Understanding reversals of a rattleback

DOI10.1134/S1560354717040037zbMath1394.37100OpenAlexW2740887680MaRDI QIDQ1701459

Maria Przybylska, Stefan Rauch-Wojciechowski

Publication date: 23 February 2018

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

Full work available at URL: https://doi.org/10.1134/s1560354717040037

zbMATH Keywords

rigid body dynamicsnumerical solutionsnonholonomic mechanicsrattleback

Mathematics Subject Classification ID

Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Nonholonomic systems related to the dynamics of a system of particles (70F25) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15) Stability problems for finite-dimensional Hamiltonian and Lagrangian systems (37J25) Nonholonomic dynamical systems (37J60)

Related Items (4)

Celtic stone dynamics on a plane with viscous friction ⋮ Dynamical systems with non-integrable constraints, vakonomic mechanics, sub-Riemannian geometry, and non-holonomic mechanics ⋮ Nonholonomic connections, time reparametrizations, and integrability of the rolling ball over a sphere ⋮ On the rattleback dynamics

Cites Work

• Unnamed Item
• The phenomenon of reversal in the Euler-Poincaré-Suslov nonholonomic systems
• Spin reversal of a rattleback with viscous friction
• The reversal and chaotic attractor in the nonholonomic model of Chaplygin's top
• Dynamics of the Suslov problem in a gravitational field: reversal and strange attractors
• On the dynamic behavior of the wobblestone
• On the problem of steady motions stability of nonholonomic systems
• Dynamical phenomena occurring due to phase volume compression in nonholonomic model of the rattleback
• New effects in dynamics of rattlebacks
• Richness of chaotic dynamics in nonholonomic models of a Celtic stone
• The rigid body dynamics of unidirectional spin
• On the dynamics of a solid on an absolutely rough plane

This page was built for publication: Understanding reversals of a rattleback