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We present a class of systems for which the signal-to-noise ratio as a function of the noise level may display a multiplicity of maxima. This phenomenon, referred to as stochastic multiresonance, indicates the possibility that periodic…

凝聚态物理 · 物理学 2016-08-15 J. M. G. Vilar , J. M. Rubí

The paradigm of stochastic resonance (SR)---the idea that signal detection and transmission may benefit from noise---has met with great interest in both physics and the neurosciences. We investigate here the consequences of reducing the…

生物物理 · 物理学 2009-11-06 Hans E. Plesser , Theo Geisel

Stochastic resonance is a non-linear phenomenon, in which the sensitivity of signal detectors can be enhanced by adding random noise to the detector input. Here, we demonstrate that noise can also improve the information flux in recurrent…

神经元与认知 · 定量生物学 2018-11-30 Patrick Krauss , Karin Prebeck , Achim Schilling , Claus Metzner

We have analyzed the effects of the addition of external noise to non-dynamical systems displaying intrinsic noise, and established general conditions under which stochastic resonance appears. The criterion we have found may be applied to a…

凝聚态物理 · 物理学 2016-08-15 J. M. G. Vilar , G. Gomila , J. M. Rubí

Stochastic resonance holds much promise for the detection of weak signals in the presence of relatively loud noise. Following the discovery of nondynamical and of aperiodic stochastic resonance, it was recently shown that the phenomenon can…

凝聚态物理 · 物理学 2009-10-31 Redouane Fakir

In this paper I will review some basic aspects of the mechanism of stochastic resonance. Stochastic resonance was first introduced as a possible mechanism to explain long term climatic variation. Since then, there have been many…

混沌动力学 · 物理学 2017-08-23 Roberto Benzi

Systems showing stochastic resonance (SR) or coherent resonance (CR) share some features, in particular the nearby periodic character of the signal. We show that in spite of this resemblance the different underlying dynamics can be detected…

混沌动力学 · 物理学 2009-11-11 R. Centurelli , S. Musacchio , R. A. Pasmanter , A. Vulpiani

We investigate the stochastic resonance phenomenon in a physical system based on a tunnel diode. The experimental control parameters are set to allow the control of the frequency and amplitude of the deterministic modulating signal over an…

统计力学 · 物理学 2009-10-31 Rosario N. Mantegna , Bernardo Spagnolo , Marco Trapanese

The concept of stochastic resonance in nonlinear dynamics is applied to interpret the capacity of noisy quantum channels. The two-Pauli channel is used to illustrate the idea. The fidelity of the channel is also considered. Noise…

量子物理 · 物理学 2008-12-18 Julian Juhi-Lian Ting

Stochastic resonance (SR) - a counter-intuitive phenomenon in which the signal due to a weak periodic force in a nonlinear system can be {\it enhanced} by the addition of external noise - is reviewed. A theoretical approach based on linear…

Stochastic and coherence resonances appear in nonlinear systems subjected to an external source of noise and are characterized by a maximum response at the optimal value of the noise intensity. This paper shows experimentally that it is…

凝聚态物理 · 物理学 2016-08-31 O. Calvo , I. Gomes , C. R. Mirasso , R. Toral

We study a reaction model that presents stochastic resonance purely due to internal noise. This means that the only source of fluctuations comes from the discrete character of the reactants, and no more noises enter into the system. Our…

统计力学 · 物理学 2009-11-11 Carlos Escudero

Stochastic resonance is a phenomenon where a noise of appropriate intensity enhances the input signal strength. In this work, by employing the recently developed convex optimization methods in the context of dynamical systems and stochastic…

动力系统 · 数学 2023-09-22 Minjae Cho

The coherent stochastic resonance is observed and studied with multi-step periodic signal in continuous medium having two absorbing boundaries. The general features of this process are exihibited. The universal features at the resonance…

凝聚态物理 · 物理学 2009-10-31 Asish K. Dhara , Tapan Mukhopadhyay

The phenomenon of Stochastic Resonance (SR) is reported in a completely noise-free situation, with the role of thermal noise being taken by low-dimensional chaos. A one-dimensional, piecewise linear map and a pair of coupled…

chao-dyn · 物理学 2009-10-31 Sitabhra Sinha

We discuss stochastic resonance (SR) effects in driven coupled quantum systems. We construct dynamical and information theoretic measures of the system's response that exhibit a non-monotonic behaviour as a function of the noise strength.…

量子物理 · 物理学 2013-05-29 Susana Huelga , Martin Plenio

Can noise be beneficial to machine-learning prediction of chaotic systems? Utilizing reservoir computers as a paradigm, we find that injecting noise to the training data can induce a stochastic resonance with significant benefits to both…

机器学习 · 计算机科学 2022-11-21 Zheng-Meng Zhai , Ling-Wei Kong , Ying-Cheng Lai

The phenomenon of stochastic resonance (SR) has been mainly studied in one-dimensional systems with additive noise. We show that in higher dimensional systems and in the presence of multiplicative noise, a non-linear magnetic system with a…

材料科学 · 物理学 2007-05-23 A. Rebei

The paper "The Stochastic Nonlinear Schr\"odinger Equation in $H^{1}$" \cite{debouard2003} gives an existence proof for a stochastic nonlinear Schr\"odinger equation with multiplicative noise. We point out two mistakes that draw the…

概率论 · 数学 2012-02-28 Torquil Macdonald Sørensen

We demonstrate the phenomenon of stochastic resonance (SR) for discrete-time dynamical systems. We investigate various systems that are not necessarily bistable, but do have two well defined states, switching between which is aided by…

chao-dyn · 物理学 2009-10-30 Prashant M. Gade , Renuka Rai , Harjinder Singh
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