The negative differential resistance of a strong electric double layer in connection with an external inductive current circuit can give rise to large, self excited oscillations [1]. Here an experimental investigations of these oscillations at low oscillation frequencies and weak nonlinearity is presented. The oscillation exists only in a finite interval of dc double layer voltages, closely connected to the interval of negative damping. The amplitude characteristics show a transition from continuous profiles, similar to that of the classical van der Pol oscillator, to characteristics containing a hysteresis. Their shape and the appearance of the hysteresis phenomenon can quantitatively be explained from asymptotic solutions of the circuit equation, which is a generalized van der Pol equation with a small nonlinear damping term. The material presented here has been published in Ref. [2].