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We study a network model of two conductance-based pacemaker neurons of differing natural frequency, coupled with either mutual excitation or inhibition, and receiving shared random inhibitory synaptic input. The networks may phase-lock…

Neurons and Cognition · Quantitative Biology 2009-11-13 Ramana Dodla , Charles J. Wilson

We investigate the modes of oscillation of heterogeneous ring-networks of quadratic integrate-and-fire neurons with non-local, space-dependent coupling. Perturbations of the equilibrium state with a particular wave number produce transient…

Neurons and Cognition · Quantitative Biology 2017-11-15 Jose M. Esnaola-Acebes , Alex Roxin , Daniele Avitabile , Ernest Montbrió

The presence of noise in non linear dynamical systems can play a constructive role, increasing the degree of order and coherence or evoking improvements in the performance of the system. An example of this positive influence in a biological…

Dynamical Systems · Mathematics 2016-09-07 M. -P. Zorzano , L. Vazquez

We present a comparative study on Explosive Synchronization (ES) in temporal networks consisting of phase oscillators. The temporal nature of the networks is modeled with two configurations: (1) oscillators are allowed to move in a closed…

Adaptation and Self-Organizing Systems · Physics 2021-02-03 Tanu Singla , M. Rivera

Memristors have uses as artificial synapses and perform well in this role in simulations with artificial spiking neurons. Our experiments show that memristor networks natively spike and can exhibit emergent oscillations and bursting spikes.…

Materials Science · Physics 2014-03-11 Ella Gale , Ben de Lacy Costello , Andrew Adamatzky

The use of spikes to carry information between brain areas implies complete or partial synchronization of the neurons involved. The degree of synchronization reached by two coupled systems and the energy cost of maintaining their…

Chaotic Dynamics · Physics 2015-06-04 A. Moujahid , A. d'Anjou , F. J. Torrealdea

Multiple organs in a living system respond to environmental changes, and the signals from the organs regulate the physiological environment. Inspired by this biological feedback, we propose a simple autonomous system of active rotators to…

Statistical Mechanics · Physics 2020-03-02 Taegeun Song , Heetae Kim , Seung-Woo Son , Junghyo Jo

When brain signals are recorded in an electroencephalogram or some similar large-scale record of brain activity, oscillatory patterns are typically observed that are thought to reflect the aggregate electrical activity of the underlying…

Neurons and Cognition · Quantitative Biology 2013-06-04 Andre Nathan , Valmir C. Barbosa

Gap-junctional coupling is an important way of communication between neurons and other excitable cells. Strong electrical coupling synchronizes activity across cell ensembles. Surprisingly, in the presence of noise synchronous oscillations…

Adaptation and Self-Organizing Systems · Physics 2012-06-05 Georgi S. Medvedev , Svitlana Zhuravytska

Synchronization is a fundamental dynamical state of interacting oscillators, observed in natural biological rhythms and in the brain. Global synchronization which occurs when non-linear or chaotic oscillators placed on the nodes of a…

Statistical Mechanics · Physics 2025-10-22 Timoteo Carletti , Lorenzo Giambagli , Riccardo Muolo , Ginestra Bianconi

We study the statistical physics of a surprising phenomenon arising in large networks of excitable elements in response to noise: while at low noise, solutions remain in the vicinity of the resting state and large-noise solutions show…

Adaptation and Self-Organizing Systems · Physics 2020-04-01 Jonathan D. Touboul , Charlotte Piette , Laurent Venance , G. Bard Ermentrout

Constructing electronic models of neurons has several applications including reproducing dynamics of biological neurons and their networks and neuroprosthetics. In the brain, most neurons themselves are in a non-oscillatory mode, and brain…

Adaptation and Self-Organizing Systems · Physics 2023-05-09 Nikita M. Egorov , Marina V. Sysoeva , Vladimir I. Ponomarenko , Ilya V. Sysoev

We continue the work of a series of previous studies of a mathematical model that describes the mean-field limit behavior of a homogeneous network of excitatory point spiking neurons. Contrary to other models, here noise is intrinsic to the…

Neurons and Cognition · Quantitative Biology 2017-07-20 Guillem Via

Neural synchronization is believed to be critical for many brain functions. It frequently exhibits temporal variability, but it is not known if this variability has a specific temporal patterning. This study explores these…

Neurons and Cognition · Quantitative Biology 2013-03-11 Sungwoo Ahn , Leonid L. Rubchinsky

A network of propagating nonlinear oscillatory modes (waves) in the human brain is shown to generate collectively synchronized spiking activity (hypersynchronous spiking) when both amplitude and phase coupling between modes are taken into…

Biological Physics · Physics 2021-04-28 Vitaly L. Galinsky , Lawrence R. Frank

In this report, we investigate the synchronization of temporal activity in an electrically coupled neural network model. The electrical coupling is established by homotypic static gap-junctions (Connexin 43). Two distinct network…

Neurons and Cognition · Quantitative Biology 2007-05-23 Rajesh G Kavasseri , Radhakrishnan Nagarajan

The experimental study of neural networks requires simultaneous measurements of a massive number of neurons, while monitoring properties of the connectivity, synaptic strengths and delays. Current technological barriers make such a mission…

Neurons and Cognition · Quantitative Biology 2016-01-12 Amir Goldental , Pinhas Sabo , Shira Sardi , Roni Vardi , Ido Kanter

There are several indications that brain is organized not on a basis of individual unreliable neurons, but on a micro-circuital scale providing Lego blocks employed to create complex architectures. At such an intermediate scale, the firing…

Neural and Evolutionary Computing · Computer Science 2017-02-27 Ramin M. Hasani , Giorgio Ferrari , Hideaki Yamamoto , Sho Kono , Koji Ishihara , Soya Fujimori , Takashi Tanii , Enrico Prati

Biological systems use neural circuits to integrate input information and produce outputs. Synaptic convergence, where multiple neurons converge their inputs onto a single downstream neuron, is common in natural neural circuits. However,…

Mesoscale and Nanoscale Physics · Physics 2026-02-04 Wendy Otieno , Alex Gabbitas , Debi Pattnaik , Pavel Borisov , Sergey Savel'ev , Alexander G. Balanov

This study investigates remote synchronization in arbitrary network clusters of coupled nonlinear oscillators, a phenomenon inspired by neural synchronization in the brain. Employing a multi-faceted approach encompassing analytical,…

Systems and Control · Electrical Eng. & Systems 2025-05-01 Sanjeev Kumar Pandey , Neetish Patel