English   español  
Por favor, use este identificador para citar o enlazar a este item: http://hdl.handle.net/10261/2281
COMPARTIR / IMPACTO:
Estadísticas
logo share SHARE logo core CORE   Add this article to your Mendeley library MendeleyBASE

Visualizar otros formatos: MARC | Dublin Core | RDF | ORE | MODS | METS | DIDL
Exportar a otros formatos:
Título

A general framework for nonholonomic mechanics: Nonholonomic Systems on Lie affgebroids

AutorIglesias, David; Marrero, Juan Carlos; Martín de Diego, David; Sosa, Diana
Palabras claveLie algebroids
Lie affgebroids
Lagrangian Mechanics
Hamiltonian Mechanics
Nonholonomic Mechanics
Lagrange-d’Alembert equations
Projectors
AV-bundles
Aff-Poisson brackets
Non-holonomic brackets
Fecha de publicación2-may-2007
EditorAmerican Institute of Physics
CitaciónarXiv:0705.0278v1
Journal of Mathematical Physics 48(8): 083513 (2007)
ResumenThis paper presents a geometric description of Lagrangian and Hamiltonian systems on Lie affgebroids subject to affine nonholonomic constraints. We define the notion of nonholonomically constrained system, and characterize regularity conditions that guarantee that the dynamics of the system can be obtained as a suitable projection of the unconstrained dynamics. It is shown that one can define an almost aff-Poisson bracket on the constraint AV-bundle, which plays a prominent role in the description of nonholonomic dynamics. Moreover, these developments give a general description of nonholonomic systems and the unified treatment permits to study nonholonomic systems after or before reduction in the same framework. Also, it is not necessary to distinguish between linear or affine constraints and the methods are valid for explicitly time-dependent systems.
Descripción50 pages.-- Pre-print archive.-- PACS: 45.05.+x; 02.20.Sv; 02.40.Hw
Versión del editorhttp://dx.doi.org/10.1063/1.2776845
URIhttp://hdl.handle.net/10261/2281
DOI10.1063/1.2776845
ISSN0022-2488
Aparece en las colecciones: (ICMAT) Artículos
Ficheros en este ítem:
Fichero Descripción Tamaño Formato  
Framework.pdf684,37 kBAdobe PDFVista previa
Visualizar/Abrir
Mostrar el registro completo
 

Artículos relacionados:


NOTA: Los ítems de Digital.CSIC están protegidos por copyright, con todos los derechos reservados, a menos que se indique lo contrario.