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We examine the effects of pure additive noise on spatially extended systems with quadratic nonlinearities. We develop a general multiscale theory for such systems and apply it to the Kuramoto-Sivashinsky equation as a case study. We first…

统计力学 · 物理学 2012-09-20 M. Pradas , G. A. Pavliotis , S. Kalliadasis , D. T. Papageorgiou , D. Tseluiko

We study the overdamped motion of a particle in a bistable potential subject to the action of a bichromatic force and additive noise, within the context of the vibrational resonance phenomenon. Under appropriate conditions, we obtain…

统计力学 · 物理学 2016-08-16 Jesús Casado-Pascual , José Pablo Baltanás

In this paper we present a general framework in which one can rigorously study the effect of spatio-temporal noise on traveling waves, stationary patterns and oscillations that are invariant under the action of a finite-dimensional set of…

动力系统 · 数学 2020-06-24 James MacLaurin

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…

统计力学 · 物理学 2007-05-23 D. Valenti , A. Fiasconaro , B. Spagnolo

As circuits continue to miniaturize, noise has become a significant obstacle to performance optimization. Stochastic resonance in logic circuits offers an innovative approach to harness noise constructively; however, current implementations…

适应与自组织系统 · 物理学 2024-10-11 Mengen Shen , Jianhua Yang , Miguel A. F. Sanjuán , Huatao Chen , Zhongqiu Wang

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

In this paper, we study the stochastic resonance (SR) effect in an optomechanical system driven by a strong coupling field and two weak signals in both semiclassical and quantum frameworks. In the semiclassical description, the SR phenomena…

光学 · 物理学 2018-11-21 Min Xie , Bixuan Fan , Xiaoli He , Qingqing Chen

We study a noisy oscillator with pulse delayed feedback, theoretically and in an electronic experimental implementation. Without noise, this system has multiple stable periodic regimes. We consider two types of noise: i) phase noise acting…

适应与自组织系统 · 物理学 2020-08-26 Vladimir Klinshov , Dmitry Shchapin , Otti D'Huys

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…

适应与自组织系统 · 物理学 2019-05-14 Alexandra Pinto Castellanos

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…

统计力学 · 物理学 2013-09-06 Yong Xu , Juanjuan Li , Jing Feng , Huiqing Zhang , Wei Xu , Jinqiao Duan

Using a point (superconductor-constriction-superconductor, ScS) contact in a single-Josephson-junction superconducting quantum interference device (RF SQUID) provides stochastic resonance conditions at any arbitrary small value of loop…

超导电性 · 物理学 2014-02-06 O. G. Turutanov , V. A. Golovanevskiy , V. Yu. Lyakhno , V. I. Shnyrkov

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

We consider a damped $\beta$-Fermi-Pasta-Ulam chain, driven at one boundary subjected to stochastic noise. It is shown that, for a fixed driving amplitude and frequency, increasing the noise intensity, the system's energy resonantly…

斑图形成与孤子 · 物理学 2009-11-13 George Miloshevich , Ramaz Khomeriki , Stefano Ruffo

In this thesis we consider stochastic resonance for a diffusion with drift given by a potential, which has two metastable states and two pathways between them. Depending on the direction of the forcing the height of the two barriers, one…

概率论 · 数学 2018-03-06 Tommy Liu

We consider stochastic resonance for a diffusion with drift given by a potential, which has two metastable states and two pathways between them. Depending on the direction of the forcing, the height of the two barriers, one for each path,…

概率论 · 数学 2018-03-05 Tommy Liu

Noise induced changes in the critical and oscillatory behavior of a Prey-Predator system are studied using power spectrum density and Spectral Amplification Factor (SAF) analysis. In the absence of external noise, the population densities…

统计力学 · 物理学 2009-10-31 A. F. Rozenfeld , C. J. Tessone , E. Albano , H. S. Wio

We study the dynamics of fronts when both inertial effects and external fluctuations are taken into account. Stochastic fluctuations are introduced as multiplicative noise arising from a control parameter of the system. Contrary to the…

统计力学 · 物理学 2009-10-31 Jose M. Sancho , Angel Sanchez

We study resonance behavior of a two-dimensional fully frustrated Josephson-junction array driven by high alternating currents. The signal-to-noise ratio (SNR) is examined as the frequency of the driving current is varied; revealed is a…

统计力学 · 物理学 2007-05-23 Jong Soo Lim , M. Y. Choi , Beom Jun Kim

Stochastic resonance with white noise has been well established as a potential signal amplification mechanism in nanomechanical two-state systems. While white noise represents the archetypal stimulus for stochastic resonance, typical…

介观与纳米尺度物理 · 物理学 2009-11-13 Tyler Dunn , Diego N. Guerra , Pritiraj Mohanty

Two stable dynamical states of trajectories of an underdamped particle, under appropriate conditions, appear naturally in a sinusoidal potential when driven by a low amplitude biharmonic external field. These states are quite stable at low…

统计力学 · 物理学 2015-02-03 W. L. Reenbohn , Mangal C. Mahato