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Related papers: A neuronal dynamics study on a neuromorphic chip

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The paper examines the discrete-time dynamics of neuron models (of excitatory and inhibitory types) with piecewise linear activation functions, which are connected in a network. The properties of a pair of neurons (one excitatory and the…

chao-dyn · Physics 2007-05-23 Sitabhra Sinha

Neural oscillations are considered to be brain-specific signatures of information processing and communication in the brain. They also reflect pathological brain activity in neurological disorders, thus offering a basis for diagnoses and…

Neurons and Cognition · Quantitative Biology 2023-10-23 Tena Dubcek , Debora Ledergerber , Jana Thomann , Giovanna Aiello , Marc Serra-Garcia , Lukas Imbach , Rafael Polania

We propose a stochastic dynamical model of noisy neural networks with complex architectures and discuss activation of neural networks by a stimulus, pacemakers and spontaneous activity. This model has a complex phase diagram with…

Disordered Systems and Neural Networks · Physics 2015-05-13 A. V. Goltsev , F. V. de Abreu , S. N. Dorogovtsev , J. F. F. Mendes

At functional scales, cortical behavior results from the complex interplay of a large number of excitable cells operating in noisy environments. Such systems resist to mathematical analysis, and computational neurosciences have largely…

Neurons and Cognition · Quantitative Biology 2014-03-05 Mathieu Galtier , Jonathan Touboul

Learning requires the traversal of inherently distinct cognitive states to produce behavioral adaptation. Yet, tools to explicitly measure these states with non-invasive imaging -- and to assess their dynamics during learning -- remain…

Epileptic seizures are characterised by abnormal brain dynamics at multiple scales, engaging single neurons, neuronal ensembles and coarse brain regions. Key to understanding the cause of such emergent population dynamics, is capturing the…

Neurons and Cognition · Quantitative Biology 2022-12-13 Dominic RW Burrows

$\textbf{Formal version available at}$ https://cell.com/patterns/fulltext/S2666-3899(23)00200-3 Networks of spiking neurons underpin the extraordinary information-processing capabilities of the brain and have become pillar models in…

Neural and Evolutionary Computing · Computer Science 2023-09-18 Gehua Ma , Rui Yan , Huajin Tang

Dynamics of an ensemble of $N$-unit FitzHugh-Nagumo (FN) neurons subject to white noises has been studied by using a semi-analytical dynamical mean-field (DMF) theory in which the original $2 N$-dimensional {\it stochastic} differential…

Disordered Systems and Neural Networks · Physics 2009-11-07 Hideo Hasegawa

Noise appears in the brain due to various sources, such as ionic channel fluctuations and synaptic events. They affect the activities of the brain and influence neuron action potentials. Stochastic differential equations have been used to…

Neurons and Cognition · Quantitative Biology 2020-06-01 P R Protachevicz , M S Santos , E G Seifert , E C Gabrick , F S Borges , R R Borges , J Trobia , J D Szezech , K C Iarosz , I L Caldas , C G Antonopoulos , Y Xu , R L Viana , A M Batista

Functions of brain areas in complex animals are believed to rely on the dynamics of networks of neurons rather than on single neurons. On the other hand, the network dynamics reflect and arise from the integration and coordination of the…

Neurons and Cognition · Quantitative Biology 2017-01-03 Stefano Cavallari

In this article, we review a class of neuro-mimetic computational models that we place under the label of spiking predictive coding. Specifically, we review the general framework of predictive processing in the context of neurons that emit…

Neurons and Cognition · Quantitative Biology 2024-09-10 Antony W. N'dri , William Gebhardt , Céline Teulière , Fleur Zeldenrust , Rajesh P. N. Rao , Jochen Triesch , Alexander Ororbia

This study investigates how dynamical systems may be learned and modelled with a neuromorphic network which is itself a dynamical system. The neuromorphic network used in this study is based on a complex electrical circuit comprised of…

Disordered Systems and Neural Networks · Physics 2025-10-24 Yinhao Xu , Georg A. Gottwald , Zdenka Kuncic

Recent experimental observations have supported the hypothesis that the cerebral cortex operates in a dynamical regime near criticality, where the neuronal network exhibits a mixture of ordered and disordered patterns. However, A…

Neurons and Cognition · Quantitative Biology 2023-09-08 Longbin Zeng , Fengjian Feng , Wenlian Lu

We consider a fully-connected network of leaky integrate-and-fire neurons with spike-timing-dependent plasticity. The plasticity is controlled by a parameter representing the expected weight of a synapse between neurons that are firing…

Neurons and Cognition · Quantitative Biology 2011-09-23 Chun-Chung Chen , David Jasnow

Neuromorphic devices represent an attempt to mimic aspects of the brain's architecture and dynamics with the aim of replicating its hallmark functional capabilities in terms of computational power, robust learning and energy efficiency. We…

Synaptic plasticity and neuron cross-talk are some of the important key mechanisms underlying formation of dynamic clusters of active neurons. The essence of this study is to model and decipher the mechanism of emergence of a task-specific…

Neurons and Cognition · Quantitative Biology 2021-08-03 Jasleen Gund , R. K. Brojen Singh

Dynamics of a chaotic spiking neuron model are being studied mathematically and experimentally. The Nonlinear Dynamic State neuron (NDS) is analysed to further understand the model and improve it. Chaos has many interesting properties such…

Artificial Intelligence · Computer Science 2013-10-29 Mohammad Alhawarat , Waleed Nazih , Mohammad Eldesouki

How the information microscopically processed by individual neurons is integrated and used in organizing the behavior of an animal is a central question in neuroscience. The coherence of neuronal dynamics over different scales has been…

Disordered Systems and Neural Networks · Physics 2020-03-11 Takashi Hayakawa , Tomoki Fukai

Spiking Neural Networks (SNNs) offer energy-efficient and biologically plausible alternatives to traditional artificial neural networks, but their performance depends critically on the tuning of neuron model parameters. In this work, we…

Neural and Evolutionary Computing · Computer Science 2025-07-22 Szymon Mazurek , Jakub Caputa , Maciej Wielgosz

The background activity of a cortical neural network is modeled by a homogeneous integrate-and-fire network with unreliable inhibitory synapses. Numerical and analytical calculations show that the network relaxes into a stationary state of…

Disordered Systems and Neural Networks · Physics 2007-05-23 Wolfgang Kinzel