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We consider a neural field model which consists of a network of an arbitrary number of Wilson-Cowan nodes with homeostatic adjustment of the inhibitory coupling strength and time delayed, excitatory coupling. We extend previous work on this…

Dynamical Systems · Mathematics 2023-11-28 Isam Al-Darabsah , Sue Ann Campbell , Bootan Rahman

The response of a neuron to synaptic input strongly depends on whether or not it has just emitted a spike. We propose a neuron model that after spike emission exhibits a partial response to residual input charges and study its collective…

Neurons and Cognition · Quantitative Biology 2010-06-04 Christoph Kirst , Theo Geisel , Marc Timme

Many of the amazing functional capabilities of the brain are collective properties stemming from the interactions of large sets of individual neurons. In particular, the most salient collective phenomena in brain activity are oscillations,…

Neurons and Cognition · Quantitative Biology 2022-06-29 Victor Buendía , Pablo Villegas , Raffaella Burioni , Miguel A. Muñoz

The presence of noise in non linear dynamical systems can play a constructive role, increasing the degree of order and coherence or evoking improvements in the performance of the system. An example of this positive influence in a biological…

Dynamical Systems · Mathematics 2016-09-07 M. -P. Zorzano , L. Vazquez

Spiking Neural Networks (SNNs) have the potential for rich spatio-temporal signal processing thanks to exploiting both spatial and temporal parameters. The temporal dynamics such as time constants of the synapses and neurons and delays have…

Neural and Evolutionary Computing · Computer Science 2024-07-29 Filippo Moro , Pau Vilimelis Aceituno , Laura Kriener , Melika Payvand

The synchronous dynamics of an array of excitable oscillators, coupled via a generic graph, is studied. Non homogeneous perturbations can grow and destroy synchrony, via a self-consistent instability which is solely instigated by the…

Disordered Systems and Neural Networks · Physics 2018-05-23 Maxime Lucas , Duccio Fanelli , Timoteo Carletti , Julien Petit

Correlated fluctuations in the activity of neural populations reflect the network's dynamics and connectivity. The temporal and spatial dimensions of neural correlations are interdependent. However, prior theoretical work mainly analyzed…

Neurons and Cognition · Quantitative Biology 2022-07-19 Yan-Liang Shi , Roxana Zeraati , Anna Levina , Tatiana A. Engel

Recent studies have shown how spiking networks can learn complex functionality through error-correcting plasticity, but the resulting structures and dynamics remain poorly studied. To elucidate how these models may link to observed dynamics…

Neurons and Cognition · Quantitative Biology 2025-08-19 Jonas Oberste-Frielinghaus , Anno C. Kurth , Julian Göltz , Laura Kriener , Junji Ito , Mihai A. Petrovici , Sonja Grün

Information processing in the brain requires integration of information over time. Such an integration can be achieved if signals are maintained in the network activity for the required period, as quantified by the intrinsic timescale.…

Cortical sensory neurons are known to be highly variable, in the sense that responses evoked by identical stimuli often change dramatically from trial to trial. The origin of this variability is uncertain, but it is usually interpreted as…

Neurons and Cognition · Quantitative Biology 2007-05-23 Gleb Basalyga , Emilio Salinas

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…

Chaotic Dynamics · Physics 2008-09-05 Philipp Hoevel , Markus A. Dahlem , Eckehard Schoell

A form of "remote synchronization" was recently described wherein amplitude fluctuations across a ring of non-identical, non-linear electronic oscillators become entrained into spatially-structured patterns. According to linear models and…

Chaotic Dynamics · Physics 2018-06-26 Ludovico Minati , Luca Faes , Mattia Frasca , Pawel Oswiecimka , Stanislaw Drozdz

Frequency discrimination is a fundamental task of the auditory system. The mammalian inner ear, or cochlea, provides a place code in which different frequencies are detected at different spatial locations. However, a temporal code based on…

Neurons and Cognition · Quantitative Biology 2015-06-05 Tobias Reichenbach , A. J. Hudspeth

First return maps of interspike intervals for biological neurons that generate repetitive bursts of impulses can display stereotyped structures (neuronal signatures). Such structures have been linked to the possibility of multicoding and…

Neurons and Cognition · Quantitative Biology 2015-06-22 Bóris Marin , Reynaldo Daniel Pinto , Robert C Elson , Eduardo Colli

The functional significance of resting state networks and their abnormal manifestations in psychiatric disorders are firmly established, as is the importance of the cortical rhythms in mediating these networks. Resting state networks are…

Activity in coupled systems is often oscillatory, for example, the firing pattern of neuronal populations. Whereas these oscillations have been studied predominantly in local circuits, here we show how the topology of large-scale networks,…

Neurons and Cognition · Quantitative Biology 2014-05-15 Marcus Kaiser

In this paper, we study the effects of spike timing-dependent plasticity on synchronisation in a network of Hodgkin-Huxley neurons. Neuron plasticity is a flexible property of a neuron and its network to change temporarily or permanently…

Neurons and Cognition · Quantitative Biology 2015-03-10 R. R. Borges , F. S. Borges , A. M. Batista , E. L. Lameu , R. L. Viana , K. C. Iarosz , I. L. Caldas , M. A. F. Sanjuán

We investigate the stability of synchronization in networks of delay-coupled excitable neural oscillators. On the basis of the master stability function formalism, we demonstrate that synchronization is always stable for excitatory coupling…

Disordered Systems and Neural Networks · Physics 2016-08-10 Judith Lehnert , Thomas Dahms , Philipp Hövel , Eckehard Schöll

The presence of both critical behavior and oscillating patterns in brain dynamics is a very interesting issue. In this paper, we consider a model for a neuron population, where each neuron is modeled by an over-damped rotator. We find that…

Disordered Systems and Neural Networks · Physics 2020-11-12 Amin Safaeesirat , Saman Moghimi-Araghi

Neuronal activity in the brain generates synchronous oscillations of the Local Field Potential (LFP). The traditional analyses of the LFPs are based on decomposing the signal into simpler components, such as sinusoidal harmonics. However, a…

Quantitative Methods · Quantitative Biology 2018-06-19 Luca Perotti , Justin DeVito , Daniel Bessis , Yuri Dabaghian