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Response of a cubic bistable system to parametric modulation in the extreme colour limits of external noise

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We examine the possibility of fluctuation induced transitions in a cubic bistable electronic circuit. Soft transitions are found to occur in the presence of a dichotomous modulation, but appear to be absent when the system is subject to a harmonic modulation. Despite these differences, the behaviours of the supports of the probability densities arising in the two cases are rather similar. In particular they each exhibit an anomaly over a limited range of the amplitude of fluctuation V0, over which the supports shrink as V0 increases.

Bibliographic note

Proceedings of the International Conference on Noise in Physical Systems and 1/f Noise, Rome, 1985.