A Simple Method for Impasse Points Detection in Nonlinear Electrical Circuits

Autores
Kleiman, Diana Leonor; Etchechoury, María del Rosario; Puleston, Pablo Federico
Año de publicación
2018
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In a nonlinear system, impasse points are singularities beyond which solutions are not continuable. In this article, we study two families of nonlinear electrical circuits, which can be represented by nonlinear Implicit Differential Equations. We set conditions that ensure the existence of impasse points in both families of circuits. In the literature, there exist general results to analyse the presence of such singularities in given differential equations of this type. However, the method proposed in this work allows detecting their existence in these electrical topologies in an extremely straightforward way, as illustrated by the examples of application.
Fil: Kleiman, Diana Leonor. Universidad Nacional de La Plata. Facultad de Ingeniería. Departamento de Ciencias Básicas; Argentina
Fil: Etchechoury, María del Rosario. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Matemáticas; Argentina
Fil: Puleston, Pablo Federico. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Investigaciones en Electrónica, Control y Procesamiento de Señales. Universidad Nacional de La Plata. Instituto de Investigaciones en Electrónica, Control y Procesamiento de Señales; Argentina
Materia
implicit differential equation
nonlinear circuit singularity
impasse point
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/93725
Acceder
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network_name_str CONICET Digital (CONICET)
spelling A Simple Method for Impasse Points Detection in Nonlinear Electrical CircuitsKleiman, Diana LeonorEtchechoury, María del RosarioPuleston, Pablo Federicoimplicit differential equationnonlinear circuit singularityimpasse pointhttps://purl.org/becyt/ford/2.2https://purl.org/becyt/ford/2In a nonlinear system, impasse points are singularities beyond which solutions are not continuable. In this article, we study two families of nonlinear electrical circuits, which can be represented by nonlinear Implicit Differential Equations. We set conditions that ensure the existence of impasse points in both families of circuits. In the literature, there exist general results to analyse the presence of such singularities in given differential equations of this type. However, the method proposed in this work allows detecting their existence in these electrical topologies in an extremely straightforward way, as illustrated by the examples of application.Fil: Kleiman, Diana Leonor. Universidad Nacional de La Plata. Facultad de Ingeniería. Departamento de Ciencias Básicas; ArgentinaFil: Etchechoury, María del Rosario. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Matemáticas; ArgentinaFil: Puleston, Pablo Federico. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Investigaciones en Electrónica, Control y Procesamiento de Señales. Universidad Nacional de La Plata. Instituto de Investigaciones en Electrónica, Control y Procesamiento de Señales; ArgentinaHindawi Publishing Corporation2018-03info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/93725Kleiman, Diana Leonor; Etchechoury, María del Rosario; Puleston, Pablo Federico; A Simple Method for Impasse Points Detection in Nonlinear Electrical Circuits; Hindawi Publishing Corporation; Mathematical Problems in Engineering; 2018; 3-2018; 1-71563-5147CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://www.hindawi.com/journals/mpe/2018/2613890/cta/info:eu-repo/semantics/altIdentifier/doi/10.1155/2018/2613890info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T09:55:35Zoai:ri.conicet.gov.ar:11336/93725instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-29 09:55:35.413CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv A Simple Method for Impasse Points Detection in Nonlinear Electrical Circuits
title A Simple Method for Impasse Points Detection in Nonlinear Electrical Circuits
spellingShingle A Simple Method for Impasse Points Detection in Nonlinear Electrical Circuits
Kleiman, Diana Leonor
implicit differential equation
nonlinear circuit singularity
impasse point
title_short A Simple Method for Impasse Points Detection in Nonlinear Electrical Circuits
title_full A Simple Method for Impasse Points Detection in Nonlinear Electrical Circuits
title_fullStr A Simple Method for Impasse Points Detection in Nonlinear Electrical Circuits
title_full_unstemmed A Simple Method for Impasse Points Detection in Nonlinear Electrical Circuits
title_sort A Simple Method for Impasse Points Detection 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 implicit differential equation
nonlinear circuit singularity
impasse point
topic implicit differential equation
nonlinear circuit singularity
impasse point
purl_subject.fl_str_mv https://purl.org/becyt/ford/2.2
https://purl.org/becyt/ford/2
dc.description.none.fl_txt_mv In a nonlinear system, impasse points are singularities beyond which solutions are not continuable. In this article, we study two families of nonlinear electrical circuits, which can be represented by nonlinear Implicit Differential Equations. We set conditions that ensure the existence of impasse points in both families of circuits. In the literature, there exist general results to analyse the presence of such singularities in given differential equations of this type. However, the method proposed in this work allows detecting their existence in these electrical topologies in an extremely straightforward way, as illustrated by the examples of application.
Fil: Kleiman, Diana Leonor. Universidad Nacional de La Plata. Facultad de Ingeniería. Departamento de Ciencias Básicas; Argentina
Fil: Etchechoury, María del Rosario. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Matemáticas; Argentina
Fil: Puleston, Pablo Federico. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Investigaciones en Electrónica, Control y Procesamiento de Señales. Universidad Nacional de La Plata. Instituto de Investigaciones en Electrónica, Control y Procesamiento de Señales; Argentina
description In a nonlinear system, impasse points are singularities beyond which solutions are not continuable. In this article, we study two families of nonlinear electrical circuits, which can be represented by nonlinear Implicit Differential Equations. We set conditions that ensure the existence of impasse points in both families of circuits. In the literature, there exist general results to analyse the presence of such singularities in given differential equations of this type. However, the method proposed in this work allows detecting their existence in these electrical topologies in an extremely straightforward way, as illustrated by the examples of application.
publishDate 2018
dc.date.none.fl_str_mv 2018-03
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/93725
Kleiman, Diana Leonor; Etchechoury, María del Rosario; Puleston, Pablo Federico; A Simple Method for Impasse Points Detection in Nonlinear Electrical Circuits; Hindawi Publishing Corporation; Mathematical Problems in Engineering; 2018; 3-2018; 1-7
1563-5147
CONICET Digital
CONICET
url http://hdl.handle.net/11336/93725
identifier_str_mv Kleiman, Diana Leonor; Etchechoury, María del Rosario; Puleston, Pablo Federico; A Simple Method for Impasse Points Detection in Nonlinear Electrical Circuits; Hindawi Publishing Corporation; Mathematical Problems in Engineering; 2018; 3-2018; 1-7
1563-5147
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://www.hindawi.com/journals/mpe/2018/2613890/cta/
info:eu-repo/semantics/altIdentifier/doi/10.1155/2018/2613890
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv Hindawi Publishing Corporation
publisher.none.fl_str_mv Hindawi Publishing Corporation
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 13.070432

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