Singularity crossing phenomena in nonlinear electrical circuits

Autores
Kleiman, Diana Leonor; Etchechoury, María del Rosario; Puleston, Pablo Federico
Año de publicación
2017
Idioma
inglés
Tipo de recurso
documento de conferencia
Estado
versión publicada
Descripción
In a nonlinear system a singular crossing point is a singular point such that there is at least one solution crossing through it. In this article we study a family of nonlinear electrical circuits, that can be represented by nonlinear Implicit Differential Equations -IDEs-. We set conditions that ensure the existence of singular crossing points in these circuits. There are different approaches to this problem for a given general IDE, but the results we get for this family of circuits allow us to find these points in an extremely simple way. The results are illustrated in a concrete example.
Facultad de Ingeniería
Materia
Matemática
Implicit differential equation
Nonlinear circuit
Singularity
Singular crossing point
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by-nc-sa/4.0/
Repositorio
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/81879
Acceder
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oai_identifier_str oai:sedici.unlp.edu.ar:10915/81879
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network_name_str SEDICI (UNLP)
spelling Singularity crossing phenomena in nonlinear electrical circuitsKleiman, Diana LeonorEtchechoury, María del RosarioPuleston, Pablo FedericoMatemáticaImplicit differential equationNonlinear circuitSingularitySingular crossing pointIn a nonlinear system a singular crossing point is a singular point such that there is at least one solution crossing through it. In this article we study a family of nonlinear electrical circuits, that can be represented by nonlinear Implicit Differential Equations -IDEs-. We set conditions that ensure the existence of singular crossing points in these circuits. There are different approaches to this problem for a given general IDE, but the results we get for this family of circuits allow us to find these points in an extremely simple way. The results are illustrated in a concrete example.Facultad de Ingeniería2017info:eu-repo/semantics/conferenceObjectinfo:eu-repo/semantics/publishedVersionObjeto de conferenciahttp://purl.org/coar/resource_type/c_5794info:ar-repo/semantics/documentoDeConferenciaapplication/pdf44-51http://sedici.unlp.edu.ar/handle/10915/81879enginfo:eu-repo/semantics/altIdentifier/issn/2314-3282info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-sa/4.0/Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-10-22T16:56:07Zoai:sedici.unlp.edu.ar:10915/81879Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-10-22 16:56:07.929SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv Singularity crossing phenomena in nonlinear electrical circuits
title Singularity crossing phenomena in nonlinear electrical circuits
spellingShingle Singularity crossing phenomena in nonlinear electrical circuits
Kleiman, Diana Leonor
Matemática
Implicit differential equation
Nonlinear circuit
Singularity
Singular crossing point
title_short Singularity crossing phenomena in nonlinear electrical circuits
title_full Singularity crossing phenomena in nonlinear electrical circuits
title_fullStr Singularity crossing phenomena in nonlinear electrical circuits
title_full_unstemmed Singularity crossing phenomena in nonlinear electrical circuits
title_sort Singularity crossing phenomena in nonlinear electrical circuits
dc.creator.none.fl_str_mv Kleiman, Diana Leonor
Etchechoury, María del Rosario
Puleston, Pablo Federico
author Kleiman, Diana Leonor
author_facet Kleiman, Diana Leonor
Etchechoury, María del Rosario
Puleston, Pablo Federico
author_role author
author2 Etchechoury, María del Rosario
Puleston, Pablo Federico
author2_role author
author
dc.subject.none.fl_str_mv Matemática
Implicit differential equation
Nonlinear circuit
Singularity
Singular crossing point
topic Matemática
Implicit differential equation
Nonlinear circuit
Singularity
Singular crossing point
dc.description.none.fl_txt_mv In a nonlinear system a singular crossing point is a singular point such that there is at least one solution crossing through it. In this article we study a family of nonlinear electrical circuits, that can be represented by nonlinear Implicit Differential Equations -IDEs-. We set conditions that ensure the existence of singular crossing points in these circuits. There are different approaches to this problem for a given general IDE, but the results we get for this family of circuits allow us to find these points in an extremely simple way. The results are illustrated in a concrete example.
Facultad de Ingeniería
description In a nonlinear system a singular crossing point is a singular point such that there is at least one solution crossing through it. In this article we study a family of nonlinear electrical circuits, that can be represented by nonlinear Implicit Differential Equations -IDEs-. We set conditions that ensure the existence of singular crossing points in these circuits. There are different approaches to this problem for a given general IDE, but the results we get for this family of circuits allow us to find these points in an extremely simple way. The results are illustrated in a concrete example.
publishDate 2017
dc.date.none.fl_str_mv 2017
dc.type.none.fl_str_mv info:eu-repo/semantics/conferenceObject
info:eu-repo/semantics/publishedVersion
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http://purl.org/coar/resource_type/c_5794
info:ar-repo/semantics/documentoDeConferencia
format conferenceObject
status_str publishedVersion
dc.identifier.none.fl_str_mv http://sedici.unlp.edu.ar/handle/10915/81879
url http://sedici.unlp.edu.ar/handle/10915/81879
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/issn/2314-3282
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
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Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
dc.format.none.fl_str_mv application/pdf
44-51
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collection SEDICI (UNLP)
instname_str Universidad Nacional de La Plata
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repository.name.fl_str_mv SEDICI (UNLP) - Universidad Nacional de La Plata
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