Abstract
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.
Highlights
A Simple Method for Impasse Points Detection in Nonlinear Electrical CircuitsImpasse points are singularities beyond which solutions are not continuable
Implicit Differential Equations appear frequently while modelling different physical systems in many areas
We study two families of nonlinear electrical circuits, which can be represented by nonlinear Implicit Differential Equations
Summary
Impasse points are singularities beyond which solutions are not continuable. 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. There exist general results to analyse the presence of such singularities in given differential equations of this type. 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
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