Stochastic resonance

By Catherine Rouvas-Nicolis, Gregoire Nicolis. Scholarpedia, 2007

2,892 citations recorded by the source corpus.

Stochastic resonance (SR) a counter-intuitive phenomenon in which the signal due to a weak periodic force in a nonlinear system can be enhanced by the addition of external noise is reviewed. A theoretical approach based on linear response theory (LRT) is described. It is pointed out that, although the LRT theory of SR is by definition restricted to the small signal limit, it possesses substantial advantages in terms of simplicity, generality and predictive power. The application of LRT to overdamped motion in a bistable potential, the most commonly studied form of SR, is outlined. Two new forms of SR, predicted on the basis of LRT and subsequently observed in analogue electronic experiments, are described.

Subfields: Molecular Biology

View Paper: https://www.semanticscholar.org/paper/25fbfe7e8196496d65dbb01aa4672179fd6d5c8f

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In Molecular Biology

Citations in the corpus

Noise-Induced Phenomena in the Environmental Sciences (2011, methodology): “However, when white Gaussian noise is not used the analytical methods for the calculation of 〈tc〉 become less straightforward (Gammaitoni et al., 1998).”
On the Approximation Quality of Markov State Models (2010, background): “Taking m = 1, it is indeed found that the projection error δ, with sets A1, A2 chosen as shown in Figure 1, also decreases exponentially with : As shown in [17], there is a 0 < v < ΔV such that δ ∝ exp(−v/ ).”
A Century of Gestalt Psychology in Visual Perception II. Conceptual and Theoretical Foundations (2012, background): “Kimchi, R., & Palmer, S. E. (1982). Form and texture in hierarchically constructed patterns.”