A simple method for impasse points detection in nonlinear electrical circuits
type: Item
instance of: scholarly article
title: A simple method for impasse points detection in nonlinear electrical circuits
zbMATH Open document ID: 1426.94169
DOI: 10.1155/2018/2613890
author: Diana Leonor Kleiman
author: María del Rosario Etchechoury
author: Paul Puleston
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 94C05
Mathematics Subject Classification ID: 34A09
Mathematics Subject Classification ID: 94A13
Mathematics Subject Classification ID: 34D10
zbMATH DE Number: 7018674
Wikidata QID: Q67661070
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/2613890
OpenAlex ID: W2790623768
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description: scientific article; zbMATH DE number 7018674