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Hopfield models, originally developed to study memory retrieval in neural networks, have become versatile tools for modeling diverse biological systems in which function emerges from collective dynamics. In this review, we provide a…

Biological Physics · Physics 2025-06-17 Maria Yampolskaya , Pankaj Mehta

The analysis of complex networks has revealed patterns of organization in a variety of natural and artificial systems, including neuronal networks of the brain at multiple scales. In this paper, we describe a novel analysis of the…

Neurons and Cognition · Quantitative Biology 2015-06-26 Luciano da F. Costa , Olaf Sporns

Neural mass models describe the mean-field dynamics of populations of neurons. In this work we illustrate how fundamental ideas of physics, such as energy and conserved quantities, can be explored for such models. We show that…

Neurons and Cognition · Quantitative Biology 2025-09-15 Daniele Andrean , Morten Gram Pedersen

Understanding how decision making changes across the lifespan is a central challenge for neuroscience, yet research on cognitive aging has remained largely disconnected from the theoretical and computational advances that now shape modern…

Neurons and Cognition · Quantitative Biology 2026-03-04 Michael B. Ryan , Letizia Ye , Anne K. Churchland

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 introduce a novel approach to endowing neural networks with emergent, long-term, large-scale memory. Distinct from strategies that connect neural networks to external memory banks via intricately crafted controllers and hand-designed…

Machine Learning · Computer Science 2020-08-18 Tri Huynh , Michael Maire , Matthew R. Walter

When the human brain manifests the birth of organised communication among local and large-scale neuronal populations activity remains undescribed. We report, in resting-state EEG source-estimates of 100 infants at term age, the existence of…

Neurons and Cognition · Quantitative Biology 2020-09-08 Steve Mehrkanoon

Network theory provides a principled abstraction of the human brain: reducing a complex system into a simpler representation from which to investigate brain organisation. Recent advancement in the neuroimaging field are towards representing…

Neurons and Cognition · Quantitative Biology 2016-03-23 A. W. Chung , M. D. Schirmer , M. L. Krishna , G. Ball , P. Aljabar , A. D. Edwards , G. Montana

Project and task scheduling under uncertainty remains a fundamental challenge in program and project management, where accurate estimation of task durations and dependencies is critical for delivering complex, multi project systems. The…

Machine Learning · Computer Science 2025-05-09 Azgar Ali Noor Ahamed

Deep convolutional neural networks (CNNs) trained on objects and scenes have shown intriguing ability to predict some response properties of visual cortical neurons. However, the factors and computations that give rise to such ability, and…

Neurons and Cognition · Quantitative Biology 2018-06-11 Md Nasir Uddin Laskar , Luis G Sanchez Giraldo , Odelia Schwartz

Evolving Neural Networks (NNs) has recently seen an increasing interest as an alternative path that might be more successful. It has many advantages compared to other approaches, such as learning the architecture of the NNs. However, the…

Neural and Evolutionary Computing · Computer Science 2022-03-15 Abdullah Khalili , Abdelhamid Bouchachia

A model of the columnar functional organization of neocortical association areas is studied. The neuronal network is composed of many Hebbian autoassociators, or modules, each of which interacts with a relatively small number of the others.…

Disordered Systems and Neural Networks · Physics 2020-05-14 Carlo Fulvi Mari

Neural population equations such as neural mass or field models are widely used to study brain activity on a large scale. However, the relation of these models to the properties of single neurons is unclear. Here we derive an equation for…

Neurons and Cognition · Quantitative Biology 2017-04-24 Tilo Schwalger , Moritz Deger , Wulfram Gerstner

The human brain is a complex system defined by multi-way, higher-order interactions invisible to traditional pairwise network models. Although a diverse array of analytical methods has been developed to address this shortcoming, the field…

Quantitative Methods · Quantitative Biology 2025-11-11 Mohamma Reza Salehi , Ali BashirGonbadi , Hamid Soltanian-Zadeh

Neural or cortical fields are continuous assemblies of mesoscopic models, also called neural masses, of neural populations that are fundamental in the modeling of macroscopic parts of the brain. Neural fields are described by nonlinear…

Dynamical Systems · Mathematics 2010-09-22 Romain Veltz , Olivier Faugeras

The richness of many complex systems stems from the interactions among their components. The higher-order nature of these interactions, involving many units at once, and their temporal dynamics constitute crucial properties that shape the…

Physics and Society · Physics 2024-07-29 Marco Mancastroppa , Iacopo Iacopini , Giovanni Petri , Alain Barrat

This paper proposes the External Hippocampus framework, which models language model reasoning from a cognitive dynamics perspective as the flow of information energy in semantic space. Unlike traditional weight-space optimization methods,…

Artificial Intelligence · Computer Science 2025-12-29 Jian Yan

Macroscopic studies of cortical tissue reveal a prevalence of oscillatory activity, that reflect a fine tuning of neural interactions. This research extends neural field theories by incorporating generalized oscillatory dynamics into…

Neurons and Cognition · Quantitative Biology 2024-10-23 Gerald K. Cooray , Vernon Cooray , Karl J. Friston

Spatial systems with heterogeneities are ubiquitous in nature, from precipitation, temperature and soil gradients controlling vegetation growth to morphogen gradients controlling gene expression in embryos. Such systems, generally described…

Dynamical Systems · Mathematics 2023-05-10 Denis D. Patterson , Simon A. Levin , A. Carla Staver , Jonathan D. Touboul

The ability of nonlinear dynamical systems to process incoming information is a key problem of many fundamental and applied sciences. Information processing by computation with attractors (steady states, limit cycles and strange attractors)…

Chaotic Dynamics · Physics 2015-06-26 Valentin S. Afraimovich , Mikhail I. Rabinovich , Pablo Varona
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