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A regime of coexistence of asynchronous and clustered dynamics is analyzed for globally coupled homogeneous and heterogeneous inhibitory networks of quadratic integrate-and-fire (QIF) neurons subject to Gaussian noise. The analysis is based…

Disordered Systems and Neural Networks · Physics 2025-05-29 Yannick Feld , Alexander K. Hartmann , Alessandro Torcini

Neural networks with recurrent asymmetric couplings are important to understand how episodic memories are encoded in the brain. Here, we integrate the experimental observation of wide synaptic integration window into our model of sequence…

Neurons and Cognition · Quantitative Biology 2023-02-10 Zijian Jiang , Ziming Chen , Tianqi Hou , Haiping Huang

The dynamics of neural networks is often characterized by collective behavior and quasi-synchronous events, where a large fraction of neurons fire in short time intervals, separated by uncorrelated firing activity. These global temporal…

Disordered Systems and Neural Networks · Physics 2014-10-03 Raffaella Burioni , Mario Casartelli , Matteo di Volo , Roberto Livi , Alessandro Vezzani

We study the emergence of symmetric oscillatory behavior in multi-agent systems where each agent incorporates a continuous memory of its past states and past rates of change, modeled by distributed retarded and neutral delays. The…

Dynamical Systems · Mathematics 2026-04-23 Casey Crane

Recently, low-dimensional models of neuronal activity have been exactly derived for large networks of deterministic, Quadratic Integrate-and-Fire (QIF) neurons. Such firing rate models (FRM) describe the emergence of fast collective…

Neurons and Cognition · Quantitative Biology 2024-02-02 Pau Clusella , Ernest Montbrió

Spatiotemporal patterns such as traveling waves are frequently observed in recordings of neural activity. The mechanisms underlying the generation of such patterns are largely unknown. Previous studies have investigated the existence and…

Neurons and Cognition · Quantitative Biology 2022-09-16 Johanna Senk , Karolína Korvasová , Jannis Schuecker , Espen Hagen , Tom Tetzlaff , Markus Diesmann , Moritz Helias

Reasoning is the ability to integrate internal states and external inputs in a meaningful and semantically consistent flow. Contemporary machine learning (ML) systems increasingly rely on such sequential reasoning, from language…

Neural and Evolutionary Computing · Computer Science 2026-03-06 Simone Betteti , Giacomo Baggio , Sandro Zampieri

Randomly-connected networks of integrate-and-fire (IF) neurons are known to display asynchronous irregular (AI) activity states, which resemble the discharge activity recorded in the cerebral cortex of awake animals. However, it is not…

Neurons and Cognition · Quantitative Biology 2009-10-27 Alain Destexhe

Concurrent estimation and control of robotic systems remains an ongoing challenge, where controllers rely on data extracted from states/parameters riddled with uncertainties and noises. Framework suitability hinges on task complexity and…

Robotics · Computer Science 2023-10-09 Reza Ahmadvand , Sarah Safura Sharif , Yaser Mike Banad

Dynamics and function of neuronal networks are determined by their synaptic connectivity. Current experimental methods to analyze synaptic network structure on the cellular level, however, cover only small fractions of functional neuronal…

Neurons and Cognition · Quantitative Biology 2015-07-28 Yury V. Zaytsev , Abigail Morrison , Moritz Deger

Information coding by precise timing of spikes can be faster and more energy-efficient than traditional rate coding. However, spike-timing codes are often brittle, which has limited their use in theoretical neuroscience and computing…

Neural and Evolutionary Computing · Computer Science 2019-01-24 E. Paxon Frady , Friedrich T. Sommer

We study bifurcations in networks of integrate-and-fire neurons with stochastic spike emission, focusing on the effects of the spatial and temporal structure of the synaptic interactions. Using a deterministic mean-field approximation of…

Neurons and Cognition · Quantitative Biology 2026-05-19 Lauren Forbes , Jared Grossman , Montie Avery , Ryan Goh , Gabriel Koch Ocker

By controlling the state of neuronal populations, neuromodulators ultimately affect behaviour. A key neuromodulation mechanism is the alteration of neuronal excitability via the modulation of ion channel expression. This type of…

Neurons and Cognition · Quantitative Biology 2020-09-29 Tomas Van Pottelbergh , Guillaume Drion , Rodolphe Sepulchre

The population activity of random networks of excitatory and inhibitory leaky integrate-and-fire (LIF) neurons has been studied extensively. In particular, a state of asynchronous activity with low firing rates and low pairwise correlations…

Neurons and Cognition · Quantitative Biology 2015-06-03 Volker Pernice , Benjamin Staude , Stefano Cardanobile , Stefan Rotter

We study the collective dynamics of a Leaky Integrate and Fire network in which precise relative phase relationship of spikes among neurons are stored, as attractors of the dynamics, and selectively replayed at differentctime scales. Using…

Neurons and Cognition · Quantitative Biology 2012-10-26 Silvia Scarpetta , Ferdinando Giacco

Dense Associative Memories or modern Hopfield networks permit storage and reliable retrieval of an exponentially large (in the dimension of feature space) number of memories. At the same time, their naive implementation is non-biological,…

Neurons and Cognition · Quantitative Biology 2021-04-29 Dmitry Krotov , John Hopfield

Chemical and electrical synapses shape the dynamics of neuronal networks. Numerous theoretical studies have investigated how each of these types of synapses contributes to the generation of neuronal oscillations, but their combined effect…

Adaptation and Self-Organizing Systems · Physics 2019-10-30 Bastian Pietras , Federico Devalle , Alex Roxin , Andreas Daffertshofer , Ernest Montbrió

Dense Associative Memories or Modern Hopfield Networks have many appealing properties of associative memory. They can do pattern completion, store a large number of memories, and can be described using a recurrent neural network with a…

Neural and Evolutionary Computing · Computer Science 2021-07-29 Dmitry Krotov

This work studies how brain-inspired neural ensembles equipped with local Hebbian plasticity can perform active inference (AIF) in order to control dynamical agents. A generative model capturing the environment dynamics is learned by a…

Neural and Evolutionary Computing · Computer Science 2023-06-23 Ali Safa , Tim Verbelen , Lars Keuninckx , Ilja Ocket , André Bourdoux , Francky Catthoor , Georges Gielen , Gert Cauwenberghs

We study dynamics of a reverberating neural net by means of computer simulation. The net, which is composed of 9 leaky integrate-and-fire (LIF) neurons arranged in a square lattice, is fully connected with interneuronal communication delay…

Neurons and Cognition · Quantitative Biology 2023-06-16 A. Vidybida , O. Shchur