Discrete Lagrange-d’Alembert-Poincaré equations for Euler’s disk-Reference-Cited by-同舟云学术

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Discrete Lagrange-d’Alembert-Poincaré equations for Euler’s disk

Published:2011-11-18 Issue:1 Volume:106 Page:225-234
ISSN:1578-7303
Container-title:Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas
language:en
Short-container-title:RACSAM

Author:

Campos Cédric M.,Cendra Hernán,Díaz Viviana Alejandra,Martín de Diego David

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics,Geometry and Topology,Algebra and Number Theory,Analysis

Link

http://link.springer.com/content/pdf/10.1007/s13398-011-0053-3.pdf

Reference27 articles.

1. Bildsten L.: Viscous dissipation for Euler disk. Phys. Rev. E. 66, 056309 (2002)

2. Bloch, A.M.: Nonholonomic Mechanics and Control. Interdisciplinary Applied Mathematics Series, vol. 24. Springer, New-York (2003)

3. Bloch A.M., Krishnaprasad P.S., Marsden J.E., Murray R.M: Nonholonomic mechanical systems with symmetry. Arch. Ration. Mech. Anal. 136, 21–99 (1996)

4. Borisov A.V., Mamaev I.S., Kilin A.A.: Dynamics of rolling disk. Regul. Chaotic Dyn. 8, 201–212 (2002)

5. Caps H., Dorbolo S., Ponte S., Croisier H., Vandewalle N.: Rolling and slipping motion of Euler’s disk. Phys. Rev. E 69, 056610 (2004)

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1. Dirac reduction for nonholonomic mechanical systems and semidirect products;Advances in Applied Mathematics;2015-02

2. High order variational integrators in the optimal control of mechanical systems;Discrete & Continuous Dynamical Systems - A;2015

3. High Order Variational Integrators: A Polynomial Approach;Advances in Differential Equations and Applications;2014

4. Discrete second order constrained Lagrangian systems: First results;Journal of Geometric Mechanics;2013

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