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Stochastic resonance phenomenon induced by non-Gaussian L\'evy noise in a second-order bistable system is investigated. The signal-noise-ratio for different parameters is computed by an efficient numerical scheme. The influences of the…

Statistical Mechanics · Physics 2013-09-06 Yong Xu , Juanjuan Li , Jing Feng , Huiqing Zhang , Wei Xu , Jinqiao Duan

The occurrence of stochastic resonance in bistable systems undergoing anomalous diffusions, which arise from density-dependent fluctuations, is investigated with emphasis on the analytical formulation of the problem as well as a possible…

Statistical Mechanics · Physics 2021-03-16 F. Naha Nzoupe , Alain M. Dikande

We study an extended system that without noise shows a monostable dynamics, but when submitted to an adequate multiplicative noise, an effective bistable dynamics arise. The stochastic resonance between the attractors of the…

Statistical Mechanics · Physics 2009-11-10 B. von Haeften , G. Izús , S. Mangioni , A. D. Sánchez , H. S. Wio

There are three equivalent ways of representing two jointly observed real-valued signals: as a bivariate vector signal, as a single complex-valued signal, or as two analytic signals known as the rotary components. Each representation has…

Methodology · Statistics 2017-03-16 Adam M. Sykulski , Sofia C. Olhede , Jonathan M. Lilly , Jeffrey J. Early

We show that the dipole, a system usually proposed to model relaxation phenomena, exhibits a maximum in the signal-to-noise ratio at a non-zero noise level, thus indicating the appearance of stochastic resonance. The phenomenon occurs in…

Condensed Matter · Physics 2016-08-15 J. M. G. Vilar , A. Pérez-Madrid , J. M. Rubí

Here we present a simple stochastic threshold model consisting of a deterministic slowly decaying term and a fast stochastic noise term. The process shows a pseudo-resonance, in the sense that for small and large intensities of the noise…

Chaotic Dynamics · Physics 2011-06-08 Peter D. Ditlevsen , Holger Braun

Some systems cannot be predicted by classical theories and it is required the development of combined deterministic and stochastic theories that make used of noise for dynamical prediction. Noise is not always an interfering signal which…

Adaptation and Self-Organizing Systems · Physics 2019-05-14 Alexandra Pinto Castellanos

Stochastic resonance is a counter-intuitive concept[1,2], ; the addition of noise to a noisy system induces coherent amplification of its response. First suggested as a mechanism for the cyclic recurrence of ice ages, stochastic resonance…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 R. L. Badzey , P. Mohanty

The archetypal system demonstrating stochastic resonance is nothing more than a threshold triggered device. It consists of a periodic modulated input and noise. Every time an output crosses the threshold the signal is recorded. Such a…

Statistical Mechanics · Physics 2014-01-10 Krzysztof Szczepaniec , Bartlomiej Dybiec

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…

Statistical Mechanics · Physics 2009-11-11 Carlos Escudero

We investigate the resonance type behaviour of an overdamped Brownian particle in a bistable potential driven by external periodic signal. It has been shown previously that the input energy pumped into the system by the external drive shows…

Statistical Mechanics · Physics 2007-05-23 Debasis Dan , A. M. Jayannavar

Nonlinear dynamical systems possessing reflection symmetry have an invariant subspace in the phase space. The dynamics within the invariant subspace can be random or chaotic. As a system parameter changes, the motion transverse to the…

Chaotic Dynamics · Physics 2007-05-23 Changsong Zhou , C. -H. Lai

We discuss the effect of stochastic resonance in a simple model of magnetic reversals. The model exhibits statistically stationary solutions and bimodal distribution of the large scale magnetic field. We observe a non trivial amplification…

Chaotic Dynamics · Physics 2015-05-27 Roberto Benzi , Jean-Francois Pinton

Stochastic resonance shows that under some circumstances noise can enhance the response of a system to a periodic force. While this effect has been extensively investigated theoretically and demonstrated experimentally in classical systems,…

Quantum Physics · Physics 2009-11-06 S. F. Huelga , M. B. Plenio

The phenomenon of stochastic resonance (SR) is known to occur mostly in bistable systems. However, the question of occurrence of SR in periodic potential systems is not conclusively resolved. Our present numerical work shows that the…

Statistical Mechanics · Physics 2015-05-20 S. Saikia , A. M. Jayannavar , Mangal C. Mahato

We study the overdamped motion of a Brownian particle in a driven double-well system to understand various physical phenomena observed experimentally. These phenomena include hysteresis, stochastic resonance, and net unidirectional motion…

Condensed Matter · Physics 2015-06-25 Mangal C. Mahato , A. M. Jayannavar

On the basis of our mixed-signal simulations we report significant stochastic resonance induced input-output signal improvement in the double-well system for aperiodic input types. We used a pulse train with randomised pulse locations and a…

Data Analysis, Statistics and Probability · Physics 2009-11-11 R Mingesz , Z Gingl , P Makra

We study the effects of the confining conditions on the occurrence of stochastic resonance (SR) in continuous bistable systems. We model such systems by means of double-well potentials that diverge like the q-th power of |x| when |x| goes…

Statistical Mechanics · Physics 2015-05-13 Els Heinsalu , Marco Patriarca , Fabio Marchesoni

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…

Dynamical Systems · Mathematics 2023-09-22 Minjae Cho

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…

Condensed Matter · Physics 2016-08-15 J. M. G. Vilar , G. Gomila , J. M. Rubí