The Hess-Appelrot system and its nonholonomic analogs

DOI10.1134/S0081543816060171zbMath1404.70034arXiv1607.07977OpenAlexW2489574352MaRDI QIDQ511458

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

Publication date: 15 February 2017

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.07977

Mathematics Subject Classification ID

Nonholonomic systems related to the dynamics of a system of particles (70F25) Nonholonomic dynamical systems (37J60)

Related Items (11)

On exact solutions of equations of rotational motion of a rigid body under action of torque of circular-gyroscopic forces ⋮ Dynamics of multi-link uncontrolled wheeled vehicle ⋮ The Hess-Appelrot case and quantization of the rotation number ⋮ Asymptotic invariant surfaces for non-autonomous pendulum-type systems ⋮ Dynamical systems with non-integrable constraints, vakonomic mechanics, sub-Riemannian geometry, and non-holonomic mechanics ⋮ On analogues of the Hess case for a gyrostat under the action of the moment of gyroscopic and circular forces ⋮ Invariant Submanifolds of Genus 5 and a Cantor Staircase in the Nonholonomic Model of a Snakeboard ⋮ On the Dynamics of a Rigid Body in the Hess Case at High-Frequency Vibrations of a Suspension Point ⋮ The Chaplygin sleigh with parametric excitation: chaotic dynamics and nonholonomic acceleration ⋮ Integrals of circulatory systems which are quadratic in momenta ⋮ Dynamics of the Chaplygin sphere with additional constraint

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