Artículo
Lagrangian reduction of generalized nonholonomic systems
Fecha de publicación:
10/2008
Editorial:
Elsevier Science
Revista:
Journal Of Geometry And Physics
ISSN:
0393-0440
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
In this paper we study the Lagrangian reduction of generalized nonholonomic systems (GNHS) with symmetry. We restrict ourselves to those GNHS, defined on a configuration space Q, with kinematic constraints given by a general submanifold CK ⊂ T Q, and variational constraints given by a distribution CV on Q. We develop a reduction procedure that is similar to that for nonholonomic systems satisfying d'Alembert's principle, i.e. with CK a distribution and CV = CK. Special care is taken in identifying the geometrical structures and mappings involved. We illustrate the general theory with an example.
Palabras clave:
Constrained Lagrangian Systems
,
Lagrangian Reduction
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Articulos(CCT - BAHIA BLANCA)
Articulos de CTRO.CIENTIFICO TECNOL.CONICET - BAHIA BLANCA
Articulos de CTRO.CIENTIFICO TECNOL.CONICET - BAHIA BLANCA
Articulos(CCT - PATAGONIA NORTE)
Articulos de CTRO.CIENTIFICO TECNOL.CONICET - PATAGONIA NORTE
Articulos de CTRO.CIENTIFICO TECNOL.CONICET - PATAGONIA NORTE
Citación
Cendra, Hernan; Ferraro, Sebastián José; Grillo, Sergio Daniel; Lagrangian reduction of generalized nonholonomic systems; Elsevier Science; Journal Of Geometry And Physics; 58; 10; 10-2008; 1271-1290
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