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The phenomenon of stochastic resonance, wherein the stimulus-response of a system can be maximized by an intermediate level of noise, has been extensively investigated through linear response theory. As yet a unified response-noise or…

适应与自组织系统 · 物理学 2025-03-03 Cong Liu , Xin-Ze Song , Zhi-Xi Wu , Guo-Yong Yuan

The long-term mean-field dynamics of coupled underdamped Duffing oscillators driven by an external periodic signal with Gaussian noise is investigated. A Boltzmann-type H-theorem is proved for the associated nonlinear Fokker-Planck equation…

动力系统 · 数学 2019-08-30 Ruonan Liu , Yanmei Kang , Yuxuan Fu , Guanrong Chen

We carry out a detailed numerical investigation of stochastic resonance in underdamped systems in the non-perturbative regime. We point out that an important distinction between stochastic resonance in overdamped and underdamped systems…

斑图形成与孤子 · 物理学 2009-11-11 Rajarshi Ray , Supratim Sengupta

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

We investigate stochastic resonance (SR) in an ensemble of coupled overdamped bistable oscillators driven by colored noise. The networks incorporate the weighted contributions of both pairwise coupling and 2-simplex coupling. Our findings…

统计力学 · 物理学 2026-03-09 Zhongwen Bi , Dan Zhao , Qi Liu , Jürgen Kurths , Yong Xu

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,…

斑图形成与孤子 · 物理学 2021-06-08 Adriano A. Batista , A. A. Lisboa de Souza , Raoni S. N. Moreira

We analyze the effect of the simultaneous presence of correlated additive and multiplicative noises on the stochastic resonance response of a modulated bistable system. We find that when the correlation parameter is also modulated, the…

统计力学 · 物理学 2009-10-31 Claudio J. Tessone , Horacio S. Wio

We study the effects of a high-frequency (HF) signal on the response of a noisy bistable system to a low-frequency subthreshold sinusoidal signal. We show that, by conveniently choosing the ratio of the amplitude of the HF signal to its…

统计力学 · 物理学 2016-08-14 Jesús Casado-Pascual , David Cubero , José Pablo Baltanás

High frequency stochastic resonance (SR) phenomena, associated with fluctuational transitions between coexisting periodic attractors, have been investigated experimentally in an electronic model of a single-well Duffing oscillator bistable…

Cooperative effects of periodic force and noise in globally Cooperative effects of periodic force and noise in globally coupled systems are studied using a nonlinear diffusion equation for the number density. The amplitude of the order…

混沌动力学 · 物理学 2009-11-07 Hidetsugu Sakaguchi

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

Stochastic resonance is a general phenomenon usually observed in one-dimensional, amplitude modulated, bistable systems.We show experimentally the emergence of phase stochastic resonance in the bidimensional response of a forced…

We analyze the stochastic response of a finite set of globally coupled noisy bistable units driven by rather weak time-periodic forces. We focus on the stochastic resonance and phase frequency synchronization of the collective variable,…

统计力学 · 物理学 2009-11-13 Manuel Morillo , Jose Gomez-Ordonez Jose Manuel Casado

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…

统计力学 · 物理学 2021-03-16 F. Naha Nzoupe , Alain M. Dikande

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

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

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…

统计力学 · 物理学 2009-05-28 José Gómez-Ordóñez , José M. Casado , Manuel Morillo

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…

统计力学 · 物理学 2009-11-10 B. von Haeften , G. Izús , S. Mangioni , A. D. Sánchez , H. S. Wio

It is shown that nonlocal coupling provides for controlling the collective noise-induced dynamics in the regime of stochastic resonance. This effect is demonstrated by means of numerical simulation on an example of coupled overdamped…

适应与自组织系统 · 物理学 2025-02-24 Vladimir Semenov

The dynamics of an ensemble of bistable elements with global time-delayed coupling under the influence of noise is studied analytically and numerically. Depending on the noise level the system undergoes ordering transitions and demonstrates…

统计力学 · 物理学 2009-11-10 D. Huber , L. S. Tsimring
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