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Dykman M., Luchinsky D. G., Mannella R., McClintock P., Stein N., Stocks N. Stochastic resonance and its provenance. Izvestiya VUZ. Applied Nonlinear Dynamics, 1995, vol. 3, iss. 3, pp. 56-69.

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Russian
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Applied Problems of Nonlinear Oscillation and Wave Theory
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Article
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621.391.262: 621.391.822

Stochastic resonance and its provenance

Autors: 
Dykman Mark, Michigan State University
Luchinsky Dmitrii G., Lancaster University
Mannella Riccardo, University of Pisa
McClintock Peter Vaughan Elsmere, Lancaster University
Stein Norman, Lancaster University
Stocks Nigel, University of Warwick
Abstract: 

Stochastic resonance, in which the signal and/or signal/noise ratio in а nonlinear system can be enhanced by the addition of random fluctuations (noise) of appropriate intensity, is discussed. By revealing the relationship of stochastic resonance to earlier research, and especially to work by Debye in the 1920s, the phenomenon is set in а broad physical context. It is shown that the traditional techniques of statistical physics, for example linear response theory, are applicable to stochastic resonance and their implications for its range of occurrence are discussed.

Key words: 
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Acknowledgments: 
We are grateful to R. Landauer who draw our attention to the earlier research on anelastic relaxation in solids, and to А. Longtin and K. Wiesenfeld for valuable comments on an earlier version of е manuscript. One of us (MID) acknowledges support from Stanford University; (DGL) would like to acknowledge the hospitality of Lancaster University. The research was supported in part by the Science and Engineering Research Council (UK), by the Royal Society of London, by the European Community DGXII, and by the Ministry of Education and Science of Russia.
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Received: 
05.11.1994
Accepted: 
11.12.1995
Published: 
05.04.1996
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