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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…

Nature is abundant in oscillatory activity, with oscillators that have the remarkable ability of synchronizing to external events. Using electrocorticographic (ECoG) recordings from a subject rhythmically producing consonant-vowel syllables…

Neurons and Cognition · Quantitative Biology 2017-05-05 Joaquin Rapela

We analyze partial synchronization patterns in a network of FitzHugh-Nagumo oscillators with empirical structural connectivity measured in healthy human subjects. We report a dynamical asymmetry between the hemispheres, induced by the…

Adaptation and Self-Organizing Systems · Physics 2019-07-17 Lukas Ramlow , Jakub Sawicki , Anna Zakharova , Jaroslav Hlinka , Jens Christian Claussen , Eckehard Schöll

Random networks of symmetrically coupled, excitable elements can self-organize into coherently oscillating states if the networks contain loops (indeed loops are abundant in random networks) and if the initial conditions are sufficiently…

Disordered Systems and Neural Networks · Physics 2015-05-19 Patrick McGraw , Michael Menzinger

The spontaneous generation of electrical activity underpins a number of essential physiological processes, and is observed even in tissues where specialized pacemaker cells have not been identified. The emergence of periodic oscillations in…

Adaptation and Self-Organizing Systems · Physics 2022-02-01 Ria Ghosh , Shakti N. Menon

Neuro-inspired models and systems have great potential for applications in unconventional computing. Often, the mechanisms of biological neurons are modeled or mimicked in simulated or physical systems in an attempt to harness some of the…

Neural and Evolutionary Computing · Computer Science 2021-10-18 Jørgen Jensen Farner , Håkon Weydahl , Ruben Jahren , Ola Huse Ramstad , Stefano Nichele , Kristine Heiney

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

Among the versatile forms of dynamical patterns of activity exhibited by the brain, oscillations are one of the most salient and extensively studied, yet are still far from being well understood. In this paper, we provide various structural…

Systems and Control · Electrical Eng. & Systems 2021-08-12 Erfan Nozari , Robert Planas , Jorge Cortes

Oscillations are a hallmark of neural population activity in various brain regions with a spectrum covering a wide range of frequencies. Within this spectrum gamma oscillations have received particular attention due to their ubiquitous…

Neurons and Cognition · Quantitative Biology 2020-01-22 Hongjie Bi , Marco Segneri , Matteo di Volo , Alessandro Torcini

We have designed a toy brain and have written computer code that simulates it. This toy brain is flexible, modular, has hierarchical learning and recognition, has short and long term memory, is distributed (i.e. has no central control), is…

Neurons and Cognition · Quantitative Biology 2007-05-23 B. Hoeneisen , F. Pasmay

Sequential activation of neurons is a common feature of network activity during a variety of behaviors, including working memory and decision making. Previous network models for sequences and memory emphasized specialized architectures in…

Neurons and Cognition · Quantitative Biology 2016-03-16 Kanaka Rajan , Christopher D Harvey , David W Tank

Motivated by EEG recordings of normal brain activity, we construct arbitrarily large McCulloch-Pitts neural networks that, without any external input, make every subset of their neurons fire in some iteration (and therefore in infinitely…

Dynamical Systems · Mathematics 2015-06-11 Vašek Chvátal , Mark Goldsmith

Neuromorphic computing uses brain-inspired principles to design circuits that can perform computational tasks with superior power efficiency to conventional computers. Approaches that use traditional electronic devices to create artificial…

Applied Physics · Physics 2020-07-14 J. Grollier , D. Querlioz , K. Y. Camsari , K. Everschor-Sitte , S. Fukami , M. D. Stiles

Over the past decade Spiking Neural Networks (SNN) have emerged as one of the popular architectures to emulate the brain. In SNN, information is temporally encoded and communication between neurons is accomplished by means of spikes. In…

Emerging Technologies · Computer Science 2016-12-14 Abhronil Sengupta , Aparajita Banerjee , Kaushik Roy

We study the interplay between diversity and noise in a 3D network of FitzHugh-Nagumo elements, with topology and dimensions chosen to model a pancreatic beta-cell cluster, as an example of an excitable cell network. Our results show that…

Biological Physics · Physics 2022-03-30 Stefano Scialla , Marco Patriarca , Els Heinsalu

This paper presents a method for reproducing a simple central pattern generator (CPG) using a modified Echo State Network (ESN). Conventionally, the dynamical reservoir needs to be damped to stabilize and preserve memory. However, we find…

Neural and Evolutionary Computing · Computer Science 2023-06-21 Tham Yik Foong , Danilo Vasconcellos Vargas

A method for engineering the behavior of populations of rhythmic elements is presented. The framework, which is based on phase models, allows a nonlinear time-delayed global feedback signal to be constructed which produces an interaction…

Adaptation and Self-Organizing Systems · Physics 2010-10-26 Hiroshi Kori , Craig G. Rusin , Istvan Z. Kiss , John L. Hudson

We propose a biologically inspired model of spiking neurons based on the dynamics of a damped, driven pendulum. Unlike traditional models such as the Leaky Integrate-and-Fire (LIF) neurons, the pendulum neuron incorporates second-order,…

Neural and Evolutionary Computing · Computer Science 2025-07-31 Joy Bose

Activity in coupled systems is often oscillatory, for example, the firing pattern of neuronal populations. Whereas these oscillations have been studied predominantly in local circuits, here we show how the topology of large-scale networks,…

Neurons and Cognition · Quantitative Biology 2014-05-15 Marcus Kaiser

We study the rhythmogenesis of oscillatory patterns emerging in network motifs composed of inhibitory coupled tonic spiking neurons represented by the Plant model of R15 nerve cells. Such motifs are argued to be used as building blocks for…

Neurons and Cognition · Quantitative Biology 2015-03-27 D. Alacam , A. L. Shilnikov