Subthreshold Stochastic Resonance: Rectangular signals can cause anomalous large gains

  • The main objective of this work is to explore aspects of stochastic resonance (SR) in noisy bistable, symmetric systems driven by subthreshold periodic rectangular external signals possessing a large duty cycle of unity. Using a precise numerical solution of the Langevin equation, we carry out a detailed analysis of the behavior of the first two cumulant averages, the correlation function and its coherent and incoherent parts. We also depict the non-monotonic behavior versus the noise strength of several SR quantifiers such as the average output amplitude, i.e. the spectral amplification (SPA), the signal-to-noise ratio (SNR) and the SR-gain. In particular, we find that with subthreshold amplitudes and for an appropriate duration of the pulses of the driving force the phenomenon of stochastic resonance (SR), is accompanied by SR-gains exceeding unity. This analysis thus sheds new light onto the interplay between nonlinearity and the nonlinear response which in turn yields nontrivial,The main objective of this work is to explore aspects of stochastic resonance (SR) in noisy bistable, symmetric systems driven by subthreshold periodic rectangular external signals possessing a large duty cycle of unity. Using a precise numerical solution of the Langevin equation, we carry out a detailed analysis of the behavior of the first two cumulant averages, the correlation function and its coherent and incoherent parts. We also depict the non-monotonic behavior versus the noise strength of several SR quantifiers such as the average output amplitude, i.e. the spectral amplification (SPA), the signal-to-noise ratio (SNR) and the SR-gain. In particular, we find that with subthreshold amplitudes and for an appropriate duration of the pulses of the driving force the phenomenon of stochastic resonance (SR), is accompanied by SR-gains exceeding unity. This analysis thus sheds new light onto the interplay between nonlinearity and the nonlinear response which in turn yields nontrivial, unexpected SR-gains above unity.show moreshow less

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Metadaten
Author:Jesús Casado-PascualORCiD, José Gómez-Ordóñez, Manuel Morillo, Peter HänggiORCiDGND
URN:urn:nbn:de:bvb:384-opus4-2991
Frontdoor URLhttps://opus.bibliothek.uni-augsburg.de/opus4/365
Type:Preprint
Language:English
Publishing Institution:Universität Augsburg
Release Date:2006/09/11
Tag:stochastic processes; resonance; higher order statistics
GND-Keyword:Stochastische Resonanz; Signal-Rausch-Abstand; Langevin-Gleichung
Source:erschienen in: Phys. Rev. E 68, 061104 (2003); DOI: 10.1103/PhysRevE.68.061104; URL: http://link.aps.org/abstract/PRE/v68/e061104
DOI:https://doi.org/10.1103/PhysRevE.68.061104
Institutes:Mathematisch-Naturwissenschaftlich-Technische Fakultät
Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Physik
Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Physik / Lehrstuhl für Theoretische Physik I
Dewey Decimal Classification:5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik