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Analysis of stochastic resonances

Physical Review E, 2003
We 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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Stochastic Resonance

2008
Stochastic resonance has been observed in many forms of systems, and has been hotly debated by scientists for over 30 years. Applications incorporating aspects of stochastic resonance may yet prove revolutionary in fields such as distributed sensor networks, nano-electronics, and biomedical prosthetics.
McDonnell, M.   +3 more
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Adaptive stochastic resonance

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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Theory of stochastic resonance

Physical Review A, 1989
The 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, 2004
AbstractThis 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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Doubly Stochastic Resonance

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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Stochastic Resonance and Crises

Physical Review Letters, 1993
Stochastic 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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Quantum stochastic resonance

Physical Review Letters, 1994
We demonstrate that stochastic resonance, where an increase in the noise acting on a nonlinear dynamical system increases the signal-to-noise ratio describing the response to periodic driving, can occur in quantum systems as well as classical ones.
, Löfstedt, , Coppersmith
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Stochastic resonance as crisis

Physical Review E, 1994
Based on approximate methods of nonlinear oscillations and experimental studies, we show the evidence that stochastic resonance in Duffing's equation can be considered as an example of crisis.
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Remarks on stochastic resonance

Physical Review A, 1989
A recent and interesting experimental paper [B. McNamara, K. Wiesenfeld, and R. Roy, Phys. Rev. Lett. 60, 2626 (1988)] has refocused attention on the problem of stochastic resonance by presenting measurements of the singal-to-noise ratio (SNR) of a noise driven, periodically modulated bistable ring laser.
, Debnath, , Zhou, , Moss
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