Discrete second order constrained lagrangian systems: first results

We briefly review the notion of second order constrained (continuous) system (SOCS) and then propose a discrete time counterpart of it, which we naturally call discrete second order constrained system (DSOCS). To illustrate and test numerically our model, we construct certain integrators that simula...

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Detalles Bibliográficos
Autores principales: Borda, Nicolás, Fernández, Javier, Grillo, Sergio
Formato: Articulo
Lenguaje:Inglés
Publicado: 2013
Materias:
Matemática
Discrete mechanical systems
Geometric mechanics
Nonholonomic mechanics
Second order constraints
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/85473
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-85473
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Matemática
Discrete mechanical systems
Geometric mechanics
Nonholonomic mechanics
Second order constraints
spellingShingle Matemática
Discrete mechanical systems
Geometric mechanics
Nonholonomic mechanics
Second order constraints
Borda, Nicolás
Fernández, Javier
Grillo, Sergio
Discrete second order constrained lagrangian systems: first results
topic_facet Matemática
Discrete mechanical systems
Geometric mechanics
Nonholonomic mechanics
Second order constraints
description We briefly review the notion of second order constrained (continuous) system (SOCS) and then propose a discrete time counterpart of it, which we naturally call discrete second order constrained system (DSOCS). To illustrate and test numerically our model, we construct certain integrators that simulate the evolution of two mechanical systems: a particle moving in the plane with prescribed signed curvature, and the inertia wheel pendulum with a Lyapunov constraint. In addition, we prove a local existence and uniqueness result for trajectories of DSOCSs. As a first comparison of the underlying geometric structures, we study the symplectic behavior of both SOCSs and DSOCSs.
format Articulo
Articulo
author Borda, Nicolás
Fernández, Javier
Grillo, Sergio
author_facet Borda, Nicolás
Fernández, Javier
Grillo, Sergio
author_sort Borda, Nicolás
title Discrete second order constrained lagrangian systems: first results
title_short Discrete second order constrained lagrangian systems: first results
title_full Discrete second order constrained lagrangian systems: first results
title_fullStr Discrete second order constrained lagrangian systems: first results
title_full_unstemmed Discrete second order constrained lagrangian systems: first results
title_sort discrete second order constrained lagrangian systems: first results
publishDate 2013
url http://sedici.unlp.edu.ar/handle/10915/85473
work_keys_str_mv AT bordanicolas discretesecondorderconstrainedlagrangiansystemsfirstresults
AT fernandezjavier discretesecondorderconstrainedlagrangiansystemsfirstresults
AT grillosergio discretesecondorderconstrainedlagrangiansystemsfirstresults
bdutipo_str Repositorios
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