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Related papers: System Size Stochastic Resonance from the Viewpoin…

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We study the phenomenon of system size stochastic resonance within the nonequilibrium potential's framework. We analyze three different cases of spatially extended systems, exploiting the knowledge of their nonequilibrium potential, showing…

Statistical Mechanics · Physics 2009-11-11 B. von Haeften , G. Izus , H. S. Wio

We study an extended system that without noise shows a spatially homogeneous state, but when submitted to an adequate multiplicative noise, some "noise-induced patterns" arise. The stochastic resonance between these structures is…

Pattern Formation and Solitons · Physics 2013-05-29 B. von Haeften , G. Izús , S. Mangioni , A. D. Sánchez , H. S. Wio

The global response to weak time periodic forces of an array of noisy, coupled nonlinear systems might show a nonmonotonic dependence on the number of units in the array. This effect has been termed system size stochastic resonance. In this…

Statistical Mechanics · Physics 2009-05-28 José Gómez-Ordóñez , José M. Casado , Manuel Morillo

Previous works have shown numerically that the response of a ``stochastic resonator'' is enhanced as a consequence of spatial coupling. Also, similar results have been obtained in a reaction-diffusion model by studying the phenomenon of…

Statistical Mechanics · Physics 2009-11-07 H. S. Wio , S. Bouzat , B. von Haeften

We analyze several aspects of the phenomenon of stochastic resonance in reaction-diffusion systems, exploiting the nonequilibrium potential's framework. The generalization of this formalism (sketched in the appendix) to extended systems is…

Statistical Mechanics · Physics 2016-08-14 Horacio S. Wio , Roberto R. Deza

Stochastic resonance (SR) is a prominent phenomenon in many natural and engineered noisy system, whereby the response to a periodic forcing is greatly amplified when the intensity of the noise is tuned to within a specific range of values.…

Statistical Mechanics · Physics 2019-12-25 Valerio Lucarini

The main objective of this work is to explore aspects of stochastic resonance (SR) in noisy bistable, symmetric systems driven by subthreshold periodic rectangular external signals possessing a large duty cycle of unity. Using a precise…

Statistical Mechanics · Physics 2016-08-16 Jesús Casado-Pascual , José Gómez-Ordóñez , Manuel Morillo , Peter Hänggi

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 · Physics 2009-10-30 Prashant M. Gade , Renuka Rai , Harjinder Singh

We propose a method to analytically show the possibility for the appearance of a maximum in the signal-to-noise ratio in nonpotential systems. We apply our results to the FitzHugh-Nagumo model under a periodic external forcing, showing that…

Condensed Matter · Physics 2009-10-31 T. Alarcon , A. Perez-Madrid , J. M. Rubi

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

We study the phenomenon of nonlinear stochastic resonance (SR) in a complex noisy system formed by a finite number of interacting subunits driven by rectangular pulsed time periodic forces. We find that very large SR gains are obtained for…

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

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…

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

We exploit the knowledge of the nonequilibrium potential in a model for the modulated class A laser. We analyse both, the deterministic and the stochastic dynamics of such a system in terms of the Lyapunov potential. Furthermore, we analyse…

Statistical Mechanics · Physics 2018-07-04 C. Mayol , R. Toral , H. S. Wio

It is by now established that, remarkably, the addition of noise to a nonlinear system may sometimes facilitate, rather than hamper the detection of weak signals. This phenomenon, usually referred to as stochastic resonance, was originally…

Condensed Matter · Physics 2009-10-31 Redouane Fakir

We demonstrate the existence of stochastic resonance (SR) in confined systems arising from entropy variations associated to the presence of irregular boundaries. When the motion of a Brownian particle is constrained to a region with uneven…

Statistical Mechanics · Physics 2009-06-05 P. S. Burada , G. Schmid , D. Reguera , J. M. Rubi , P. Hänggi

We consider an ensemble of coupled nonlinear noisy oscillators demonstrating in the thermodynamic limit an Ising-type transition. In the ordered phase and for finite ensembles stochastic flips of the mean field are observed with the rate…

Statistical Mechanics · Physics 2009-11-07 A. Pikovsky , A. Zaikin , M. A. de la Casa

The present paper is devoted to the study of resonances for one-dimensional quantum systems with a potential that is the restriction to some large box of an ergodic potential. For discrete models both on a half-line and on the whole line,…

Mathematical Physics · Physics 2016-06-22 Frédéric Klopp

We study the mobility of an overdamped particle in a periodic potential tilted by a constant force. The mobility exhibits a stochastic resonance in inhomogeneous systems with space dependent friction coefficient. The result indicates that…

Statistical Mechanics · Physics 2009-10-31 Debasis Dan , Mangal. C. Mahato , A. M. Jayannavar

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
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