2013/06/17 by Krzysztof Szczepaniec, Bartłomiej Dybiec, Bartlomiej Dybiec
Neuroscience · Physics and Astronomy · #Action (physics) #Advanced Thermodynamics and Statistical Mechanics #Gaussian noise #Neural dynamics and brain function #Noise (video) #Periodic function #Resonance (particle physics) #SIGNAL (programming language) #Stochastic process #Stochastic resonance #cond-mat.stat-mech #stochastic dynamics and bifurcation
paper · pdf · doi:10.1140/epjb/e2013-40619-8
published as Eur. Phys. J. B 86 468 (2013) · 5 pages, 6 figurures
arxiv created 2013/06/17 · openalex publication_date 2013/11/01 · arxiv updated 2014/01/10 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The classical model revealing stochastic resonance is a motion of an overdamped particle in a double-well fourth order potential when combined action of noise and external periodic driving results in amplifying of weak signals. Resonance behavior can also be observed in non-dynamical systems. The simplest example is a threshold triggered device. It consists of a periodic modulated input and noise. Every time an output crosses the threshold the signal is recorded. Such a digitally filtered signal is sensitive to the noise intensity. There exists the optimal value of the noise intensity resulting in the “most” periodic output. Here, we explore properties of the non-dynamical stochastic resonance in non-equilibrium situations, i.e. when the Gaussian noise is replaced by an α-stable noise. We demonstrate that non-equilibrium α-stable noises, depending on noise parameters, can either weaken or enhance the non-dynamical stochastic resonance.