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dc.contributor.author
Colombo, Leonardo Jesus
dc.contributor.author
Eyrea Irazu, Maria Emma
dc.date.available
2022-01-18T17:28:18Z
dc.date.issued
2020-05
dc.identifier.citation
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
dc.identifier.issn
1751-570X
dc.identifier.uri
http://hdl.handle.net/11336/150253
dc.description.abstract
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.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Elsevier
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
dc.subject
HYBRID SYSTEMS
dc.subject
POINCARÉ MAP
dc.subject
ROUTH REDUCTION
dc.subject
SYMMETRIES
dc.subject.classification
Matemática Aplicada
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
Symmetries and periodic orbits in simple hybrid Routhian systems
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2022-01-03T13:58:21Z
dc.journal.volume
36
dc.journal.pagination
1-33
dc.journal.pais
Países Bajos
dc.journal.ciudad
Amsterdam
dc.description.fil
Fil: Colombo, Leonardo Jesus. Consejo Superior de Investigaciones Científicas; España. Instituto de Ciencias Matemáticas; España
dc.description.fil
Fil: Eyrea Irazu, Maria Emma. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Matemáticas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata; Argentina
dc.journal.title
Nonlinear Analysis: Hybrid Systems
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1016/j.nahs.2020.100857
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S1751570X20300042
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