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We explore both analytically and numerically an ensemble of coupled phase-oscillators governed by a Kuramoto-type system of differential equations. However, we have included the effects of time-delay (due to finite signal-propagation…

适应与自组织系统 · 物理学 2015-06-16 Liam Timms , Lars Q. English

A network of delay-coupled logistic maps exhibits two different synchronization regimes, depending on the distribution of the coupling delay times. When the delays are homogeneous throughout the network, the network synchronizes to a…

适应与自组织系统 · 物理学 2011-05-31 Cristina Masoller , Fatihcan M. Atay

We investigate feedback control of the cooperative dynamics of two coupled neural oscillators that is induced merely by external noise. The interacting neurons are modelled as FitzHugh-Nagumo systems with parameter values at which no…

混沌动力学 · 物理学 2009-11-11 B. Hauschildt , N. B. Janson , A. Balanov , E. Schoell

We consider networks of coupled maps where the connections between units involve time delays. We show that, similar to the undelayed case, the synchronization of the network depends on the connection topology, characterized by the spectrum…

无序系统与神经网络 · 物理学 2007-05-23 Fatihcan M. Atay , Jürgen Jost , Andreas Wende

We have analyzed the synchronization of a small-world network of chaotic Rulkov neurons with an electrical coupling that contains a delay. We have developed an algorithm to compute a certain delay whose result is to improve the…

适应与自组织系统 · 物理学 2019-05-01 Roberto Lozano , Javier Used , Miguel A. F. Sanjuán

We have studied effects of perturbations on the cat cerebral cortex. According to the literature, this cortex structure can be described by a clustered network. This way, we construct a clustered network with the same number of areas as in…

For modeling complex synaptic connectivity, we consider the Watts-Strogatz small-world network which interpolates between regular lattice and random network via rewiring, and investigate the effect of small-world connectivity on emergence…

神经元与认知 · 定量生物学 2014-07-11 Sang-Yoon Kim , Woochang Lim

First spike latency following stimulus onset is of significant physiological relevance. Neurons transmit information about their inputs by transforming them into spike trains, and the timing of these spike trains is in turn crucial for…

生物物理 · 物理学 2014-03-27 Rukiye Uzun , Mahmut Ozer , Matjaz Perc

We investigate delay-induced collective dynamics in a two-layer multiplex FitzHugh Nagumo network with nonlocal intra layer coupling and delayed inter layer interactions. While delay effects are often treated as secondary, we show that…

生物物理 · 物理学 2026-05-07 Hui Wu

This article investigates the emergence of phase synchronization in a network of randomly connected neurons by chemical synapses. The study uses the classic Hodgkin-Huxley model to simulate the neuronal dynamics under the action of a train…

We examine the onset of synchronization transition in a star network of Kuramoto phase oscillators in the presence of inertia and a time delay in the coupling. A direct correlation between the natural frequencies of the oscillators and…

适应与自组织系统 · 物理学 2014-07-30 Ajay Deep Kachhvah , Abhijit Sen

Spontaneous formation of clusters of synchronized spiking in a structureless ensemble of equal stochastically perturbed excitable neurons with delayed coupling is demonstrated for the first time. The effect is a consequence of a subtle…

适应与自组织系统 · 物理学 2015-06-04 Igor Franovic , Kristina Todorovic , Nebojsa Vasovic , Nikola Buric

Temporal correlations in the brain are thought to have very dichotomic roles. On one hand they are ubiquitously present in the healthy brain and are thought to underlie feature binding during information processing. On the other hand large…

生物物理 · 物理学 2009-11-10 Bethany Percha , Rhonda Dzakpasu , Michał Żochowski

We consider the Kuramoto model of globally coupled phase oscillators with time-delayed interactions, that is subject to the Ornstein-Uhlenbeck (Gaussian) colored or the non-Gaussian colored noise. We investigate numerically the interplay…

统计力学 · 物理学 2015-05-19 Monoj Kumar Sen , Bidhan Chandra Bag , Karen G. Petrosyan , Chin-Kun Hu

We study synchronization in delay-coupled neural networks of heterogeneous nodes. It is well known that heterogeneities in the nodes hinder synchronization when becoming too large. We show that an adaptive tuning of the overall coupling…

适应与自组织系统 · 物理学 2016-08-10 S. A. Plotnikov , J. Lehnert , A. L. Fradkov , E. Schöll

Over the past two decades, complex network theory provided the ideal framework for investigating the intimate relationships between the topological properties characterizing the wiring of connections among a system's unitary components and…

The paper addresses state estimation for clock synchronization in the presence of factors affecting the quality of synchronization. Examples are temperature variations and delay asymmetry. These working conditions make synchronization a…

网络与互联网体系结构 · 计算机科学 2022-12-08 Maurizio Mongelli , Stefano Scanzio

In the last century, most sensorimotor studies of cortical neurons relied on average firing rates. Rate coding is efficient for fast sensorimotor processing that occurs within a few seconds. Much less is known about the neural mechanisms…

神经元与认知 · 定量生物学 2026-05-01 Terrence J. Sejnowski

We consider a simple Markovian class of the stochastic Wilson-Cowan type models of neuronal network dynamics, which incorporates stochastic delay caused by the existence of a refractory period of neurons. From the point of view of the…

神经元与认知 · 定量生物学 2015-05-01 Igor Goychuk , Andriy Goychuk

Networks of model neurons with balanced recurrent excitation and inhibition produce irregular and asynchronous spiking activity. We extend the analysis of balanced networks to include the known dependence of connection probability on the…

神经元与认知 · 定量生物学 2014-06-02 Robert Rosenbaum , Brent Doiron