ANALYSIS OF NONLINEAR DYNAMICAL CIRCUITS AND SYSTEMS UNDER THE INFLUENCE OF THERMAL NOISE

In some electronic systems, such as cryoelectronic circuits, random no ise has to be taken into consideration for modelling and simulation. A fter theoretical considerations an algorithm for the simulation of non -linear circuits with random noise is developed. Methods far global an alysis of non-linear dynamical systems, such as Lyapunov exponents and the Poincare map, are applied to systems with noise. The developed al gorithms are applied to the cryoelectronic circuit of the ideal DC-SQU ID model. Several non-linear effects which occur through noise are exp lained.