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Bursting neurons are considered to be a potential cause of over-excitability and seizure susceptibility. The functional influence of these neurons in extended epileptic networks is still poorly understood. There is mounting evidence that…

Neurons and Cognition · Quantitative Biology 2016-10-07 Christian Geier , Alexander Rothkegel , Christian E. Elger , Klaus Lehnertz

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

We report on the origin of synchronized bursting dynamics in various networks of neural spiking oscillators, when a certain threshold in coupling strength is exceeded. These ensembles synchronize at relatively low coupling strength and lose…

Chaotic Dynamics · Physics 2007-05-23 Mikhail V. Ivanchenko , Grigory V. Osipov , Vladimir D. Shalfeev , Jurgen Kurths

Spontaneous, synchronous bursting of neural population is a widely observed phenomenon in nervous networks, which is considered important for functions and dysfunctions of the brain. However, how the global synchrony across a large number…

Neurons and Cognition · Quantitative Biology 2022-06-08 Satohiro Tajima , Takeshi Mita , Douglas J. Bakkum , Hirokazu Takahashi , Taro Toyoizumi

Many real-world complex systems rely on cluster synchronization to function properly. A cluster of nodes exhibits synchronous behavior while others behave erratically. Predicting the emergence of these clusters and understanding the…

Adaptation and Self-Organizing Systems · Physics 2023-09-19 Rodrigo M. Corder , Zheng Bian , Tiago Pereira , Antonio Montalban

The presence of synchronized clusters in neuron networks is a hallmark of information transmission and processing. The methods commonly used to study cluster synchronization in networks of coupled oscillators ground on simplifying…

Dynamical Systems · Mathematics 2020-07-09 Matteo Lodi , Fabio Della Rossa , Francesco Sorrentino , Marco Storace

We have studied neuronal synchronisation in a random network of adaptive exponential integrate-and-fire neurons. We study how spiking or bursting synchronous behaviour appears as a function of the coupling strength and the probability of…

Large ensembles of globally coupled chaotic neural networks undergo a transition to complete synchronization for high coupling intensities. The onset of this fully coherent behavior is preceded by a regime where clusters of networks with…

adap-org · Physics 2008-02-03 D. H. Zanette , A. S. Mikhailov

Synchronization is of central importance in power distribution, telecommunication, neuronal, and biological networks. Many networks are observed to produce patterns of synchronized clusters, but it has been difficult to predict these…

We report a new mechanism through which extreme events with a dragon king-like distribution emerge in a network of unidirectional ring of Hindmarsh-Rose bursting neurons interacting through chemical synapses. We establish and substantiate…

Chaotic Dynamics · Physics 2024-12-31 Ardhanareeswaran R Sree , Sudharsan S , Senthilvelan M , Dibakar Ghosh

Synchronization is studied in a spatially-distributed network of weekly-coupled, excitatory neurons of Hodgkin-Huxley type. All neurons are coupled to each other synaptically with a fixed time delay and a coupling strength inversely…

Soft Condensed Matter · Physics 2007-05-23 Yuqing Wang , Z. D. Wang , Y. -X. Li , X. Pei

Adaptive dynamical networks are ubiquitous in real-world systems. This paper aims to explore the synchronization dynamics in networks of adaptive oscillators based on a paradigmatic system of adaptively coupled phase oscillators. Our…

Adaptation and Self-Organizing Systems · Physics 2024-09-16 Mengke Wei , Andreas Amann , Oleksandr Burylko , Xiujing Han , Serhiy Yanchuk , Jürgen Kurths

Synchronization in networks of coupled oscillators is known to be largely determined by the spectral and symmetry properties of the interaction network. Here we leverage this relation to study a class of networks for which the threshold…

Adaptation and Self-Organizing Systems · Physics 2017-12-21 Takashi Nishikawa , Adilson E. Motter

We report experimental studies of synchronization phenomena in a pair of biological neurons that interact through naturally occurring, electrical coupling. When these neurons generate irregular bursts of spikes, the natural coupling…

The cooperative behavior of neurons and neuronal areas associated with the synchronization behavior proves to be a fundamental neural mechanism. In addition, abnormal levels of synchronization have been related to unhealthy neural…

Biological Physics · Physics 2023-11-16 Bruno R. R. Boaretto

We consider a clustered network with small-world sub-networks of inhibitory fast spiking interneurons, and investigate the effect of inter-modular connection on emergence of fast sparsely synchronized rhythms by varying both the…

Neurons and Cognition · Quantitative Biology 2015-12-02 Sang-Yoon Kim , Woochang Lim

We study the impact of interaction of nodes in a layer of a multiplex network on the dynamical behavior and cluster synchronization of these nodes in other layers. We find that nodes interactions in one layer affects the cluster…

Chaotic Dynamics · Physics 2014-12-18 Sarika Jalan , Aradhana Singh

Many networks of physical and biological interest are characterized by a long-range coupling mediated by a chemical which diffuses through a medium in which oscillators are embedded. We considered a one-dimensional model for this effect for…

The onset of synchronization in networks of networks is investigated. Specifically, we consider networks of interacting phase oscillators in which the set of oscillators is composed of several distinct populations. The oscillators in a…

Dynamical Systems · Mathematics 2009-11-13 Ernest Barreto , Brian Hunt , Edward Ott , Paul So

Neuronal network synchronization has received wide interests. Network connection structure is known to play a key role in its synchronization. In the present manuscript, we study the influence of initial membrane potentials together with…

Dynamical Systems · Mathematics 2021-12-14 Xiaoyue Wu , Congping lin , Yiwei Zhang
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