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Analysis of non-linear dynamical circuits and systems under the influence of thermal noise
Authors:L Finger  H Uhlmann
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.
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