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We consider a network of randomly coupled rate-based neurons influenced by external and internal noise. We derive a second-order stochastic mean-field model for the network dynamics and use it to analyze the stability and bifurcations in…

混沌动力学 · 物理学 2015-12-14 Vladimir Klinshov , Igor Franovic

In this article, we investigate the stochastic resonance (SR) effect in a finite array of noisy bistable systems with nearest-neighbor coupling driven by a weak time-periodic driving force. The array is characterized by a collective…

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

We investigate the stochastic resonance phenomenon in a physical system based on a tunnel diode. The experimental control parameters are set to allow the control of the frequency and amplitude of the deterministic modulating signal over an…

统计力学 · 物理学 2009-10-31 Rosario N. Mantegna , Bernardo Spagnolo , Marco Trapanese

We show, the SR can appear in monostable overdamped systems driven by additive mix of periodical signal and white Gaussian noise. It can be observed as nonmonotonic dependence of SNR on the input noise intensity. In this sense it is similar…

统计力学 · 物理学 2009-11-13 N. V. Agudov , A. V. Krichigin

Relaxor ferroelectrics are complex oxide materials which are rather unique to study the effects of compositional disorder on phase transitions. Here, we study the effects of quenched cubic random electric fields on the lattice instabilities…

材料科学 · 物理学 2017-06-14 J. R. Arce-Gamboa , G. G. Guzmán-Verri

Using the input energy per cycle as a quantifier of stochastic resonance (SR), we show that SR is observed in superharmonic (hard) potentials. However, it is not observed in subharmonic (soft) potentials, even though the potential is…

统计力学 · 物理学 2012-11-02 Shubhashis Rana , Sourabh Lahiri , A. M. Jayannavar

This paper is concerned with stochastic reaction-diffusion kinetics governed by the reaction-diffusion master equation. Specifically, the primary goal of this paper is to provide a mechanistic basis of Turing pattern formation that is…

定量方法 · 定量生物学 2015-04-23 Yutaka Hori , Shinji Hara

We review the mathematical formalism underlying the modelling of stochasticity in biological systems. Beginning with a description of the system in terms of its basic constituents, we derive the mesoscopic equations governing the dynamics…

种群与进化 · 定量生物学 2012-11-05 Alan J. McKane , Tommaso Biancalani , Tim Rogers

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 consider a charged Brownian particle in an asymmetric bistable electrostatic potential biased by an externally applied or induced time periodic electric field. While the amplitude of the applied field is independent of frequency, that of…

生物大分子 · 定量生物学 2009-03-04 Meir Shaked , Zeev Schuss

In this paper we introduce a model which provides a new approach to the phenomenon of stochastic resonance. It is based on the study of the properties of the stationary distribution of the underlying stochastic process. We derive the…

概率论 · 数学 2007-05-23 Peter Imkeller , Ilya Pavlyukevich

A new method is introduced to obtain a strong signal by the interference of weak signals in noisy channels. The method is based on the interference of 1/f noise from parallel channels. One realization of stochastic interference is the…

混沌动力学 · 物理学 2009-11-07 K. Svozil , D. Felix , K. Ehrenberger

Although stochastic resonance phenomena are ubiquitous across various complex systems, the influence mechanisms of higher-order interactions remain elusive. Here, we address this gap by investigating stochastic resonance in coupled phase…

适应与自组织系统 · 物理学 2026-03-16 Zheng Wang , Jinjie Zhu , Xianbin Liu

The phenomenon of stochastic resonance (SR) has been mainly studied in one-dimensional systems with additive noise. We show that in higher dimensional systems and in the presence of multiplicative noise, a non-linear magnetic system with a…

材料科学 · 物理学 2007-05-23 A. Rebei

In this paper, we report stochastic resonance (SR) in a single electron turnstile. It has been known that SR emerges by the cooperation of a weak periodic signal and noise in a bistable system. A periodic signal produces switching between…

量子物理 · 物理学 2007-10-16 Hisanao Akima , Shigeo Sato , Koji Nakajima

We theoretically describe how weak signals may be efficiently transmitted throughout more than one frequency range in noisy excitable media by kind of stochastic multiresonance. This serves us here to reinterpret recent experiments in…

数据分析、统计与概率 · 物理学 2015-05-27 J. J. Torres , J. Marro , J. F. Mejias

Ultrafast disordering observed after photo-excitation challenges the conventional picture of photo-induced transitions where symmetry-breaking takes place along a single collective coordinate. We propose that key spectroscopic signatures of…

强关联电子 · 物理学 2025-07-31 Francesco Valiera , Antonio Picano , Martin Eckstein

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…

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…

统计力学 · 物理学 2016-08-16 Jesús Casado-Pascual , José Gómez-Ordóñez , Manuel Morillo , Peter Hänggi