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Minireview of stochastic resonance
Chaos, 1998We present an introductory overview of the subject of stochastic resonance. As researchers’ interest in the phenomenon has spread from physics to biology, new questions both fundamental and practical have emerged. After reviewing some key aspects of the subject, we describe a promising candidate for exploring the possible beneficial effects of random ...
Kurt Wiesenfeld
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Multiplicative stochastic resonance
Physical Review E, 1994A multiplicative bistable stochastic system perturbed by a periodic forcing term is shown to exhibit stochastic resonance with increasing intensity of the multiplicative noise. Such an effect is related to the phenomenon of stochastic stabilization, which takes place in the unperturbed system.
GAMMAITONI, Luca +3 more
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Aperiodic stochastic resonance
Physical Review E, 1996Stochastic 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)]
, Collins, , Chow, , Capela, , Imhoff
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Energetics of stochastic resonance
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2011In this paper, we discuss the motion of a Brownian particle in a double-well potential driven by a periodic force in terms of energies delivered by the periodic and the noise forces and energy dissipated into the viscous environment. It is shown that, while the power delivered by the periodic force to the Brownian particle is controlled by the strength
P. Jung, MARCHESONI, Fabio
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Analysis of stochastic resonances
Physical Review E, 2003We investigate the one-dimensional diffusion of a particle in a piecewise linear potential superimposed with a step of a harmonically modulated height. Employing the matching conditions, we solve the corresponding Fokker-Planck equation and we analyze nonlinear features of the particle's mean position as a function of time.
Petr, Chvosta, Peter, Reineker
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Proceedings of the IEEE, 1998
This paper shows how adaptive systems can learn to add an optimal amount of noise to some nonlinear feedback systems. This "stochastic resonance" (SR) effect occurs in a wide range of physical and biological systems. The noise energy can enhance the faint periodic signals or faint broadband signals that force the dynamical systems.
Sanya Mitaim, Bart Kosko
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This paper shows how adaptive systems can learn to add an optimal amount of noise to some nonlinear feedback systems. This "stochastic resonance" (SR) effect occurs in a wide range of physical and biological systems. The noise energy can enhance the faint periodic signals or faint broadband signals that force the dynamical systems.
Sanya Mitaim, Bart Kosko
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Theory of stochastic resonance
Physical Review A, 1989The concept of stochastic resonance has been introduced previously to describe a curious phenomenon in bistable systems subject to both periodic and random forcing: an increase in the input noise can result in an improvement in the output signal-to-noise ratio. In this paper we present a detailed theoretical and numerical study of stochastic resonance,
, McNamara, , Wiesenfeld
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Stochastic resonance in the brain
Systems and Computers in Japan, 2004AbstractThis paper investigates the existence of stochastic resonance (SR) in the human brain, based on the noise effect of the α‐wave. In order to show clear evidence of the SR phenomenon in the central nervous system, the measurement was carried out under the following conditions; the periodic and noisy light stimuli are respectively applied to the ...
Toshio Mori, Shoichi Kai
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Physical Review Letters, 2000
We report the effect of doubly stochastic resonance which appears in nonlinear extended systems if the influence of noise is twofold: A multiplicative noise induces bimodality of the mean field of the coupled network and an independent additive noise governs the dynamic behavior in response to small periodic driving.
Zaikin, Alexei A. +2 more
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We report the effect of doubly stochastic resonance which appears in nonlinear extended systems if the influence of noise is twofold: A multiplicative noise induces bimodality of the mean field of the coupled network and an independent additive noise governs the dynamic behavior in response to small periodic driving.
Zaikin, Alexei A. +2 more
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Stochastic Resonance and Crises
Physical Review Letters, 1993Stochastic resonance is a phenomenon seen in multistable systems where the addition of noise to the system can amplify small periodic signals. We show in an experiment with a circuit that many of the concepts used to describe crises may also be used to describe stochastic resonance.
, Carroll, , Pecora
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