Aperiodic stochastic resonance

J. J. Collins, Carson C. Chow, Ann C. Capela, and Thomas T. Imhoff
Phys. Rev. E 54, 5575 – Published 1 November 1996
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Abstract

Stochastic resonance (SR) is a phenomenon wherein the response of a nonlinear system to a weak periodic input signal is optimized by the presence of a particular level of noise. Recently, we presented a method and theory for characterizing SR-type behavior in excitable systems with aperiodic (i.e., broadband) input signals [Phys. Rev. E 52, R3321(1995)]. We coined the term aperiodic stochastic resonance (ASR) to describe this general type of behavior. In that earlier study, we demonstrated ASR in the FitzHugh-Nagumo neuronal model. Here we demonstrate ASR in three additional systems: a bistable-well system, an integrate-and-fire neuronal model, and the Hodgkin-Huxley (HH) neuronal model. We present computational and theoretical results for each system. In the context of the HH model, we develop a general theory for ASR in excitable membranes. This work clearly shows that SR-type behavior is not limited to systems with periodic inputs. Thus, in general, noise can serve to enhance the response of a nonlinear system to a weak input signal, regardless of whether the signal is periodic or aperiodic. © 1996 The American Physical Society.

  • Received 17 June 1996

DOI:https://doi.org/10.1103/PhysRevE.54.5575

©1996 American Physical Society

Authors & Affiliations

J. J. Collins, Carson C. Chow, Ann C. Capela, and Thomas T. Imhoff

  • NeuroMuscular Research Center, Boston University, 44 Cummington Street, Boston, Massachusetts 02215
  • Department of Biomedical Engineering, Boston University, 44 Cummington Street, Boston, Massachusetts 02215

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Vol. 54, Iss. 5 — November 1996

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