Dynamics of rolling disk

From MaRDI portal
Publication:1417160

DOI10.1070/RD2003v008n02ABEH000237zbMath1112.37320arXivnlin/0502039OpenAlexW4248870788MaRDI QIDQ1417160

Alexander A. Kilin, Alexey V. Borisov, Ivan. S. Mamaev

Publication date: 18 December 2003

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

Full work available at URL: https://arxiv.org/abs/nlin/0502039




Related Items (26)

Dynamics of a rolling and sliding disk in a plane. Asymptotic solutions, stability and numerical simulationsHistorical and critical review of the development of nonholonomic mechanics: the classical periodDiscrete Lagrange-d'Alembert-Poincaré equations for Euler's diskThe Integrable Problem of the Rolling Motion of a Dynamically Symmetric Spherical Top with One Nonholonomic ConstraintThe rolling motion of a truncated ball without slipping and spinning on a planeContinuous rolling motion of a disk on a vibrating plateDynamics of an unbalanced disk with a single nonholonomic constraintThe Rocking Can: A Reduced Equation of Motion and a Matched Asymptotic SolutionStabilization and positioning control of a rolling disk by using the Bogdanov-Takens bifurcationThe nearly horizontally rolling of a thick disk on a rough planeDynamics of an eccentric disk on a curved surfaceThe Lagrange-D'Alembert-Poincaré equations and integrability for the Euler's diskTopological monodromy as an obstruction to Hamiltonization of nonholonomic systems: pro or contra?The tippedisk: a tippetop without rotational symmetryAn invariant measure and the probability of a fall in the problem of an inhomogeneous disk rolling on a planeIntegrable nonsmooth nonholonomic dynamics of a rubber wheel with sharp edgesModeling of spherical robots rolling on generic surfacesThe Jacobi integral in nonholonomic mechanicsRolling of a symmetric sphere on a horizontal plane without sliding or spinningExperimental and theoretical investigation of the energy dissipation of a rolling disk during its final stage of motionUniform projectile motion: Dynamics, symmetries and conservation lawsInvariant measure in the problem of a disk rolling on a planeBifurcations of Liouville tori in a system of two vortices of positive intensity in a Bose-Einstein condensateRolling friction and energy dissipation in a spinning discQualitative analysis of the nonholonomic rolling of a rubber wheel with sharp edgesRolling of a homogeneous ball over a dynamically asymmetric sphere






This page was built for publication: Dynamics of rolling disk