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In many real-world oscillator systems, the phase response curves are highly heterogeneous. However, dynamics of heterogeneous oscillator networks has not been seriously addressed. We propose a theoretical framework to analyze such a system…

Pattern Formation and Solitons · Physics 2009-11-13 Yasuhiro Tsubo , Jun-nosuke Teramae , Tomoki Fukai

Rich, spontaneous brain activity has been observed across a range of different temporal and spatial scales. These dynamics are thought to be important t for efficient neural functioning. Experimental evidence suggests that these neural…

Neurons and Cognition · Quantitative Biology 2015-01-21 Peter J. Hellyer , Barbara Jachs , Robert Leech , Claudia Clopath

Cognition is supported by neurophysiological processes that occur both in local anatomical neighborhoods and in distributed large-scale circuits. Recent evidence from network control theory suggests that white matter pathways linking…

Neurons and Cognition · Quantitative Biology 2016-06-30 John D. Medaglia , Shi Gu , Fabio Pasqualetti , Rebecca L. Ashare , Caryn Lerman , Joseph Kable , Danielle S. Bassett

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

Deep neural networks have surpassed human performance in key visual challenges such as object recognition, but require a large amount of energy, computation, and memory. In contrast, spiking neural networks (SNNs) have the potential to…

Computer Vision and Pattern Recognition · Computer Science 2022-06-23 Melani Sanchez-Garcia , Tushar Chauhan , Benoit R. Cottereau , Michael Beyeler

Small inhibitory neuronal circuits have long been identified as key neuronal motifs to generate and modulate the coexisting rhythms of various motor functions. Our paper highlights the role of a cellular switching mechanism to orchestrate…

Neurons and Cognition · Quantitative Biology 2018-02-20 Guillaume Drion , Alessio Franci , Rodolphe Sepulchre

Networks of fast-spiking interneurons are crucial for the generation of neural oscillations in the brain. Here we study the synchronous behavior of interneuronal networks that are coupled by delayed inhibitory and fast electrical synapses.…

Neurons and Cognition · Quantitative Biology 2012-06-22 Daqing Guo , Qingyun Wang , Matjaz Perc

The dynamical properties of a diluted fully-inhibitory network of pulse-coupled neurons are investigated. Depending on the coupling strength, two different phases can be observed. At low coupling the evolution rapidly converges towards…

Disordered Systems and Neural Networks · Physics 2009-11-11 Ruediger Zillmer , Roberto Livi , Antonio Politi , Alessandro Torcini

Propagation of oscillatory signals through the cortex and coherence is shaped by the connectivity structure of neuronal circuits. This study systematically investigates the network and stimulus properties that shape network responses. The…

Neurons and Cognition · Quantitative Biology 2017-04-28 Hannah Bos , Jannis Schücker , Moritz Helias

Spontaneous cortical population activity exhibits a multitude of oscillatory patterns, which often display synchrony during slow-wave sleep or under certain anesthetics and stay asynchronous during quiet wakefulness. The mechanisms behind…

Neurons and Cognition · Quantitative Biology 2018-06-20 Rodrigo F. O. Pena , Michael A. Zaks , Antonio C. Roque

Networks of randomly connected neurons are among the most popular models in theoretical neuroscience. The connectivity between neurons in the cortex is however not fully random, the simplest and most prominent deviation from randomness…

Neurons and Cognition · Quantitative Biology 2018-07-09 Daniel Martí , Nicolas Brunel , Srdjan Ostojic

Brain functions require both segregated processing of information in specialized circuits, as well as integration across circuits to perform high-level information processing. One possible way to implement these seemingly opposing demands…

When a neuron fires and the resulting action potential travels down its axon toward other neurons' dendrites, the effect on each of those neurons is mediated by the weight of the synapse that separates it from the firing neuron. This…

Neurons and Cognition · Quantitative Biology 2010-02-19 Andre Nathan , Valmir C. Barbosa

Neuroscience has long informed the development of artificial neural networks, but the success of modern architectures invites, in turn, the converse: can modern networks teach us lessons about brain function? Here, we examine the structure…

Neurons and Cognition · Quantitative Biology 2026-03-17 Peter Koenig , Mario Negrello

Performing more tasks in parallel is a typical feature of complex brains. These are characterized by the coexistence of excitatory and inhibitory synapses, whose percentage in mammals is measured to have a typical value of 20-30\%. Here we…

Neurons and Cognition · Quantitative Biology 2015-08-25 Vittorio Capano , Hans J. Herrmann , Lucilla de Arcangelis

Spiking Transformers, which combine the scalability of Transformers with the sparse, energy-efficient property of Spiking Neural Networks (SNNs), have achieved impressive results in neuromorphic and vision tasks and attracted increasing…

Neural and Evolutionary Computing · Computer Science 2026-04-14 Chenlin Zhou , Sihang Guo , Jiaqi Wang , Dongyang Ma , Kaiwei Che , Baiyu Chen , Qingyan Meng , Zhengyu Ma , Yonghong Tian

The brain naturally binds events from different sources in unique concepts. It is hypothesized that this process occurs through the transient mutual synchronization of neurons located in different regions of the brain when the stimulus is…

We study the synchronisation of neurons in a realistic model under the Hodgkin-Huxley dynamics. To focus on the role of the different locations of the excitatory synapses, we use two identical neurons where the set of input signals is…

Neurons and Cognition · Quantitative Biology 2024-09-17 Alessandro Fiasconaro , Michele Migliore

We study a problem of designing ``robust'' external excitations for control and synchronization of an assembly of homotypic harmonic oscillators representing so-called theta neurons. The model of theta neurons (Theta model) captures, in…

Optimization and Control · Mathematics 2024-09-23 Roman Chertovskih , Nikolay Pogodaev , Maxim Staritsyn , Joaquim Da Silva Sewane , Antonio Pedro Aguiar

Spiking neural networks drawing inspiration from biological constraints of the brain promise an energy-efficient paradigm for artificial intelligence. However, challenges exist in identifying guiding principles to train these networks in a…

Neural and Evolutionary Computing · Computer Science 2024-04-25 Joseph A. Kilgore , Jeffrey D. Kopsick , Giorgio A. Ascoli , Gina C. Adam