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Living systems implement and execute an extraordinary plethora of computational tasks. The inherent degree of large scale coordination emerges as a global property, from the intricate sea of microscopic interactions. The brain, with its…

无序系统与神经网络 · 物理学 2018-01-03 Duccio Fanelli , Francesco Ginelli , Roberto Livi , Niccolò Zagli , Clement Zankoc

Oscillatory activities are widely observed in specific frequency bands of recorded field potentials in different brain regions, and play critical roles in processing neural information. Understanding the structure of these oscillatory…

神经元与认知 · 定量生物学 2015-07-23 Pengsheng Zheng

Shunting inhibitory cellular neural networks (SICNNs) with continuous as well as discontinuous external inputs are investigated. The descriptions of homoclinic and heteroclinic motions are provided in the functional sense for the…

混沌动力学 · 物理学 2016-09-23 Mehmet Onur Fen , Fatma Tokmak Fen

Heterogeneity is a ubiquitous property of many biological systems and has profound implications for computation. While it is conceivable to optimize neuronal and synaptic heterogeneity for a specific task, such top-down optimization is…

机器学习 · 计算机科学 2025-12-02 Arash Golmohammadi , Jannik Luboeinski , Christian Tetzlaff

Neural computation is associated with the emergence, reconfiguration and dissolution of cell assemblies in the context of varying oscillatory states. Here, we describe the complex spatio-temporal dynamics of cell assemblies through temporal…

神经元与认知 · 定量生物学 2020-01-20 Nicola Pedreschi , Christophe Bernard , Wesley Clawson , Pascale Quilichini , Alain Barrat , Demian Battaglia

This article describes a numerical procedure designed to tune the parameters of periodically-driven dynamical systems to a state in which they exhibit rich dynamical behavior. This is achieved by maximizing the diversity of subharmonic…

混沌动力学 · 物理学 2017-02-13 Leandro M. Alonso

Topological techniques have become a popular tool for studying information flows in neural networks. In particular, simplicial homology theory is used to analyze how cognitive representations of space emerge from large conglomerates of…

神经元与认知 · 定量生物学 2025-02-19 Andrey Babichev , Vladimir Vashin , Yuri Dabaghian

Serotonergic, noradrenergic and dopaminergic brainstem (including midbrain) neurons, often exhibit spontaneous and fairly regular spiking with frequencies of order a few Hz, though dopaminergic and noradrenergic neurons only exhibit such…

神经元与认知 · 定量生物学 2017-04-18 Henry C. Tuckwell , Ying Zhou , Nicholas J. Penington

The functioning of an organ such as the brain emerges from interactions between its constituent parts. Further, this interaction is not immutable in time but rather unfolds in a succession of patterns, thereby allowing the brain to adapt to…

神经元与认知 · 定量生物学 2021-06-02 Emmanuelle Tognoli , Daniela Benites , J. A. Scott Kelso

Spatiotemporal flows of neural activity, such as traveling waves, have been observed throughout the brain since the earliest recordings; yet there is still little consensus on their functional role. Recent experiments and models have linked…

神经元与认知 · 定量生物学 2026-02-03 T. Anderson Keller , Lyle Muller , Terrence J. Sejnowski , Max Welling

Transient and equilibrium synchronizations in complex neuronal networks as a consequence of dynamics induced by having sources placed at specific neurons are investigated. The basic integrate-and-fire neuron is adopted, and the dynamics is…

神经元与认知 · 定量生物学 2008-02-18 Luciano da Fontoura Costa

The central nervous system is composed of many individual units -- from cells to areas -- that are connected with one another in a complex pattern of functional interactions that supports perception, action, and cognition. One natural and…

神经元与认知 · 定量生物学 2017-04-03 Ann E. Sizemore , Danielle S. Bassett

In the present work, electroencephalographic recordings of healthy human participants were performed to study the entrainment of brainwaves using a variety of stimulus. First, periodic entrainment of the brainwaves was studied using two…

神经元与认知 · 定量生物学 2019-01-04 Richa Phogat , P. Parmananda

In systems where one coordinate undergoes periodic oscillation, the net displacement in any other coordinate over a single period is shown to be given by differentiation of the action integral associated with the oscillating coordinate.…

经典物理 · 物理学 2015-05-19 Rory J. Perkins , Paul M. Bellan

A hallmark of human intelligence is the ability to adapt to new situations, by applying learned rules to new content (systematicity) and thereby enabling an open-ended number of inferences and actions (generativity). Here, we propose that…

神经元与认知 · 定量生物学 2021-08-10 Randall C. O'Reilly , Charan Ranganath , Jacob L. Russin

A minimalistic model of the half-center oscillator is proposed. Within it, we consider dynamics of two excitable neurons interacting by means of the excitatory coupling. In the parameter space of the model, we identify the regions of…

动力系统 · 数学 2021-03-02 A. G. Korotkov , T. A. Levanova , M. A. Zaks , G. V. Osipov

Traveling waves of neural activity are widely observed in the brain, but their precise computational function remains unclear. One prominent hypothesis is that they enable the transfer and integration of spatial information across neural…

计算机视觉与模式识别 · 计算机科学 2025-06-12 Mozes Jacobs , Roberto C. Budzinski , Lyle Muller , Demba Ba , T. Anderson Keller

The human brain is a dynamical system whose extremely complex sensor-driven neural processes give rise to conceptual, logical cognition. Understanding the interplay between nonlinear neural dynamics and concept-level cognition remains a…

神经与进化计算 · 计算机科学 2024-11-19 Herbert Jaeger

Partial synchronization plays a crucial role in the functioning of neuronal networks: selective, coordinated activation of neurons enables information processing that flexibly adapts to a changing computational context. Since the structure…

神经元与认知 · 定量生物学 2025-06-17 Daniil Radushev , Olesia Dogonasheva , Boris Gutkin , Denis Zakharov

Human cognition emerges from coordinated spiking dynamics in distributed neural circuits, where information is encoded via both firing rates and precise spike timing determined by brain rhythms. Inspired by this notion, we propose a…

神经元与认知 · 定量生物学 2026-05-05 Tingting Dan , Guorong Wu