A simple method for impasse points detection in nonlinear electrical circuits

D.KLEIMAN; M.ETCHECHOURY; PULESTON P.F.

MATHEMATICAL PROBLEMS IN ENGINEERING

HINDAWI PUBLISHING CORPORATION

Lugar: New York; Año: 2018

1024-123X

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, that can be represented by nonlinear Implicit Differential Equations. We set conditions that ensure the existence of impasse points in both families of circuits. There are general approachs to this problem for a given Implicit differential Equation, but the results we get for these families of circuits allowus to nd these points in an extremely simple way. The results are illustrated in concrete examples.