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This work is part of an effort to understand the neural basis for our visual system's ability, or failure, to accurately track moving visual signals. We consider here a ring model of spiking neurons, intended as a simplified computational…

神经元与认知 · 定量生物学 2016-01-13 Guillaume Lajoie , Lai-Sang Young

How can precise control be realised in intrinsically noisy systems? Here, we develop a general theoretical framework that provides a way to achieve precise control in signal-dependent noisy environments. When the control signal has Poisson…

最优化与控制 · 数学 2015-06-15 Wenlian Lu , Jianfeng Feng , Shun-ichi Amari , David Waxman

Understanding how local perturbations induce the transient dynamics of a network of coupled units is essential to control and operate such systems. Often a perturbation initiated in one unit spreads to other units whose dynamical state they…

物理与社会 · 物理学 2021-06-02 Malte Schröder , Xiaozhu Zhang , Justine Wolter , Marc Timme

Understanding how humans control unstable systems is central to many research problems, with applications ranging from quiet standing to aircraft landing. Increasingly much evidence appears in favor of event-driven control hypothesis: human…

生物物理 · 物理学 2014-06-17 Arkady Zgonnikov , Ihor Lubashevsky , Shigeru Kanemoto , Toru Miyazawa , Takashi Suzuki

A complex interplay of single-neuron properties and the recurrent network structure shapes the activity of cortical neurons. The single-neuron activity statistics differ in general from the respective population statistics, including…

神经元与认知 · 定量生物学 2021-11-02 Alexander van Meegen , Sacha J. van Albada

Hippocampal neurons exhibit precise phase locking to network oscillations, but the computational principle governing this temporal precision is still unclear. Neural information is conveyed jointly by firing rates and spike timing, but…

神经元与认知 · 定量生物学 2026-03-23 Reza Ahmadvand , Sara Safura Sharif , Yaser Mike Banad

In this report trial-to-trial variations in the synchronized responses of neural networks are offered as evidence for excitation-inhibition ratio being a dynamic variable over time scales of minutes. Synchronized network responses to…

神经元与认知 · 定量生物学 2015-01-05 Netta Haroush , Shimon Marom

Brain rhythms contribute to every aspect of brain function. Here, we study critical and resonance phenomena that precede the emergence of brain rhythms. Using an analytical approach and simulations of a cortical circuit model of neural…

无序系统与神经网络 · 物理学 2015-06-12 A. V. Goltsev , M. A. Lopes , K. -E. Lee , J. F. F. Mendes

In a series of two papers, we investigate the mechanisms by which complex oscillations are generated in a class of nonlinear dynamical systems with resets modeling the voltage and adaptation of neurons. This first paper presents…

Chaos provides many interesting properties that can be used to achieve computational tasks. Such properties are sensitivity to initial conditions, space filling, control and synchronization. Chaotic neural models have been devised to…

神经与进化计算 · 计算机科学 2015-01-12 M. Alhawarat , T. Olde Scheper , N. T. Crook

Several studies have shown that bursting neurons can encode information in the number of spikes per burst: As the stimulus varies, so does the length of individual bursts. The represented stimuli, however, vary substantially among different…

神经元与认知 · 定量生物学 2013-03-22 Inés Samengo , Germán Mato , Daniel H. Elijah , Susanne Schreiber , Marcelo A. Montemurro

Complex frequency excitations, oscillating signals whose amplitude decreases exponentially in time, have recently been demonstrated to significantly increase the effective quality factor of mechanical resonators. In this work, we…

经典物理 · 物理学 2026-05-14 Wenbo Li , Raj Kumar Pal

For the retrieval dynamics of sparsely coded attractor associative memory models with synaptic noise the inclusion of a macroscopic time-dependent threshold is studied. It is shown that if the threshold is chosen appropriately as a function…

无序系统与神经网络 · 物理学 2007-05-23 D. Bolle' , R. Heylen

In this work, we derive a region-based self-triggered control (STC) scheme for nonlinear systems with bounded disturbances and model uncertainties. The proposed STC scheme is able to guarantee different performance specifications (e.g.…

系统与控制 · 电气工程与系统科学 2022-06-09 Giannis Delimpaltadakis , Manuel Mazo

We examine the effects of stochastic input currents on the firing behavior of two excitable neurons coupled with fast excitatory synapses. In such cells (models), typified by the quadratic integrate and fire model, mutual synaptic coupling…

神经元与认知 · 定量生物学 2007-07-31 Boris S. Gutkin , Juergen Jost , Henry C. Tuckwell

We consider a threshold-crossing spiking process as a simple model for the activity within a population of neurons. Assuming that these neurons are driven by a common fluctuating input with Gaussian statistics, we evaluate the…

神经元与认知 · 定量生物学 2009-06-11 Yoram Burak , Sam Lewallen , Haim Sompolinsky

Experimental evidence of intrinsic noise induced coherence resonance in a glow discharge plasma is being reported. Initially the system is started at a discharge voltage (DV) where it exhibited fixed point dynamics, and then with the…

等离子体物理 · 物理学 2015-06-23 Pankaj Kumar Shaw , D. Saha , S. Ghosh , M. S. Janaki , A. N. S. Iyengar

The effects of spike timing precision and dynamical behavior on error correction in spiking neurons were investigated. Stationary discharges -- phase locked, quasiperiodic, or chaotic -- were induced in a simulated neuron by presenting…

神经元与认知 · 定量生物学 2007-05-23 Michael Stiber

Neurons fire irregularly on multiple timescales when stimulated with a periodic pulse train. This raises two questions: Does this irregularity imply significant intrinsic stochasticity? Can existing neuron models be readily extended to…

细胞行为 · 定量生物学 2013-01-14 Daniel Soudry , Ron Meir

A discrete time crystal (DTC) is the paradigmatic example of a phase of matter that occurs exclusively in systems out of equilibrium. This phenomenon is characterized by the spontaneous symmetry breaking of discrete time-translation and…