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Prethermal discrete time crystals (PDTCs) are a nonequilibrium state of matter characterized by long-range spatiotemporal order, and exhibiting a subharmonic response stabilized by many-body interactions under periodic driving. The inherent…

Neural circuits are able to perform computations under very diverse conditions and requirements. The required computations impose clear constraints on their fine-tuning: a rapid and maximally informative response to stimuli in general…

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…

斑图形成与孤子 · 物理学 2009-11-13 Yasuhiro Tsubo , Jun-nosuke Teramae , Tomoki Fukai

The presence of correlated noise, arising from a mixture of independent fluctuations and a common noisy input shared across the neural population, is a ubiquitous feature of neural circuits, yet its impact on collective network dynamics…

神经元与认知 · 定量生物学 2026-01-16 Hui Wang , Chunming Zheng

A new approach to investigate noise spikes due to regeneration in a relaxation oscillator is proposed. Noise spikes have not been satisfactorily accounted for in traditional phase noise models. This paper attempts to explain noise…

统计力学 · 物理学 2015-01-22 Bosco Leung

With the increasing penetration of renewable energy, frequency response and its security are of significant concerns for reliable power system operations. Frequency-constrained unit commitment (FCUC) is proposed to address this challenge.…

系统与控制 · 电气工程与系统科学 2021-10-14 Yichen Zhang , Hantao Cui , Jianzhe Liu , Feng Qiu , Tianqi Hong , Rui Yao , Fangxing Li

The functional significance of correlations between action potentials of neurons is still a matter of vivid debates. In particular it is presently unclear how much synchrony is caused by afferent synchronized events and how much is…

神经元与认知 · 定量生物学 2013-04-09 Matthias Schultze-Kraft , Markus Diesmann , Sonja Grün , Moritz Helias

Using a stochastic generalization of the Hodgkin–Huxley model, we consider the influence of intrinsic channel noise on the synchronization between the spiking activity of the excitable membrane and an externally applied periodic…

生物物理 · 物理学 2007-05-23 Gerhard Schmid , Igor Goychuk , Peter Hanggi

The dynamic range measures the capacity of a system to discriminate the intensity of an external stimulus. Such an ability is fundamental for living beings to survive: to leverage resources and to avoid danger. Consequently, the larger is…

神经元与认知 · 定量生物学 2012-05-02 Leonardo L. Gollo , Claudio Mirasso , Víctor M. Eguíluz

Neurons and networks in the cerebral cortex must operate reliably despite multiple sources of noise. To evaluate the impact of both input and output noise, we determine the robustness of single-neuron stimulus selective responses, as well…

神经元与认知 · 定量生物学 2018-01-24 Ran Rubin , L. F. Abbott , Haim Sompolinsky

We present an analytical framework that allows the quantitative study of statistical dynamic properties of networks with adaptive nodes that have memory and is used to examine the emergence of oscillations in networks with response…

神经元与认知 · 定量生物学 2017-07-18 Amir Goldental , Herut Uzan , Shira Sardi , Ido Kanter

A recurrent idea in the study of complex systems is that optimal information processing is to be found near bifurcation points or phase transitions. However, this heuristic hypothesis has few (if any) concrete realizations where a standard…

神经元与认知 · 定量生物学 2007-05-23 Osame Kinouchi , Mauro Copelli

Intracellular transmission of information via chemical and transcriptional networks is thwarted by a physical limitation: the finite copy number of the constituent chemical species introduces unavoidable intrinsic noise. Here we provide a…

分子网络 · 定量生物学 2010-08-27 Andrew Mugler , Aleksandra M. Walczak , Chris H. Wiggins

Young pulsars deviate from a perfectly regular spin-down by two non-deterministic phenomena: impulsive glitches and timing noise. Both phenomena are interesting per se, and may provide insights into the superfluid properties of neutron…

高能天体物理现象 · 物理学 2023-02-17 Marco Antonelli , Avishek Basu , Brynmor Haskell

A key question in neuroscience is at which level functional meaning emerges from biophysical phenomena. In most vertebrate systems, precise functions are assigned at the level of neural populations, while single-neurons are deemed…

神经元与认知 · 定量生物学 2017-03-17 Wieland Brendel , Ralph Bourdoukan , Pietro Vertechi , Christian K. Machens , Sophie Denéve

The theta rhythm is important for many cognitive functions including spatial processing, memory encoding, and memory recall. The information processing underlying these functions is thought to rely on consistent, phase-specific spiking…

神经元与认知 · 定量生物学 2025-10-16 Oleg Makarenkov , Marianne Bezaire , Michael Hasselmo

Our knowledge of the sensory world is encoded by neurons in sequences of discrete, identical pulses termed action potentials or spikes. There is persistent controversy about the extent to which the precise timing of these spikes is relevant…

神经元与认知 · 定量生物学 2007-05-23 Ilya Nemenman , Geoffrey D. Lewen , William Bialek , Rob R. de Ruyter van Steveninck

Neurons in the intact brain receive a continuous and irregular synaptic bombardment from excitatory and inhibitory pre-synaptic neurons, which determines the firing activity of the stimulated neuron. In order to investigate the influence of…

神经元与认知 · 定量生物学 2017-05-23 Simona Olmi , David Angulo-Garcia , Alberto Imparato , Alessandro Torcini

Stochastic differential equations describe well many physical, biological and sociological systems, despite the simplification often made in their derivation. Here the usage of simple stochastic differential equations to characterize and…

数据分析、统计与概率 · 物理学 2016-07-27 Daniel Pumpe , Maksim Greiner , Ewald Müller , Torsten A. Enßlin

Many biological systems can sense periodical variations in a stimulus input and produce well-timed, anticipatory responses after the input is removed. Such systems show memory effects for retaining timing information in the stimulus and…

神经元与认知 · 定量生物学 2015-09-09 Ying-Jen Yang , Chun-Chung Chen , Pik-Yin Lai , C. K. Chan