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Relaxation times in a bistable system with parametric, white noise: Theory and experiment

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We consider the effects of external, multiplicative white noise on the relaxation time of a general representation of a bistable system from the points of view provided by two, quite different, theoretical approaches: the classical Stratonovich decoupling of correlations and the new method due to Jung and Risken. Experimental results, obtained from a bistable electronic circuit, are compared to the theoretical predictions. We show that the phenomenon of critical slowing down appears as a function of the noise parameters, thereby providing a correct characterization of a noise-induced transition.

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SANCHO, José M., et al. Relaxation times in a bistable system with parametric, white noise: Theory and experiment. Physical Review A. 1985. Vol. 32, num. 6, pags. 3639-3646. ISSN 1050-2947. [consulted: 30 of June of 2026]. Available at: https://hdl.handle.net/2445/9346

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