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We investigate numerically the collective dynamical behavior of pulse-coupled non-leaky integrate-and-fire-neurons that are arranged on a two-dimensional small-world network. To ensure ongoing activity, we impose a probability for…

Computational Physics · Physics 2012-02-15 Alexander Rothkegel , Klaus Lehnertz

We propose dynamic scaling in temporal networks with heterogeneous activities and memory, and provide a comprehensive picture for the dynamic topologies of such networks, in terms of the modified activity-driven network model [H. Kim…

Statistical Mechanics · Physics 2018-06-29 Hyewon Kim , Meesoon Ha , Hawoong Jeong

Studies of the dynamics of nonlinear recurrent neural networks often assume independent and identically distributed couplings, but large-scale connectomics data indicate that biological neural circuits exhibit markedly different…

Neurons and Cognition · Quantitative Biology 2025-10-28 David G. Clark , Owen Marschall , Alexander van Meegen , Ashok Litwin-Kumar

We consider the influence of local noise on a generalized network of populations having positive and negative feedbacks. The population dynamics at the nodes is nonlinear, typically chaotic, and allows cessation of activity if the…

Chaotic Dynamics · Physics 2014-12-03 Anshul Choudhary , Vivek Kohar , Sudeshna sinha

We consider a population that experienced a first wave of infections, interrupted by strong, top-down, governmental restrictions and did not develop a significant immunity to prevent a second wave (i.e. resurgence). As restrictions are…

Physics and Society · Physics 2021-07-21 Nicolò Gozzi , Martina Scudeler , Daniela Paolotti , Andrea Baronchelli , Nicola Perra

Distributed networks of brain areas interact with one another in a time-varying fashion to enable complex cognitive and sensorimotor functions. Here we use novel network analysis algorithms to test the recruitment and integration of…

Neurons and Cognition · Quantitative Biology 2014-03-25 Danielle S. Bassett , Muzhi Yang , Nicholas F. Wymbs , Scott T. Grafton

Recent years have seen the world become a closely connected society with the emergence of different types of social networks. Online social networks have provided a way to bridge long distances and establish numerous communication channels…

Social and Information Networks · Computer Science 2014-11-03 Mohammad Ayub Latif , Muhammad Naveed , Faraz Zaidi

Deep neural networks give us a powerful method to model the training dataset's relationship between input and output. We can regard that as a complex adaptive system consisting of many artificial neurons that work as an adaptive memory as a…

Disordered Systems and Neural Networks · Physics 2024-05-08 Kenichi Nakazato

This thesis is a compendium of research which brings together ideas from the fields of Complex Networks and Computational Neuroscience to address two questions regarding neural systems: 1) How the activity of neurons, via synaptic changes,…

Neurons and Cognition · Quantitative Biology 2013-02-19 Samuel Johnson

Temporal-network models have provided key insights into how time-varying connectivity shapes dynamical processes such as spreading. Among them, the activity-driven model is a widely used, analytically tractable benchmark. Yet many temporal…

Physics and Society · Physics 2025-11-20 Zsófia Simon , Jari Saramäki

We introduce bio-inspired artificial neural networks consisting of neurons that are additionally characterized by spatial positions. To simulate properties of biological systems we add the costs penalizing long connections and the proximity…

Neural and Evolutionary Computing · Computer Science 2019-10-08 Maciej Wołczyk , Jacek Tabor , Marek Śmieja , Szymon Maszke

The hippocampus has the capacity for reactivating recently acquired memories [1-3] and it is hypothesized that one of the functions of sleep reactivation is the facilitation of consolidation of novel memory traces [4-11]. The dynamic and…

Neurons and Cognition · Quantitative Biology 2015-06-26 Piotr Jablonski , Gina R. Poe , Michal Zochowski

Intrinsic brain activity is characterized by highly structured co-activations between different regions, whose origin is still under debate. In this paper, we address the question whether it is possible to unveil how the underlying…

Dynamical balance of excitation and inhibition is usually invoked to explain the irregular low firing activity observed in the cortex. We propose a robust nonlinear balancing mechanism for a random network of spiking neurons, which works…

Disordered Systems and Neural Networks · Physics 2025-05-29 Antonio Politi , Alessandro Torcini

Recurrently coupled oscillators that are sufficiently heterogeneous and/or randomly coupled can show an asynchronous activity in which there are no significant correlations among the units of the network. The asynchronous state can…

Neurons and Cognition · Quantitative Biology 2023-05-03 Jonas Ranft , Benjamin Lindner

We present an analytical framework that allows the quantitative study of statistical dynamic properties of networks with adaptive nodes that have memory and is used to examine the emergence of oscillations in networks with response…

Neurons and Cognition · Quantitative Biology 2017-07-18 Amir Goldental , Herut Uzan , Shira Sardi , Ido Kanter

Complex network theory provides a unifying framework for the study of structured dynamic systems. The current literature emphasizes a widely reported phenomenon of intermittent interaction among network vertices. In this paper, we introduce…

Social and Information Networks · Computer Science 2025-02-17 Ziyan Zeng , Minyu Feng , Pengfei Liu , Jurgen Kurths

We understand the dynamics of the world around us as by associating pairs of events, where one event has some influence on the other. These pairs of events can be aggregated into a web of memories representing our understanding of an…

Physics and Society · Physics 2010-09-03 Sungmin Lee , Verónica C Ramenzoni , Petter Holme

With the rapid growth of online social network sites (SNS), it has become imperative for platform owners and online marketers to investigate what drives content production on these platforms. However, previous research has found it…

Social and Information Networks · Computer Science 2018-11-28 Prasanta Bhattacharya , Tuan Q. Phan , Xue Bai , Edoardo Airoldi

Social learning is widely observed in many species. Less experienced agents copy successful behaviors, exhibited by more experienced individuals. Nevertheless, the dynamical mechanisms behind this process remain largely unknown. Here we…

Dynamical Systems · Mathematics 2024-02-08 Carlos Calvo Tapia , Ivan Y. Tyukin , Valeriy A. Makarov Slizneva