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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…

Neurons and Cognition · Quantitative Biology 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…

Optimization and Control · Mathematics 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…

Probability · Mathematics 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…

Emerging Technologies · Computer Science 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…

Systems and Control · Computer Science 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…

Optimization and Control · Mathematics 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…

Chaotic Dynamics · Physics 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…

Probability · Mathematics 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…

Analysis of PDEs · Mathematics 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…

Quantum Physics · Physics 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…

Systems and Control · Computer Science 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…

Disordered Systems and Neural Networks · Physics 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…

Optimization and Control · Mathematics 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…

Systems and Control · Electrical Eng. & Systems 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…

Neurons and Cognition · Quantitative Biology 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…

Quantum Physics · Physics 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…

Neurons and Cognition · Quantitative Biology 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…

Neurons and Cognition · Quantitative Biology 2026-05-13 Vicky Zhu , Gabriel Ocker , Robert Rosenbaum