an integral invariant of a smooth dynamic system
- On a ball's rolling on a horizontal plane. Translated from the Russian 1903 original
- Unimodularity and preservation of volumes in nonholonomic mechanics
- The problem of drift and recurrence for the rolling Chaplygin ball
- On a nonholonomic dynamical problem
- The dynamics of nonholonomic systems consisting of a spherical shell with a moving rigid body inside
- Non-holonomic dynamics and Poisson geometry
- Geometrisation of Chaplygin's reducing multiplier theorem
- Hula-Hoop: An Example of Heteroparametric Excitation
- Several problems on dynamical systems and mechanics
- Der Schlitten
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