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While the origin of temporal correlations in Langevin dynamics have been thoroughly researched, the understanding of Spatially Correlated Noise (SCN) is rather incomplete. In particular, very little is known about the relation between…

统计力学 · 物理学 2016-10-19 M. Majka , P. F. Góra

Networks of interacting, communicating subsystems are common in many fields, from ecology, biology, epidemiology to engineering and robotics. In the presence of noise and uncertainty, inter- actions between the individual components can…

统计力学 · 物理学 2017-11-01 Ira B. Schwartz , Klimka Szwaykowska , Thomas W. Carr

We investigate the effects of a time-correlated noise on an extended chaotic system. The chosen model is the Lorenz'96, a kind of toy model used for climate studies. The system is subjected to both temporal and spatiotemporal perturbations.…

混沌动力学 · 物理学 2007-07-18 Jorge A. Revelli , Miguel A. Rodriguez , Horacio S. Wio

We show two examples of noise--induced synchronization. We study a 1-d map and the Lorenz systems, both in the chaotic region. For each system we give numerical evidence that the addition of a (common) random noise, of large enough…

混沌动力学 · 物理学 2009-10-31 R. Toral , C. R. Mirasso , E. Hernandez-Garcia , O. Piro

Large populations of globally-coupled identical maps subjected to independent additive noise are shown to undergo qualitative changes as the features of the stochastic process are varied. We show that for strong coupling, the collective…

统计力学 · 物理学 2009-11-10 Silvia De Monte , Francesco d'Ovidio , Hugues Chaté , Erik Mosekilde

We investigate the effects of a time-correlated noise on an extended chaotic system. The chosen model is the Lorenz'96, a kind of "toy" model used for climate studies. Through the analysis of the system's time evolution and its time and…

混沌动力学 · 物理学 2009-11-13 Jorge A. Revelli , Miguel A. Rodriguez , Horacio S. Wio

Spiking neural network models characterize the emergent collective dynamics of circuits of biological neurons and help engineer neuro-inspired solutions across fields. Most dynamical systems' models of spiking neural networks typically…

计算物理 · 物理学 2023-04-12 Georg Börner , Fabio Schittler Neves , Marc Timme

Numerical simulation studies in 2D with the addition of noise are reported for the convection of a supercritical fluid,3He, in a Rayleigh-Be'nard cell where the fluid parameters and cell height L are the same as in published laboratory…

流体动力学 · 物理学 2009-11-10 Akira Furukawa , Horst Meyer , Akira Onuki

We investigate common-noise-induced phase synchronization between uncoupled identical Hele-Shaw cells exhibiting oscillatory convection. Using the phase description method for oscillatory convection, we demonstrate that the uncoupled…

适应与自组织系统 · 物理学 2016-08-24 Yoji Kawamura , Hiroya Nakao

Networks of globally coupled, noise activated, bistable elements with connection time delays are considered. The dynamics of these systems is studied numerically using a Langevin description and analytically using (1) a Gaussian…

统计力学 · 物理学 2009-11-11 Daniel Huber , Lev Tsimring

We present a numerical study of noise correlations, i.e., density-density correlations in momentum space, in the extended fermionic Hubbard model in one dimension. In experiments with ultracold atoms, these noise correlations can be…

强关联电子 · 物理学 2007-10-29 Andreas Luscher , Andreas Laeuchli , Reinhard M. Noack

We demonstrate the existence of noise-induced periodicity (coherence resonance) in both a discrete-time model and a continuous-time model of an excitable neuron. In particular, we show that the effects of noise added to the fast and slow…

神经元与认知 · 定量生物学 2009-11-10 Robert C. Hilborn , Rebecca J. Erwin

Two remote agents with synchronized clocks may use them to act in concert and communicate. This necessitates some means of creating and maintaining synchrony. One method, not requiring any direct interaction between the agents, is to expose…

统计力学 · 物理学 2026-05-20 Benjamin Sorkin , Thomas A. Witten

We theoretically explore the role of mesoscopic fluctuations and noise on the spectral and temporal properties of systems of $\mathcal{PT}$-symmetric coupled gain-loss resonators operating near the exceptional point, where eigenvalues and…

Spatially correlated noise (SCN), i.e. the thermal noise that affects neighbouring particles in a similar manner, is ubiquitous in soft matter systems. In this work, we apply the over-damped SCN-driven Langevin equations as an effective,…

软凝聚态物质 · 物理学 2019-12-30 M. Majka , P. F. Góra

We study the role played by noise on the QW introduced in [1], a 1D model that is inspired by a two particle interacting QW. The noise is introduced by a random change in the value of the phase during the evolution, from a constant…

量子物理 · 物理学 2017-03-29 Ivan Marquez-Martin , Giuseppe Di Molfetta , Armando Perez

Neural spike trains, which are sequences of very brief jumps in voltage across the cell membrane, were one of the motivating applications for the development of point process methodology. Early work required the assumption of stationarity,…

应用统计 · 统计学 2011-08-01 Robert E. Kass , Ryan C. Kelly , Wei-Liem Loh

An analysis of transition from chaotic to nonchaotic behavior and synchronization in an ensemble of systems driven by identical random forces is presented. The synchronization phenomenon is investigated in the ensemble of particles moving…

chao-dyn · 物理学 2015-06-24 B. Kaulakys , F. Ivanauskas , T. Meskauskas

The apparent stability of population oscillations in ecological systems is a long-standing puzzle. A generic solution for this problem is suggested here. The stabilizing mechanism involves the combined effect of spatial migration,…

种群与进化 · 定量生物学 2007-05-23 Refael Abta , Marcelo Schiffer , Avishag Ben-Ishay , Nadav M. Shnerb

In this paper, we investigated the neural spikes synchronisation in a neural network with synaptic plasticity and external perturbation. In the simulations the neural dynamics is described by the Hodgkin Huxley model considering chemical…