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The transduction process that occurs in the inner ear of the auditory system is a complex mechanism which requires a non-linear dynamical description. In addition to this, the stochastic phenomena that naturally arise in the inner ear…

Physics Education · Physics 2022-01-17 Francesco Veronesi , Edoardo Milotti

We show the appearance of spatiotemporal stochastic resonance in the Swift-Hohenberg equation. This phenomenon emerges when a control parameter varies periodically in time around the bifurcation point. By using general scaling arguments and…

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

Stochastic resonance (SR) is a coherence enhancement effect due to noise that occurs in periodically-driven nonlinear dynamical systems. A very broad range of physical and biological systems present this effect such as climate change,…

Pattern Formation and Solitons · Physics 2021-06-08 Adriano A. Batista , A. A. Lisboa de Souza , Raoni S. N. Moreira

The influence that intrinsic local density fluctuations can have on solutions of mean-field reaction-diffusion models is investigated numerically by means of the spatial patterns arising from two species that react and diffuse in the…

Other Condensed Matter · Physics 2007-05-23 D. Hochberg , M. -P. Zorzano , F. Moran

We report the first experimental observation of noise-free stochastic resonance by utilizing the intrinsic chaotic dynamics of the system. To this end we have investigated the effect of an external periodic modulation on intermittent…

chao-dyn · Physics 2009-10-30 Ekkehard Reibold , Wolfram Just , Hartmut Benner

We study hysteresis for a two-dimensional, spin-1/2, nearest-neighbor, kinetic Ising ferromagnet in an oscillating field, using Monte Carlo simulations and analytical theory. Attention is focused on small systems and weak field amplitudes…

Materials Science · Physics 2009-10-30 S. W. Sides , P. A. Rikvold , M. A. Novotny

We present a simple dynamical model to address the question of introducing a stochastic nature in a time variable. This model includes noise in the time variable but not in the "space" variable, which is opposite to the normal description…

Computational Physics · Physics 2008-11-26 Toru Ohira

Based on the physics of stochastic processes we present a new approach for structural health monitoring. We show that the new method allows for an in-situ analysis of the elastic features of a mechanical structure even for realistic…

Data Analysis, Statistics and Probability · Physics 2013-01-08 Philip Rinn , Hendrik Heißelmann , Matthias Wächter , Joachim Peinke

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 result of 2-dimensional Gaussian lattice fit to a speckle intensity pattern based on a linear model that includes nearest-neighbor interactions is presented. We also include a Monte Carlo simulation of the same spatial speckle pattern…

Optics · Physics 2012-11-13 John R. Smith , J. J. Llovera-Gonzalez , Stephen P. Smith

Many physical, chemical and biological processes rely on intrinsic oscillations to employ resonance responses to external stimuli of certain frequency. Such resonance phenomena in biological systems are typically explained by one of two…

Varied sensory systems use noise in order to enhance detection of weak signals. It has been conjectured in the literature that this effect, known as stochastic resonance, may take place in central cognitive processes such as the memory…

Neurons and Cognition · Quantitative Biology 2007-05-23 Julien Mayor , Wulfram Gerstner

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…

Neurons and Cognition · Quantitative Biology 2018-11-30 Patrick Krauss , Karin Prebeck , Achim Schilling , Claus Metzner

We study the role of multiplicative colored noise for different values of the correlation time $\tau_c$ in the dynamics of two competing species, described by generalized Lotka-Volterra equations. The multiplicative colored noise models the…

Statistical Mechanics · Physics 2007-05-23 D. Valenti , A. Fiasconaro , B. Spagnolo

Statistical models provide a powerful and useful class of approximations for calculating reaction rates by bypassing the need for detailed, and often difficult, dynamical considerations. Such approaches invariably invoke specific…

Chemical Physics · Physics 2020-04-01 Sourav Karmakar , Pankaj Kumar Yadav , Srihari Keshavamurthy

We quantify the effect of Gaussian white noise on fast--slow dynamical systems with one fast and two slow variables, which display mixed-mode oscillations owing to the presence of a folded-node singularity. The stochastic system can be…

Dynamical Systems · Mathematics 2015-03-06 Nils Berglund , Barbara Gentz , Christian Kuehn

In a system of non-linear chemical reactions called the Brusselator, we show that {\it intrinsic noise} can be regulated to drive it to exhibit resonance in the presence of a sub-threshold signal. The phenomena of periodic stochastic…

Chemical Physics · Physics 2012-08-06 Supravat Dey , Dibyendu Das , P. Parmananda

We propose a mechanism of stochastic resonance induced by spatial noise (electric random fields) in ferroelectrics. The calculations demonstrate the characteristic of the stochastic resonance: certain random field can increase the…

Statistical Mechanics · Physics 2009-11-07 Zhi-Rong Liu , Wenhui Duan , Bing-Lin Gu , Xiao-Wen Zhang

Finite 3D Ising ferromagnets are studied in periodic magnetic fields both by computer simulations and mean-field theoretical approaches. The phenomenon of stochastic resonance is revealed. The characteristic peak obtained for the…

Condensed Matter · Physics 2009-10-28 Zoltan Neda

We present a novel scheme for the appearance of Stochastic Resonance when the dynamics of a Brownian particle takes place in a confined medium. The presence of uneven boundaries, giving rise to an entropic contribution to the potential, may…

Statistical Mechanics · Physics 2009-11-13 P. S. Burada , G. Schmid , D. Reguera , M. H. Vainstein , J. M. Rubi , P. Hanggi