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The generalized Langevin equation describes anomalous dynamics. Noise is not only the origin of uncertainty but also plays a positive role in helping to detect signal with information, termed stochastic resonance (SR). This paper analyzes…

统计力学 · 物理学 2018-04-10 Yao Chen , Xudong Wang , Weihua Deng

In assemblies of globally coupled dynamical units, weak noise perturbing independently the individual units can cause anomalous dispersion in the synchronized cloud of the units in the phase space. When the noise-free dynamics of the…

混沌动力学 · 物理学 2016-09-07 Jun-nosuke Teramae , Yoshiki Kuramoto

We study the effect of memory on synchronization of identical chaotic systems driven by common external noises. Our examples show that while in general synchronization transition becomes more difficult to meet when memory range increases,…

混沌动力学 · 物理学 2009-11-11 Rafael Morgado , Michal Ciesla , Lech Longa , Fernando A. Oliveira

The problem of a spatially correlated noise affecting a complex system is studied in this paper. We present a comprehensive analysis of a 2D model polymer chain, driven by the spatially correlated Gaussian noise, for which we have varied…

统计力学 · 物理学 2013-05-30 M. Majka , P. F. Góra

We study the dynamics of a lattice of coupled nonidentical Fitz Hugh-Nagumo system subject to independent external noise. It is shown that these stochastic oscillators can lead to global synchronization behavior {\sl without an external…

混沌动力学 · 物理学 2009-10-31 Bambi Hu , Changsong Zhou

Synchronization phenomena are pervasive in biology. In neuronal networks, the mechanisms of synchronization have been extensively studied from both physiological and computational viewpoints. The functional role of synchronization has also…

神经元与认知 · 定量生物学 2009-06-18 Nicolas Tabareau , Jean-Jacques Slotine , Quang-Cuong Pham

It is well known that a random multiplicative process with weak additive noise generates a power-law probability distribution. It has recently been recognized that this process exhibits another type of power law: the moment of the…

统计力学 · 物理学 2007-05-23 Hiroya Nakao

We analyse the effect of synchronization between noise and periodic signal in a two-state spatially extended system analytically. Resonance features are demonstrated. To have the maximum cooperation between signal and noise, it is shown…

统计力学 · 物理学 2007-05-23 Asish K. Dhara , S. R. Banerjee

We extend investigations of infrared dynamics in accelerating universes. In the presence of massless and minimally coupled scalar fields, physical quantities may acquire growing time dependences through quantum fluctuations at super-horizon…

高能物理 - 理论 · 物理学 2015-09-01 Gihyuk Cho , Cook Hyun Kim , Hiroyuki Kitamoto

Synchronization and emergence of a collective mode is a general phenomenon, frequently observed in ensembles of coupled self-sustained oscillators of various natures. In several circumstances, in particular in cases of neurological…

适应与自组织系统 · 物理学 2015-06-16 Ghazal Montaseri , Mohammad Javad Yazdanpanah , Arkady Pikovsky , Michael Rosenblum

Spatial coherence resonance in a spatially extended system that is locally modeled by Hodgkin-Huxley (HH) neurons is studied in this paper. We focus on the ability of additive temporally and spatially uncorrelated Gaussian noise to extract…

混沌动力学 · 物理学 2008-04-21 Xiaojuan Sun , Matjaz Perc , Qishao Lu , Jürgen Kurths

A new type of noise-induced synchronous behavior is described. This phenomenon, called incomplete noise-induced synchronization, arises for one-dimensional Ginzburg-Landau equations driven by common noise. The mechanisms resulting in the…

混沌动力学 · 物理学 2013-02-19 Alexander E. Hramov , Alexey A. Koronovskii , Pavel V. Popov

We perform a numerical study on the application of electromagnetic flux on a heterogeneous network of Chialvo neurons represented by a ring-star topology. Heterogeneities are realized by introducing additive noise modulations on both the…

动力系统 · 数学 2024-02-09 Indranil Ghosh , Sishu Shankar Muni , Hammed Olawale Fatoyinbo

We discuss the synchronization of coupled neurons which are modelled as FitzHugh-Nagumo systems. As smallest entity in a larger network, we focus on two diffusively coupled subsystems, which can be interpreted as two mutually interacting…

混沌动力学 · 物理学 2008-09-05 Philipp Hoevel , Markus A. Dahlem , Eckehard Schoell

The dynamics of a spatially extended system of two competing species in the presence of two noise sources is studied. A correlated dichotomous noise acts on the interaction parameter and a multiplicative white noise affects directly the…

统计力学 · 物理学 2009-11-11 D. Valenti , L. Schimansky-Geier , X. Sailer , B. Spagnolo

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…

神经元与认知 · 定量生物学 2018-11-30 Patrick Krauss , Karin Prebeck , Achim Schilling , Claus Metzner

We consider spatially extended conductance based neuronal models with noise described by a stochastic reaction diffusion equation with additive noise coupled to a control variable with multiplicative noise but no diffusion. We only assume a…

概率论 · 数学 2020-01-16 Martin Sauer , Wilhelm Stannat

The coherence resonance (CR) of globally coupled Hodgkin-Huxley neurons is studied. When the neurons are set in the subthreshold regime near the firing threshold, the additive noise induces limit cycles. The coherence of the system is…

生物物理 · 物理学 2009-10-31 Yuqing Wang , David T. W. Chik , Z. D. Wang

The effect of time-correlated zero-mean Gaussian noise on chaotic synchronization is analyzed experimentally in small-size arrays of Chua's circuits. Depending on the correlation time, an improvement of the synchronization is found for…

chao-dyn · 物理学 2015-06-24 V. Perez-Munuzuri , M. N. Lorenzo

Estimating free-energy differences using nonequilibrium work relations, such as the Jarzynski equality, is hindered by poor convergence when work fluctuations are large. For systems governed by overdamped Langevin dynamics, we propose the…

统计力学 · 物理学 2025-08-14 Stephen Whitelam