Analysis of jump behavior in nonlinear electronic circuits using computational geometric methods

It will seek the difficult problem of analysis of operating points of nonlinear electronic circuits, a novel methodical manner. In this work we describe the behavior of electrical circuits by a mixture of algebraic and differential equations. We show how to use a geometric interpretation and geometric algorithms to explicitly compute operation points for a special class of electronic circuits. We demonstrate this using the Van-Der-Pol-Oscillator in two different examples. To that end, we discuss how to trace curves on folded manifolds and show the problem on a suitable representation.