Contact Hamiltonian and Lagrangian systems with nonholonomic constraints

León, Manuel de, Jiménez, Víctor Manuel y Lainz Valcázar, Manuel . (2021) Contact Hamiltonian and Lagrangian systems with nonholonomic constraints. Journal of Geometric Mechanics, 13: 25- 53 (2021)

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Título Contact Hamiltonian and Lagrangian systems with nonholonomic constraints
Autor(es) León, Manuel de
Jiménez, Víctor Manuel
Lainz Valcázar, Manuel
Materia(s) Matemáticas
Abstract In this article we develop a theory of contact systems with nonholonomic constraints. We obtain the dynamics from Herglotz's variational principle, by restricting the variations so that they satisfy the nonholonomic constraints. We prove that the nonholonomic dynamics can be obtained as a projection of the unconstrained Hamiltonian vector field. Finally, we construct the nonholonomic bracket, which is an almost Jacobi bracket on the space of observables and provides the nonholonomic dynamics.
Palabras clave Nonholonomic constraints
contact Hamiltonian systems
Herglotz principle
dissipative systems
nonholonomic mechanics
Jacobi nonholonomic bracket
Editor(es) American Institute of Mathematical Sciences
Fecha 2021
Formato application/pdf
Identificador bibliuned:DptoMF-FCIE-Articulos-Vmjimenez-0006
http://e-spacio.uned.es/fez/view/bibliuned:DptoMF-FCIE-Articulos-Vmjimenez-0006
DOI - identifier https://doi.org/10.3934/JGM.2021001
ISSN - identifier 1941-4889
Nombre de la revista Journal of Geometric Mechanics
Número de Volumen 13
Página inicial 25
Página final 53
Publicado en la Revista Journal of Geometric Mechanics, 13: 25- 53 (2021)
Idioma eng
Versión de la publicación publishedVersion
Tipo de recurso Article
Derechos de acceso y licencia http://creativecommons.org/licenses/by-nc-nd/4.0
info:eu-repo/semantics/openAccess
Tipo de acceso Acceso abierto
Notas adicionales The registered version of this article, first published in Journal of Geometric Mechanics, is available online at the publisher's website: American Institute of Mathematical Sciences, https://doi.org/10.3934/JGM.2021001
Notas adicionales La versión registrada de este artículo, publicado por primera vez en Journal of Geometric Mechanics, está disponible en línea en el sitio web del editor: American Institute of Mathematical Sciences, https://doi.org/10.3934/JGM.2021001

 
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Creado: Tue, 23 Jan 2024, 22:04:25 CET