Two-state theory of nonlinear Stochastic Resonance

  • An amenable, analytical two-state description of the nonlinear population dynamics of a noisy bistable system driven by a rectangular subthreshold signal is put forward. Explicit expressions for the driven population dynamics, the correlation function (its coherent and incoherent part), the signal-to-noise ratio (SNR) and the Stochastic Resonance (SR) gain are obtained. Within a suitably chosen range of parameter values this reduced description yields anomalous SR-gains exceeding unity and, simultaneously, gives rise to a non-monotonic behavior of the SNR vs. the noise strength. The analytical results agree well with those obtained from numerical solutions of the Langevin equation.

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Author:Jesús Casado-PascualORCiD, José Gómez-Ordóñez, Manuel Morillo, Peter HänggiORCiDGND
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Publishing Institution:Universität Augsburg
Release Date:2006/09/08
Tag:Two-state theory; Stochastic Resonance; signal-to-noise ratio; Langevin equation
GND-Keyword:Stochastische Resonanz; Signal-Rausch-Abstand; Zwei-Niveau-System; Langevin-Gleichung
Source:erschienen in: Phys. Rev. Lett. 91, 210601 (2003); DOI: 10.1103/PhysRevLett.91.210601; URL: URL:
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