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Proceedings Paper

Linear and nonlinear approximations for periodically driven bistable systems (Invited Paper)
Author(s): Alexander A. Dubkov; Bernardo Spagnolo; Davide Valenti
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Paper Abstract

We analyze periodically driven bistable systems by two different approaches. The first approach is a linearization of the stochastic Langevin equation of our system by the response on small external force. The second one is based on the Gaussian approximation of the kinetic equations for the cumulants. We obtain with the first approach the signal power amplification and output signal-to-noise ratio for a model piece-wise linear bistable potential and compare with the results of linear response approximation. By using the second approach to a bistable quartic potential, we obtain the set of nonlinear differential equations for the first and the second cumulants.

Paper Details

Date Published: 23 May 2005
PDF: 10 pages
Proc. SPIE 5845, Noise in Complex Systems and Stochastic Dynamics III, (23 May 2005); doi: 10.1117/12.609403
Show Author Affiliations
Alexander A. Dubkov, Nizhni Novgorod State Univ. (Russia)
Bernardo Spagnolo, INFM, Univ. di Palermo (Italy)
Davide Valenti, INFM, Univ. di Palermo (Italy)


Published in SPIE Proceedings Vol. 5845:
Noise in Complex Systems and Stochastic Dynamics III
Laszlo B. Kish; Katja Lindenberg; Zoltan Gingl, Editor(s)

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