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We present a study on the emergence of a variety of spatio temporal patterns among neurons that are connected in a multiplex framework, with neurons on two layers with different functional couplings. With the Hindmarsh-Rose model for the…

适应与自组织系统 · 物理学 2021-11-29 Umesh Kumar Verma , G. Ambika

In this contribution, we have considered the collective behavior of the two as well as the network of heterogeneous coupled Hindmarsh Rose (HR) neurons. The heterogeneous models were made of a memristive 2D (HR) and the traditional 3D HR…

神经元与认知 · 定量生物学 2023-02-24 Zeric Tabekoueng Njitacke , Sishu Shankar Muni , Soumyajit Seth , Jan Awrejcewicz , Jacques Kengne

We report the phenomenon of frequency clustering in a network of Hodgkin-Huxley neurons with spike timing-dependent plasticity. The clustering leads to a splitting of a neural population into a few groups synchronized at different…

适应与自组织系统 · 物理学 2019-12-20 Vera Röhr , Rico Berner , Ewandson L. Lameu , Oleksandr V. Popovych , Serhiy Yanchuk

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…

混沌动力学 · 物理学 2007-05-23 Mikhail V. Ivanchenko , Grigory V. Osipov , Vladimir D. Shalfeev , Jurgen Kurths

Synchronized oscillations in networks of inhibitory and excitatory coupled bursting neurons are common in a variety of neural systems from central pattern generators to human brain circuits. One example of the latter is the subcortical…

神经元与认知 · 定量生物学 2011-09-21 Choongseok Park , Leonid L. Rubchinsky

We consider a scale-free network of inhibitory Hindmarsh-Rose (HR) bursting neurons, and investigate coupling-induced cluster burst synchronization by varying the average coupling strength $J_0$. For sufficiently small $J_0$, non-cluster…

神经元与认知 · 定量生物学 2019-04-02 Sang-Yoon Kim , Woochang Lim

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…

混沌动力学 · 物理学 2024-12-31 Ardhanareeswaran R Sree , Sudharsan S , Senthilvelan M , Dibakar Ghosh

We study a network of spiking neurons with heterogeneous excitabilities connected via inhibitory delayed pulses. For globally coupled systems the increase of the inhibitory coupling reduces the number of firing neurons by following a Winner…

无序系统与神经网络 · 物理学 2019-05-29 Stefano Luccioli , David Angulo Garcia , Alessandro Torcini

Information needs to be appropriately encoded to be reliably transmitted over physical media. Similarly, neurons have their own codes to convey information in the brain. Even though it is well-known that neurons exchange information using a…

神经元与认知 · 定量生物学 2018-10-18 Chris G. Antonopoulos , Ezequiel Bianco-Martinez , Murilo S. Baptista

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…

神经元与认知 · 定量生物学 2009-11-13 Ramana Dodla , Charles J. Wilson

We study the stability and information encoding capacity of synchronized states in a neuronal network model that represents part of thalamic circuitry. Our model neurons have a Hodgkin-Huxley-type low threshold Calcium channel, display post…

统计力学 · 物理学 2007-05-23 P. H. E. Tiesinga , Jorge V. José

The modular and hierarchical organization of the brain is believed to support the coexistence of segregated (specialization) and integrated (binding) information processes. A relevant question is yet to understand how such architecture…

神经元与认知 · 定量生物学 2025-06-19 Raphaël Bergoin , Alessandro Torcini , Gustavo Deco , Mathias Quoy , Gorka Zamora-López

Coupling among neural rhythms is one of the most important mechanisms at the basis of cognitive processes in the brain. In this study we consider a neural mass model, rigorously obtained from the microscopic dynamics of an inhibitory…

适应与自组织系统 · 物理学 2020-06-24 Andrea Ceni , Simona Olmi , Alessandro Torcini , David Angulo-Garcia

For modeling complex synaptic connectivity, we consider the Watts-Strogatz small-world network which interpolates between regular lattice and random network via rewiring, and investigate the effect of small-world connectivity on emergence…

神经元与认知 · 定量生物学 2014-07-11 Sang-Yoon Kim , Woochang Lim

We study the emergence of the traveling chimera state in a two-dimensional network of Hindmarsh-Rose burst neurons with the mutual presence of local and non-local couplings. We show that in the unique presence of the non-local chemical…

斑图形成与孤子 · 物理学 2021-07-14 Gael R. Simo , Patrick Louodop , Dibakar Ghosh , Thierry Njougou , Robert Tchitnga , Hilda A. Cerdeira

We study analytically the dynamics of a network of sparsely connected inhibitory integrate-and-fire neurons in a regime where individual neurons emit spikes irregularly and at a low rate. In the limit when the number of neurons N tends to…

无序系统与神经网络 · 物理学 2007-05-23 N. Brunel , V. Hakim

Complexity in the temporal organization of neural systems may be a reflection of the diversity of its neural constituents. These constituents, excitatory and inhibitory neurons, comprise an invariant ratio in vivo and form the substrate for…

神经元与认知 · 定量生物学 2015-05-18 Xin Chen , Rhonda Dzakpasu

In this paper, we have introduced and investigated the collective behavior of a network of memristive Hindmarsh-Rose (HR) neurons. The proposed model was built considering the memristive autapse of the traditional 2D HR neuron. Using the…

适应与自组织系统 · 物理学 2022-11-18 Sishu Shankar Muni , Zeric Tabekoueng Njitacke , Cyrille Feudjio , Theophile Fozin , Jan Awrejcewicz

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…

软凝聚态物质 · 物理学 2007-05-23 Yuqing Wang , Z. D. Wang , Y. -X. Li , X. Pei

Developing networks of neural systems can exhibit spontaneous, synchronous activities called neural bursts, which can be important in the organization of functional neural circuits. Before the network matures, the activity level of a burst…

神经元与认知 · 定量生物学 2017-05-24 Chih-Hsu Huang , Yu-Ting Huang , Chun-Chung Chen , C. K. Chan
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