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.
| Author: | Jesús Casado-PascualORCiD, José Gómez-Ordóñez, Manuel Morillo, Peter HänggiORCiDGND |
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| URN: | urn:nbn:de:bvb:384-opus4-2978 |
| Frontdoor URL | https://opus.bibliothek.uni-augsburg.de/opus4/363 |
| Type: | Preprint |
| Language: | English |
| Date of Publication (online): | 2006/09/08 |
| Publishing Institution: | Universität Augsburg |
| Release Date: | 2006/09/08 |
| Tag: | Langevin equation; Stochastic Resonance; Two-state theory; signal-to-noise ratio |
| 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: http://link.aps.org/abstract/PRL/v91/e210601 |
| 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 |
| Licence (German): |  Deutsches Urheberrecht |
