Romain Veltz
Romain Veltz
INRIA Sophia Antipolis
Verified email at - Homepage
Cited by
Cited by
Local/global analysis of the stationary solutions of some neural field equations
R Veltz, O Faugeras
SIAM Journal on Applied Dynamical Systems 9 (3), 954-998, 2010
Persistent Neural States: Stationary Localized Activity Patterns in Nonlinear Continuous n-Population, q-Dimensional Neural Networks
O Faugeras, R Veltz, F Grimbert
Neural computation 21 (1), 147-187, 2009
Short-term synaptic plasticity in the deterministic Tsodyks–Markram model leads to unpredictable network dynamics
JM Cortes, M Desroches, S Rodrigues, R Veltz, MA Muñoz, TJ Sejnowski
Proceedings of the National Academy of Sciences 110 (41), 16610-16615, 2013
Stability of the stationary solutions of neural field equations with propagation delays
R Veltz, O Faugeras
The Journal of Mathematical Neuroscience 1, 1-28, 2011
BifurcationKit. jl
R Veltz
Inria Sophia-Antipolis, 2020
Long time behavior of a mean-field model of interacting neurons
Q Cormier, E Tanré, R Veltz
Stochastic Processes and their Applications 130 (5), 2553-2595, 2020
Interplay between synaptic delays and propagation delays in neural field equations
R Veltz
SIAM Journal on Applied Dynamical Systems 12 (3), 1566-1612, 2013
A center manifold result for delayed neural fields equations
R Veltz, O Faugeras
SIAM Journal on Mathematical Analysis 45 (3), 1527-1562, 2013
Resonator neuron and triggering multipulse excitability in laser with injected signal
A Dolcemascolo, B Garbin, B Peyce, R Veltz, S Barland
Physical Review E 98 (6), 062211, 2018
Hopf bifurcation in a Mean-Field model of spiking neurons
Q Cormier, E Tanré, R Veltz
Electronic Journal of Probability 26, 1-40, 2021
Bifurcation analysis applied to a model of motion integration with a multistable stimulus
J Rankin, E Tlapale, R Veltz, O Faugeras, P Kornprobst
Journal of Computational Neuroscience 34, 103-124, 2013
A neural field model for color perception unifying assimilation and contrast
A Song, O Faugeras, R Veltz
PLoS computational biology 15 (6), e1007050, 2019
Periodic forcing of inhibition-stabilized networks: nonlinear resonances and phase-amplitude coupling
R Veltz, TJ Sejnowski
Neural computation 27 (12), 2477-2509, 2015
Local theory for spatio-temporal canards and delayed bifurcations
D Avitabile, M Desroches, R Veltz, M Wechselberger
SIAM Journal on Mathematical Analysis 52 (6), 5703-5747, 2020
An analytical method for computing Hopf bifurcation curves in neural field networks with space-dependent delays
R Veltz
Comptes Rendus Mathematique 349 (13-14), 749-752, 2011
A stochastic model of hippocampal synaptic plasticity with geometrical readout of enzyme dynamics
YE Rodrigues, CM Tigaret, H Marie, C O'Donnell, R Veltz
Elife 12, e80152, 2023
Exponential stability of the stationary distribution of a mean field of spiking neural network
A Drogoul, R Veltz
Journal of Differential Equations 270, 809-842, 2021
Nonlinear analysis methods in neural field models
R Veltz
Paris Est, 2011
Hopf bifurcation in a nonlocal nonlinear transport equation stemming from stochastic neural dynamics
A Drogoul, R Veltz
Chaos: An Interdisciplinary Journal of Nonlinear Science 27 (2), 2017
On the effects on cortical spontaneous activity of the symmetries of the network of pinwheels in visual area V1
R Veltz, P Chossat, O Faugeras
The Journal of Mathematical Neuroscience (JMN) 5, 1-28, 2015
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