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 | 112 | 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 | 72 | 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 | 59 | 2013 |
BifurcationKit. jl R Veltz Inria Sophia-Antipolis, 2020 | 53* | 2020 |
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 | 53 | 2011 |
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 | 38 | 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 | 31 | 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 | 28 | 2018 |
A center manifold result for delayed neural fields equations R Veltz, O Faugeras SIAM Journal on Mathematical Analysis 45 (3), 1527-1562, 2013 | 28 | 2013 |
Hopf bifurcation in a Mean-Field model of spiking neurons Q Cormier, E Tanré, R Veltz Electronic Journal of Probability 26, 1-40, 2021 | 23 | 2021 |
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 | 22 | 2020 |
A neural field model for color perception unifying assimilation and contrast A Song, O Faugeras, R Veltz PLoS computational biology 15 (6), e1007050, 2019 | 22 | 2019 |
Periodic forcing of inhibition-stabilized networks: nonlinear resonances and phase-amplitude coupling R Veltz, TJ Sejnowski Neural computation 27 (12), 2477-2509, 2015 | 21 | 2015 |
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 | 18 | 2023 |
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 | 18 | 2011 |
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 | 17 | 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 | 17 | 2013 |
Nonlinear analysis methods in neural field models R Veltz Université Paris-Est, 2011 | 13 | 2011 |
Effective low-dimensional dynamics of a mean-field coupled network of slow-fast spiking lasers A Dolcemascolo, A Miazek, R Veltz, F Marino, S Barland Physical Review E 101 (5), 052208, 2020 | 12 | 2020 |
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 | 12 | 2017 |