Artículo
Symmetries and periodic orbits in simple hybrid Routhian systems
Fecha de publicación:
05/2020
Editorial:
Elsevier
Revista:
Nonlinear Analysis: Hybrid Systems
ISSN:
1751-570X
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
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 Poincaré map. Finally, we apply the results to find periodic solutions in underactuated hybrid Routhian control systems.
Palabras clave:
HYBRID SYSTEMS
,
POINCARÉ MAP
,
ROUTH REDUCTION
,
SYMMETRIES
Archivos asociados
Licencia
Identificadores
Colecciones
Articulos(CCT - LA PLATA)
Articulos de CTRO.CIENTIFICO TECNOL.CONICET - LA PLATA
Articulos de CTRO.CIENTIFICO TECNOL.CONICET - LA PLATA
Citación
Colombo, Leonardo Jesus; Eyrea Irazu, Maria Emma; Symmetries and periodic orbits in simple hybrid Routhian systems; Elsevier; Nonlinear Analysis: Hybrid Systems; 36; 5-2020; 1-33
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