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相关论文: Stochastic resonance in higher-order networks driv…

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Responses have been numerically studied of an ensemble of $N$ (=1, 10, and 100) Hodgkin-Huxley (HH) neurons to coherent spike-train inputs applied with independent Poisson spike-train (ST) noise and Gaussian white noise. Three interrelated…

无序系统与神经网络 · 物理学 2007-05-23 Hideo Hasegawa

We investigate how correlations between the diversity of the connectivity of networks and the dynamics at their nodes affect the macroscopic behavior. In particular, we study the synchronization transition of coupled stochastic phase…

无序系统与神经网络 · 物理学 2013-01-22 Bernard Sonnenschein , Francesc Sagués , Lutz Schimansky-Geier

A stochastic model of excitatory and inhibitory interactions which bears universality traits is introduced and studied. The endogenous component of noise, stemming from finite size corrections, drives robust inter-nodes correlations, that…

无序系统与神经网络 · 物理学 2017-08-16 Clement Zankoc , Duccio Fanelli , Francesco Ginelli , Roberto Livi

Partially synchronized solitary states occur frequently when a synchronized system of networked oscillators is perturbed locally. Several asymptotic states of different frequencies can coexist at the same node. Here, we reveal the mechanism…

适应与自组织系统 · 物理学 2024-11-25 Jakob Niehues , Serhiy Yanchuk , Rico Berner , Jürgen Kurths , Frank Hellmann , Mehrnaz Anvari

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 study the spatial distributions of two randomly interacting species, in the presence of an external multiplicative colored noise. The dynamics of the ecosystem is described by a coupled map lattice model. We find a nonmonotonic behavior…

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

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

We study the effects of periodic subthreshold pacemaker activity and time-delayed coupling on stochastic resonance over scale-free neuronal networks. As the two extreme options, we introduce the pacemaker respectively to the neuron with the…

神经元与认知 · 定量生物学 2009-06-09 Qingyun Wang , Matjaz Perc , Zhisheng Duan , Guanrong Chen

We study the effect of structured higher-order interactions on the collective behavior of coupled phase oscillators. By combining a hypergraph generative model with dimensionality reduction techniques, we obtain a reduced system of…

适应与自组织系统 · 物理学 2023-03-14 Sabina Adhikari , Juan G. Restrepo , Per Sebastian Skardal

Coupled oscillators with time-delayed network interactions are critical to understand synchronization phenomena in many physical systems. Phase reductions to finite-dimensional phase oscillator networks allow for their explicit analysis.…

动力系统 · 数学 2024-04-18 Christian Bick , Bob Rink , Babette A. J. de Wolff

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…

Recent studies have shown that adaptive networks driven by simple local rules can organize into "critical" global steady states, providing another framework for self-organized criticality (SOC). We focus on the important convergence to…

适应与自组织系统 · 物理学 2013-05-30 Christian Kuehn

We consider classical nonlinear oscillators on hexagonal lattices. When the coupling between the elements is repulsive, we observe coexisting states, each one with its own basin of attraction. These states differ by their degree of…

适应与自组织系统 · 物理学 2015-06-16 F. Ionita , D. Labavic , M. A. Zaks , H. Meyer-Ortmanns

We study the statistical physics of a surprising phenomenon arising in large networks of excitable elements in response to noise: while at low noise, solutions remain in the vicinity of the resting state and large-noise solutions show…

适应与自组织系统 · 物理学 2020-04-01 Jonathan D. Touboul , Charlotte Piette , Laurent Venance , G. Bard Ermentrout

Stochastic orders are binary relations defined on probability distributions which capture intuitive notions like being larger or being more variable. This paper introduces stochastic ordering of interference distributions in large-scale…

信息论 · 计算机科学 2012-10-26 Junghoon Lee , Cihan Tepedelenlioglu

We analyze transport on a graph with multiple constraints and where the weight of the edges connecting the nodes is a dynamical variable. The network dynamics results from the interplay between a nonlinear function of the flow, dissipation,…

统计力学 · 物理学 2023-11-28 Frederic Folz , Kurt Mehlhorn , Giovanna Morigi

In specific motifs of three recurrently connected neurons with probabilistic response, the spontaneous information flux, defined as the mutual information between subsequent states, has been shown to increase by adding ongoing white noise…

神经元与认知 · 定量生物学 2024-08-13 Claus Metzner , Achim Schilling , Andreas Maier , Patrick Krauss

Neural networks are known to develop latent representations that are $aligned$, namely structurally similar across networks trained with different architectures, training protocols, or training datasets. We study this phenomenon in a…

机器学习 · 统计学 2026-05-27 Ali Hussaini Umar , Alessandro Laio

A stochastic averaging technique based on energy-dependent frequency is extended to dynamical systems with triple-well potential driven by colored noise. The key procedure is the derivation of energy-dependent frequency according to the…

动力系统 · 数学 2020-03-18 Yanxia Zhang , Yanfei Jin

We present a picture of phase transitions of the system with colored multiplicative noise. Considering the noise amplitude as the power-law dependence of the stochastic variable $x^a$ we show the way to phase transitions disorder-order and…

统计力学 · 物理学 2009-11-07 D. O. Kharchenko , S. Kokhan