Symmetries and periodic orbits in simple hybrid Routhian systems

Symmetries are ubiquitous in a wide range of nonlinear systems. Particularly in systems whose dynamics is determined by a Lagrangian or Hamiltonian function. For hybrid systems which possess a continuous-time dynamics determined by a Lagrangian function, with a cyclic variable, the degrees of freedo...

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Autores principales: Colombo, Leonardo, Eyrea Irazú, María Emma
Formato: Articulo Preprint
Lenguaje:Inglés
Publicado: 2020
Materias:
Matemática
Hybrid systems
Symmetries
Routh reduction
Poincaré map
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/124386
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-124386
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Matemática
Hybrid systems
Symmetries
Routh reduction
Poincaré map
spellingShingle Matemática
Hybrid systems
Symmetries
Routh reduction
Poincaré map
Colombo, Leonardo
Eyrea Irazú, María Emma
Symmetries and periodic orbits in simple hybrid Routhian systems
topic_facet Matemática
Hybrid systems
Symmetries
Routh reduction
Poincaré map
description Symmetries are ubiquitous in a wide range of nonlinear systems. Particularly in systems whose dynamics is determined by a Lagrangian or Hamiltonian function. For hybrid systems which possess a continuous-time dynamics determined by a Lagrangian function, with a cyclic variable, the degrees of freedom for the corresponding hybrid Lagrangian system can be reduced by means of a method known as hybrid Routhian reduction. In this paper we study sufficient conditions for the existence of periodic orbits in hybrid Routhian systems which also exhibit a time-reversal symmetry. Likewise, we explore some stability aspects of such orbits through the characterization of the eigenvalues for the corresponding linearized Poincare map. Finally, we apply the results to find periodic solutions in underactuated hybrid Routhian control systems.
format Articulo
Preprint
author Colombo, Leonardo
Eyrea Irazú, María Emma
author_facet Colombo, Leonardo
Eyrea Irazú, María Emma
author_sort Colombo, Leonardo
title Symmetries and periodic orbits in simple hybrid Routhian systems
title_short Symmetries and periodic orbits in simple hybrid Routhian systems
title_full Symmetries and periodic orbits in simple hybrid Routhian systems
title_fullStr Symmetries and periodic orbits in simple hybrid Routhian systems
title_full_unstemmed Symmetries and periodic orbits in simple hybrid Routhian systems
title_sort symmetries and periodic orbits in simple hybrid routhian systems
publishDate 2020
url http://sedici.unlp.edu.ar/handle/10915/124386
work_keys_str_mv AT colomboleonardo symmetriesandperiodicorbitsinsimplehybridrouthiansystems
AT eyreairazumariaemma symmetriesandperiodicorbitsinsimplehybridrouthiansystems
bdutipo_str Repositorios
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