A Simple Method for Impasse Points Detection in Nonlinear Electrical Circuits

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 p...

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Autores principales: Kleiman, Diana Leonor, Etchechoury, María del Rosario, Puleston, Pablo Federico
Formato: Articulo
Lenguaje:Inglés
Publicado: 2018
Materias:
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/81065
Aporte de:
id I19-R120-10915-81065
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Ingeniería
electrical circuits
impasse points
spellingShingle Ingeniería
electrical circuits
impasse points
Kleiman, Diana Leonor
Etchechoury, María del Rosario
Puleston, Pablo Federico
A Simple Method for Impasse Points Detection in Nonlinear Electrical Circuits
topic_facet Ingeniería
electrical circuits
impasse points
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.
format Articulo
Articulo
author Kleiman, Diana Leonor
Etchechoury, María del Rosario
Puleston, Pablo Federico
author_facet Kleiman, Diana Leonor
Etchechoury, María del Rosario
Puleston, Pablo Federico
author_sort Kleiman, Diana Leonor
title A Simple Method for Impasse Points Detection in Nonlinear Electrical Circuits
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 simple method for impasse points detection in nonlinear electrical circuits
publishDate 2018
url http://sedici.unlp.edu.ar/handle/10915/81065
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