Singularity crossing phenomena in nonlinear electrical circuits

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 en...

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Autores principales: Kleiman, Diana Leonor, Etchechoury, María del Rosario, Puleston, Pablo Federico
Formato: Objeto de conferencia
Lenguaje:Inglés
Publicado: 2017
Materias:
Matemática
Implicit differential equation
Nonlinear circuit
Singularity
Singular crossing point
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/81879
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-81879
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Matemática
Implicit differential equation
Nonlinear circuit
Singularity
Singular crossing point
spellingShingle Matemática
Implicit differential equation
Nonlinear circuit
Singularity
Singular crossing point
Kleiman, Diana Leonor
Etchechoury, María del Rosario
Puleston, Pablo Federico
Singularity crossing phenomena in nonlinear electrical circuits
topic_facet Matemática
Implicit differential equation
Nonlinear circuit
Singularity
Singular crossing point
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.
format Objeto de conferencia
Objeto de conferencia
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 Singularity crossing phenomena in nonlinear electrical circuits
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
publishDate 2017
url http://sedici.unlp.edu.ar/handle/10915/81879
work_keys_str_mv AT kleimandianaleonor singularitycrossingphenomenainnonlinearelectricalcircuits
AT etchechourymariadelrosario singularitycrossingphenomenainnonlinearelectricalcircuits
AT pulestonpablofederico singularitycrossingphenomenainnonlinearelectricalcircuits
bdutipo_str Repositorios
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