Abstract: | In some electronic systems, such as cryoelectronic circuits, random noise has to be taken into consideration for modelling and simulation. After theoretical considerations an algorithm for the simulation of non-linear circuits with random noise is developed. Methods for global analysis of non-linear dynamical systems, such as Lyapunov exponents and the Poincaré map, are applied to systems with noise. the developed algorithms are applied to the cryoelectronic circuit of the ideal DC-SQUID model. Several non-linear effects which occur through noise are explained. |