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.
Facultad de Ingeniería (FI)
Facultad de Ciencias Exactas
Instituto de Investigaciones en Electrónica, Control y Procesamiento de Señales (LEICI)
Materia
Ingeniería
electrical circuits
impasse points
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by/3.0/
Repositorio
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/81065

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spelling A Simple Method for Impasse Points Detection in Nonlinear Electrical CircuitsKleiman, Diana LeonorEtchechoury, María del RosarioPuleston, Pablo FedericoIngenieríaelectrical circuitsimpasse pointsIn 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.Facultad de Ingeniería (FI)Facultad de Ciencias ExactasInstituto de Investigaciones en Electrónica, Control y Procesamiento de Señales (LEICI)2018info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfhttp://sedici.unlp.edu.ar/handle/10915/81065enginfo:eu-repo/semantics/altIdentifier/issn/1563-5147info:eu-repo/semantics/altIdentifier/doi/10.1155/2018/2613890info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by/3.0/Creative Commons Attribution 3.0 Unported (CC BY 3.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-09-29T11:15:01Zoai:sedici.unlp.edu.ar:10915/81065Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-29 11:15:01.895SEDICI (UNLP) - Universidad Nacional de La Platafalse
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
Ingeniería
electrical circuits
impasse points
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 Ingeniería
electrical circuits
impasse points
topic Ingeniería
electrical circuits
impasse points
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.
Facultad de Ingeniería (FI)
Facultad de Ciencias Exactas
Instituto de Investigaciones en Electrónica, Control y Procesamiento de Señales (LEICI)
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
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Articulo
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dc.language.none.fl_str_mv eng
language eng
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info:eu-repo/semantics/altIdentifier/doi/10.1155/2018/2613890
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Creative Commons Attribution 3.0 Unported (CC BY 3.0)
dc.format.none.fl_str_mv application/pdf
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repository.name.fl_str_mv SEDICI (UNLP) - Universidad Nacional de La Plata
repository.mail.fl_str_mv alira@sedici.unlp.edu.ar
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