An extension of the dirac and gotay-nester theories of constraints for dirac dynamical systems

This paper extends the Gotay-Nester and the Dirac theories of constrained systems in order to deal with Dirac dynamical systems in the integrable case. Integrable Dirac dynamical systems are viewed as constrained systems where the constraint submanifolds are foliated. The cases considered usually in...

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Detalles Bibliográficos
Autores principales: Cendra, Hernán, Etchechoury, María del Rosario, Ferraro, Sebastián J.
Formato: Articulo
Lenguaje:Inglés
Publicado: 2014
Materias:
Ingeniería Mecánica
Constrained systems
Dirac structures
Implicit differential equations
Nonholonomic mechanics
Poisson geometry
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/85174
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-85174
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Ingeniería Mecánica
Constrained systems
Dirac structures
Implicit differential equations
Nonholonomic mechanics
Poisson geometry
spellingShingle Ingeniería Mecánica
Constrained systems
Dirac structures
Implicit differential equations
Nonholonomic mechanics
Poisson geometry
Cendra, Hernán
Etchechoury, María del Rosario
Ferraro, Sebastián J.
An extension of the dirac and gotay-nester theories of constraints for dirac dynamical systems
topic_facet Ingeniería Mecánica
Constrained systems
Dirac structures
Implicit differential equations
Nonholonomic mechanics
Poisson geometry
description This paper extends the Gotay-Nester and the Dirac theories of constrained systems in order to deal with Dirac dynamical systems in the integrable case. Integrable Dirac dynamical systems are viewed as constrained systems where the constraint submanifolds are foliated. The cases considered usually in the literature correspond to a trivial foliation, with only one leaf. A Constraint Algorithm for Dirac dynamical systems (CAD), which extends the Gotay-Nester algorithm, is developed. Evolution equations are written using a Dirac bracket adapted to the foliations and an adapted total energy. The interesting example of LC circuits is developed in detail. The paper emphasizes the point of view that Dirac and Gotay-Nester theories are, in a certain sense, dual and that using a combination of results from both theories may have advantages in dealing with a given example, rather than using systematically one or the other.
format Articulo
Articulo
author Cendra, Hernán
Etchechoury, María del Rosario
Ferraro, Sebastián J.
author_facet Cendra, Hernán
Etchechoury, María del Rosario
Ferraro, Sebastián J.
author_sort Cendra, Hernán
title An extension of the dirac and gotay-nester theories of constraints for dirac dynamical systems
title_short An extension of the dirac and gotay-nester theories of constraints for dirac dynamical systems
title_full An extension of the dirac and gotay-nester theories of constraints for dirac dynamical systems
title_fullStr An extension of the dirac and gotay-nester theories of constraints for dirac dynamical systems
title_full_unstemmed An extension of the dirac and gotay-nester theories of constraints for dirac dynamical systems
title_sort extension of the dirac and gotay-nester theories of constraints for dirac dynamical systems
publishDate 2014
url http://sedici.unlp.edu.ar/handle/10915/85174
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