6533b861fe1ef96bd12c5011

RESEARCH PRODUCT

New analytical approach to analyze the nonlinear regime of stochastic resonance

Bernardo SpagnoloDavide ValentiAlexander A. Dubkov

subject

Mathematical optimizationSettore FIS/02 - Fisica Teorica Modelli E Metodi MatematiciCumulant truncation scheme; modified two-state approximation; nonlinear regime; signal power amplification; stochastic resonance phenomenon; Electrical and Electronic Engineering; Acoustics and UltrasonicsCumulant truncation schemeAcoustics and UltrasonicsTruncationStochastic resonanceGaussianSignalPower (physics)Langevin equationsymbols.namesakeNonlinear systemstochastic resonance phenomenonsymbolsStatistical physicssignal power amplificationElectrical and Electronic Engineeringmodified two-state approximationnonlinear regimeCumulantMathematics

description

We propose some approximate methods to explore the nonlinear regime of the stochastic resonance phenomenon. These approximations correspond to different truncation schemes of cumulants. We compare the theoretical results for the signal power amplification, obtained by using ordinary cumulant truncation schemes, that is Gaussian and excess approximations, the modified two-state approximation with those obtained by numerical simulations of the Langevin equation describing the dynamics of the system.

10.1109/icnf.2015.7288590http://hdl.handle.net/10447/205295