The Lagrange-D'Alembert-Poincaré equations and integrability for the Euler's disk

DOI10.1134/S1560354707010054zbMath1229.70039OpenAlexW2391545115MaRDI QIDQ655242

Hernan Cendra, Viviana Alejandra Díaz

Publication date: 3 January 2012

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

Full work available at URL: https://doi.org/10.1134/s1560354707010054

zbMATH Keywords

symmetryintegrabilitynonholonomic systemsEuler's disk

Mathematics Subject Classification ID

Nonholonomic systems related to the dynamics of a system of particles (70F25) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Nonholonomic dynamical systems (37J60)

Related Items (6)

Discrete Lagrange-d'Alembert-Poincaré equations for Euler's disk ⋮ Lagrange-d'Alembert-Poincaré equations by several stages ⋮ Dirac reduction for nonholonomic mechanical systems and semidirect products ⋮ On rolling of a heavy disk on a surface of revolution with negative curvature ⋮ Experimental and theoretical investigation of the energy dissipation of a rolling disk during its final stage of motion ⋮ Rolling friction and energy dissipation in a spinning disc

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