A numerical approach for nonlinear dynamical circuits with jumps

A special class of nonlinear electronic circuits exhibits jump effects which occurs e.g. when the state space of an electronic system contains a fold. This can lead to difficulties during the simulation of these systems with standard circuit simulators. A common treatment to overcome these problems is to regularise these systems by adding suitably located parasitic inductors L´s and capacitors C´s. We propose a geometric approach and derive methods for solving circuit equations by means of algorithms from computational differential geometry. In this paper the geometric methods will be applied to an electronic multivibrator and numerical results will be presented.