dc.creator | Cendra, Hernan | |
dc.creator | Diaz, Viviana Alejandra | |
dc.date.accessioned | 2019-05-08T20:28:26Z | |
dc.date.accessioned | 2022-10-15T06:49:50Z | |
dc.date.available | 2019-05-08T20:28:26Z | |
dc.date.available | 2022-10-15T06:49:50Z | |
dc.date.created | 2019-05-08T20:28:26Z | |
dc.date.issued | 2007-01 | |
dc.identifier | Cendra, Hernan; Diaz, Viviana Alejandra; The Lagrange-D'Alembert-Poincaré equations and integrability for the Euler's disk; Springer; Regular and Chaotic Dynamics; 12; 1; 1-2007; 56-67 | |
dc.identifier | 1560-3547 | |
dc.identifier | http://hdl.handle.net/11336/75912 | |
dc.identifier | 1468-4845 | |
dc.identifier | CONICET Digital | |
dc.identifier | CONICET | |
dc.identifier.uri | https://repositorioslatinoamericanos.uchile.cl/handle/2250/4357110 | |
dc.description.abstract | Nonholonomic systems are described by the Lagrange-D'Alembert's principle. The presence of symmetry leads, upon the choice of an arbitrary principal connection, to a reduced D'Alembert's principle and to the Lagrange-D'Alembert-Poincaré reduced equations. The case of rolling constraints has a long history and it has been the purpose of many works in recent times. In this paper we find reduced equations for the case of a thick disk rolling on a rough surface, sometimes called Euler's disk, using a 3-dimensional abelian group of symmetry. We also show how the reduced system can be transformed into a single second order equation, which is an hypergeometric equation. | |
dc.language | eng | |
dc.publisher | Springer | |
dc.relation | info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1134/S1560354707010054 | |
dc.relation | info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1134/S1560354707010054 | |
dc.rights | https://creativecommons.org/licenses/by-nc-sa/2.5/ar/ | |
dc.rights | info:eu-repo/semantics/restrictedAccess | |
dc.subject | EULER'S DISK | |
dc.subject | INTEGRABILITY | |
dc.subject | NONHOLONOMIC SYSTEMS | |
dc.subject | SYMMETRY | |
dc.title | The Lagrange-D'Alembert-Poincaré equations and integrability for the Euler's disk | |
dc.type | info:eu-repo/semantics/article | |
dc.type | info:ar-repo/semantics/artículo | |
dc.type | info:eu-repo/semantics/publishedVersion | |