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We examine the effect of the phase-resetting curve (PRC) on the transfer of correlated input signals into correlated output spikes in a class of neural models receiving noisy, super-threshold stimulation. We use linear response theory to…

神经元与认知 · 定量生物学 2015-05-13 Andrea K. Barreiro , Eric Shea-Brown , Evan L. Thilo

We consider a system that is exactly controllable. For given initial state, terminal state and objective function, an optimal control is often well-defined. Such an optimal control has the disadvantage that although it works perfectly well…

最优化与控制 · 数学 2013-07-08 Martin Gugat

Optimal control of levitated nanoparticles subjected to thermal fluctuations is a challenging problem, both theoretically and experimentally. In this Letter, we compute the time-dependent harmonic confining potential that steers, in a…

We prove the existence of a phase transition for a stochastic model of interacting neurons. The spiking activity of each neuron is represented by a point process having rate $1 $ whenever its membrane potential is larger than a threshold…

概率论 · 数学 2018-08-15 P. A. Ferrari , A. Galves , I. Grigorescu , E. Löcherbach

Neural coupled oscillators are a useful building block in numerous models and applications. They were analyzed extensively in theoretical studies and more recently, in biologically realistic simulations of spiking neural networks. The…

新兴技术 · 计算机科学 2021-09-16 Renate Krause , Joanne J. A. van Bavel , Chenxi Wu , Marc A. Vos , Alain Nogaret , Giacomo Indiveri

This paper studies the problem of frequency regulation in power grids under unknown and possible time-varying load changes, while minimizing the generation costs. We formulate this problem as an output agreement problem for distribution…

系统与控制 · 计算机科学 2015-10-01 Sebastian Trip , Mathias Bürger , Claudio De Persis

In power distribution systems, the growing penetration of renewable energy resources brings new challenges to maintaining voltage safety, which is further complicated by the limited model information of distribution systems. To address…

最优化与控制 · 数学 2021-03-30 Xin Chen , Jorge I. Poveda , Na Li

A simple model that replicates the dynamics of spiking and spiking-bursting activity of real biological neurons is proposed. The model is a two-dimensional map which contains one fast and one slow variable. The mechanisms behind generation…

混沌动力学 · 物理学 2009-11-07 Nikolai F. Rulkov

In this paper we present a simple microscopic stochastic model describing short term plasticity within a large homogeneous network of interacting neurons. Each neuron is represented by its membrane potential and by the residual calcium…

概率论 · 数学 2020-01-29 Antonio Galves , Eva Löcherbach , Christophe Pouzat , Errico Presutti

A distributed optimal control problem for an extended model of phase field type for tumor growth is addressed. In this model, the chemotaxis effects are also taken into account. The control is realized by two control variables that design…

偏微分方程分析 · 数学 2021-03-23 Pierluigi Colli , Andrea Signori , Jürgen Sprekels

Coherent control of harmonic generation was studied theoretically. A specific harmonic order was targeted. An optimal control theory was employed to find the driving field where restrictions were imposed on the frequency band. Additional…

量子物理 · 物理学 2013-01-04 Ido Schaefer , Ronnie Kosloff

This paper addresses the distributed optimal frequency control of power systems considering a network-preserving model with nonlinear power flows and excitation voltage dynamics. Salient features of the proposed distributed control strategy…

系统与控制 · 计算机科学 2018-02-14 Zhaojian Wang , Feng Liu , John Z. F. Pang , Steven Low , Shengwei Mei

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

Transcranial direct current stimulation is a non-invasive brain stimulation technique which modifies neural excitability by providing weak currents through scalp electrodes. The aim of this study is to introduce and analyze a novel…

最优化与控制 · 数学 2016-09-27 Sven Wagner , Martin Burger , Carsten H. Wolters

This paper presents development of an optimal feedback linearization control (OFLC) for interior permanent magnet (PM) synchronous machines operating in a non steady-sate operating point, i.e., varying torque and speed, to achieve precision…

系统与控制 · 电气工程与系统科学 2021-09-24 Farhad Aghili

Nonlinear dynamics of spiking neural networks has recently attracted much interest as an approach to understand possible information processing in the brain and apply it to artificial intelligence. Since information can be processed by…

We propose a discrete time dynamical system (a map) as phenomenological model of excitable and spiking-bursting neurons. The model is a discontinuous two-dimensional map. We find condition under which this map has an invariant region on the…

神经元与认知 · 定量生物学 2009-11-13 Maurice Courbage , V. I. Nekorkin , L. V. Vdovin

We consider the problem of maximizing the stored energy for a given charging duration in a quantum battery composed of a pair of spins-$1/2$ with Ising coupling starting from the spin-down state, using bounded transverse field control. We…

量子物理 · 物理学 2024-12-24 Vasileios Evangelakos , Emmanuel Paspalakis , Dionisis Stefanatos

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

Strongly coupled, recurrent, balanced network models have been successful in describing and predicting many phenomena observed in cortical neural recordings. However, most balanced network models use current-based synapse models in place of…

神经元与认知 · 定量生物学 2026-05-13 Vicky Zhu , Gabriel Ocker , Robert Rosenbaum