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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

This paper considers the synchronization problem for networks of coupled nonlinear dynamical systems under switching communication topologies. Two types of nonlinear agent dynamics are considered. The first one is non-expansive dynamics…

Systems and Control · Computer Science 2015-08-25 Tao Yang , Ziyang Meng , Guodong Shi , Yiguang Hong , Karl Henrik Johansson

We experimentally demonstrate that networks of identical photonic spiking neurons based on coupled degenerate parametric oscillators can show various chimera states, in which, depending on their local synchronization and desynchronization,…

Since humans still outperform artificial neural networks on many tasks, drawing inspiration from the brain may help to improve current machine learning algorithms. Contrastive Hebbian Learning (CHL) and Equilibrium Propagation (EP) are…

Neural and Evolutionary Computing · Computer Science 2022-05-02 Yoshimasa Kubo , Eric Chalmers , Artur Luczak

The synchronization behavior of networked chaotic oscillators with periodic coupling is investigated. It is observed in simulations that the network synchronizability could be significantly influenced by tuning the coupling frequency, even…

Chaotic Dynamics · Physics 2018-07-18 Sansan Li , Na Sun , Li Chen , Xingang Wang

This article investigates the emergence of phase synchronization in a network of randomly connected neurons by chemical synapses. The study uses the classic Hodgkin-Huxley model to simulate the neuronal dynamics under the action of a train…

Functional connectivity is a fundamental property of neural networks that quantifies the segregation and integration of information between cortical areas. Due to mathematical complexity, a theory that could explain how the parameters of…

Neurons and Cognition · Quantitative Biology 2016-05-27 Diego Fasoli , Anna Cattani , Stefano Panzeri

We investigate on the scalability of multihop wireless communications, a major concern in networking, for the case that users access content replicated across the nodes. In contrast to the standard paradigm of randomly selected…

Networking and Internet Architecture · Computer Science 2015-03-20 S. Gitzenis , G. S. Paschos , L. Tassiulas

The mathematical framework of multiplex networks has been increasingly realized as a more suitable framework for modelling real-world complex systems. In this work, we investigate the optimization of synchronizability in multiplex networks…

Adaptation and Self-Organizing Systems · Physics 2017-05-24 Sanjiv K. Dwivedi , Murilo S. Baptista , Sarika Jalan

We investigate the synchronization behavior and the emergence of chimera states in a system of two interacting populations of maps possessing chaotic neural-like dynamics. We characterize four collective states on the space of coupling…

Adaptation and Self-Organizing Systems · Physics 2024-07-31 V. J. Márquez-Rodríguez , K. Tucci , M. G. Cosenza

Real neurons connect to each other non-randomly. How the connectivity of networks of conductance-based neuron models like the classical Hodgkin-Huxley model, or the Morris-Lecar model, impacts synchronizability remains unknown. One powerful…

Neurons and Cognition · Quantitative Biology 2023-09-22 Wilten Nicola

We study fully synchronized states in scale-free networks of chaotic logistic maps as a function of both dynamical and topological parameters. Three different network topologies are considered: (i) random scale-free topology, (ii)…

Disordered Systems and Neural Networks · Physics 2009-11-10 Pedro G. Lind , Jason A. C. Gallas , Hans J. Herrmann

We discuss synchronization patterns in networks of FitzHugh-Nagumo and Leaky Integrate-and-Fire oscillators coupled in a two-dimensional toroidal geometry. Common feature between the two models is the presence of fast and slow dynamics, a…

Adaptation and Self-Organizing Systems · Physics 2017-04-05 Alexander Schmidt , Theodoros Kasimatis , Johanne Hizanidis , Astero Provata , Philipp Hövel

Traditional neural networks employ fixed weights during inference, limiting their ability to adapt to changing input conditions, unlike biological neurons that adjust signal strength dynamically based on stimuli. This discrepancy between…

Neural and Evolutionary Computing · Computer Science 2025-09-23 Ashhadul Islam , Abdesselam Bouzerdoum , Samir Brahim Belhaouari

In this research report, we examine the effects of small-world network organization on spike synchronization dynamics in networks of Izhikevich spiking units. We interpolate network organizations from regular ring lattices, through the…

Neural and Evolutionary Computing · Computer Science 2013-09-24 Derek Harter

The interplay between time scales and structural properties of complex networks of nonlinear oscillators can generate many interesting phenomena, like amplitude death, cluster synchronization, frequency synchronization etc. We study the…

Adaptation and Self-Organizing Systems · Physics 2019-04-23 Kajari Gupta , G. Ambika

We study the influence of network topology and connectivity on the synchronization properties of chaotic logistic maps, interacting with random delay times. Four different types of topologies are investigated: two regular (a ring-type and a…

Chaotic Dynamics · Physics 2007-05-23 Arturo C. Marti , C. Marcelo Ponce , Cristina Masoller

Fast cortical rhythms with stochastic and intermittent neural discharges have been observed in electric recordings of brain activity. Recently, Brunel et al. developed a framework to describe this kind of fast sparse synchronization in both…

Neurons and Cognition · Quantitative Biology 2014-09-03 Sang-Yoon Kim , Woochang Lim

We explore the synchronization behavior in interdependent systems, where the one-dimensional (1D) network (the intranetwork coupling strength $J_{\rm I}$) is ferromagnetically intercoupled (the strength $J$) to the Watts-Strogatz (WS)…

Disordered Systems and Neural Networks · Physics 2015-05-28 Jaegon Um , Petter Minnhagen , Beom Jun Kim

Synchronous firing of neurons is thought to play important functional roles such as feature binding and switching of cognitive states. Although synchronization has mainly been investigated using model neurons with simple connection topology…

Neurons and Cognition · Quantitative Biology 2024-11-26 Naoki Masuda , Kazuyuki Aihara