O. Faugeras and
R. Veltz
** Bifurcation theory can predict behaviours of large assemblies of neurons**
*
2024
*
RIS,
BibTex

R. Veltz
** A mean-field model of two-dimensional nonlinear integrate-and-fire neurons**
*
2024
*
RIS,
BibTex

S. Habiib and
R. Veltz
** Theoretical / numerical study of modulated traveling pulses in inhibition stabilized networks**
*
2024
*
RIS,
BibTex

Y. E. Rodrigues,
H. Marie,
C. O’Donnell, and
R. Veltz
** A stochastic model of hippocampal synaptic plasticity with geometrical readout of enzyme dynamics**
*Elife,
2023
*
URL,
github,
RIS,
BibTex

R. Veltz
** Theoretical / numerical study of modulated traveling pulses in inhibition stabilized networks**
,
*Paris NFW 23,
2023
*

M. Chafaï,
A. Delrocq,
P. Inquimbert,
L. Pidoux,
K. Delanoe,
M. Toft,
F. Brau,
E. Lingueglia,
*et al.*

** Dual contribution of ASIC1a channels in the spinal processing of pain information by deep projection neurons revealed by computational modeling**
*PLOS Computational Biology (Publisher: Public Library of Science),
***19**(4),
2023
calcium channels
functional electrical stimulation
neuronal dendrites
neurons
pain
potassium channels
spinal cord
transfection
URL,
DOI,
RIS,
BibTex

R. Veltz
** Theoretical / numerical study of modulated traveling pulses in inhibition stabilized networks**
,
*IHP Paris,
2023
*

O. Faugeras,
A. Song, and
R. Veltz
** Spatial and color hallucinations in a mathematical model of primary visual cortex**
*CRAS,
2022
*
URL,
DOI,
arxiv,
RIS,
BibTex

R. Veltz
** Snaking of spatially localized visual hallucinations in a model of primary visual cortex**
*
2021
*
RIS,
BibTex

R. Veltz
** Invariant manifolds in singular perturbation problems for infinite dimensional dynamical systems**
*
2021
*
RIS,
BibTex

Q. Cormier,
E. Tanré, and
R. Veltz
** Hopf bifurcation in a Mean-Field model of spiking neurons**
*
2020
*
Arxiv,
RIS,
BibTex

A. Drogoul and
R. Veltz
** Exponential stability of the stationary distribution of a mean field of spiking neural network**
*Journal of Differential Equations,
2020
*
URL,
DOI,
Hal-INRIA,
RIS,
BibTex

A. Dolcemascolo,
A. Miazek,
R. Veltz,
F. Marino, and
S. Barland
** Effective low-dimensional dynamics of a mean-field coupled network of slow-fast spiking lasers**
*Phys. Rev. E,
***101**,
2020
URL,
DOI,
RIS,
BibTex

D. Avitabile,
M. Desroches,
R. Veltz, and
M. Wechselberger
** Local theory for spatio-temporal canards and delayed bifurcations**
*SIAM Journal on Mathematical Analysis,
***52**(6),
2020
RIS,
BibTex

Q. Cormier,
E. Tanré, and
R. Veltz
** Long time behavior of a mean-field model of interacting neurons**
*Stochastic Processes and their Applications,
2019
*
mathematics - probability
URL,
DOI,
Arxiv,
RIS,
BibTex

B. Aymard,
F. Campillo, and
R. Veltz
** Mean-field limit of interacting 2D nonlinear stochastic spiking neurons**
*arXiv e-prints,
2019
*
mathematics - numerical analysis
Arxiv,
RIS,
BibTex

N. Fournier,
E. Tanré, and
R. Veltz
** On a toy network of neurons interacting through their dendrites**
*Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques,
2019
*
URL,
Arxiv,
RIS,
BibTex

A. Song,
O. Faugeras, and
R. Veltz
** A neural field model for color perception unifying assimilation and contrast**
*PLOS Computational Biology,
2019
*
URL,
RIS,
BibTex

T. Górski,
R. Veltz,
M. Galtier,
H. Fragnaud,
J. S. Goldman,
B. Teleńczuk, and
A. Destexhe
** Dendritic sodium spikes endow neurons with inverse firing rate response to correlated synaptic activity**
*Journal of Computational Neuroscience,
***45**(3),
2018
URL,
DOI,
RIS,
BibTex

A. Dolcemascolo,
B. Garbin,
B. Peyce,
R. Veltz, and
S. Barland
** Resonator neuron and triggering multipulse excitability in laser with injected signal**
*Phys. Rev. E,
***98**,
2018
URL,
DOI,
RIS,
BibTex

A. Drogoul and
R. Veltz
** Hopf bifurcation in a nonlocal nonlinear transport equation stemming from stochastic neural dynamics**
*Chaos: An Interdisciplinary Journal of Nonlinear Science,
***27**(2),
2017
URL,
DOI,
RIS,
BibTex

R. Veltz and
T. J. Sejnowski
** Periodic Forcing of Inhibition-Stabilized Networks: Nonlinear Resonances and Phase-Amplitude Coupling**
*Neural Computation,
***27**(12),
2477-2509,
2015
oscillation
gamma band
theta band
URL,
DOI,
PDF,
RIS,
BibTex

R. Veltz
** A new twist for the simulation of hybrid systems using the true jump method**
*arXiv [math],
2015
*
mathematics - numerical analysis
URL,
RIS,
BibTex

R. Veltz and
O. Faugeras
** ERRATUM: A Center Manifold Result for Delayed Neural Fields Equations**
*SIAM Journal on Mathematical Analysis,
***47**(2),
2015
URL,
DOI,
RIS,
BibTex

R. Veltz,
P. Chossat, and
O. Faugeras
** On the Effects on Cortical Spontaneous Activity of the Symmetries of the Network of Pinwheels in Visual Area V1**
*The Journal of Mathematical Neuroscience (JMN),
***5**(1),
2015
visual hallucinations
invariant torus
poincaré–hopf
URL,
DOI,
RIS,
BibTex

J. Rankin,
E. Tlapale,
R. Veltz,
O. Faugeras, and
P. Kornprobst
** Bifurcation analysis applied to a model of motion integration with a multistable stimulus**
*Journal of computational neuroscience,
***34**(1),
2013
RIS,
BibTex

R. Veltz and
O. Faugeras
** A center manifold result for delayed neural fields equations**
*SIAM Journal on Mathematical Analysis,
***45**(3),
2013
RIS,
BibTex

J. M. Cortes,
M. Desroches,
S. Rodrigues,
R. Veltz,
M. A. Munoz, and
T. J. Sejnowski
** Short-term synaptic plasticity in the deterministic Tsodyks-Markram model leads to unpredictable network dynamics**
*Proceedings of the National Academy of Sciences,
***110**(41),
2013
URL,
RIS,
BibTex

R. Veltz
** Interplay between synaptic delays and propagation delays in neural field equations**
*SIAM Journal on Applied Dynamical Systems,
***12**(3),
2013
URL,
RIS,
BibTex

R. Veltz and
O. Faugeras
** Stability of the stationary solutions of neural field equations with propagation delays**
*The Journal of Mathematical Neuroscience (JMN),
***1**(1),
2011
URL,
RIS,
BibTex

R. Veltz
** An analytical method for computing Hopf bifurcation curves in neural field networks with space-dependent delays**
*Comptes Rendus Mathematique,
***349**(13),
2011
URL,
PDF,
RIS,
BibTex

R. Veltz and
O. Faugeras
** Local/global analysis of the stationary solutions of some neural field equations**
*SIAM Journal on Applied Dynamical Systems,
***9**(3),
2010
RIS,
BibTex

R. Veltz and
O. Faugeras
** Illusions in the ring model of visual orientation selectivity**
*arXiv preprint arXiv:1007.2493,
2010
*
URL,
RIS,
BibTex

O. Faugeras,
R. Veltz, and
F. Grimbert
** Persistent neural states: stationary localized activity patterns in nonlinear continuous n-population, q-dimensional neural networks**
*Neural computation,
***21**(1),
2009
URL,
PDF,
RIS,
BibTex

R. Veltz
** Some results concerning a mean field of a network of 2d spiking neurons**
,
*Topics on Neuroscience, Collective Migration and Parameter Estimation, Oxford,
2023
*

R. Veltz
** Theoritical study of a mean-field model of two-dimensional nonlinear integrate-and-fire neurons**
,
*ANR Chamane,
2023
*

R. Veltz
** Towards calculating bifurcations for networks of AdEx mean-field models with delays**
,
*Seminar A. Destexhe,
2023
*

R. Veltz
** A Showcase of the New Functionalities of BifurcationKit.jl**
,
*SIAM CSE23, Invited talk,
2023
*

R. Veltz
** Some recent results on a mean field of a network of 2d spiking neurons**
,
*Mathematical modeling and statistical analysis in neuroscience,
2022
*

O. D. Faugeras,
A. Song, and
R. Veltz
** Spatial and color hallucinations in a mathematical model of primary visual cortex**
,
*
2021
*

R. Veltz
** BifurcationKit.jl: bifurcation analysis of large scale systems**
,
*JuliaCon21 invited talk.,
2021
*

R. Veltz
** Automatic numerical bifurcation analysis using BifurcationKit**
,
*SIAM DS21, Invited talk,
2021
*

R. Veltz
** Mean field Models of noisy spiking neurons and BifurcationKit**
,
*Invited talk, University of Cologne,
2021
*

R. Veltz
** Automatic numerical bifurcation analysis with applications to neurosciences using BifurcationKit**
,
*SIAM CSE21, Invited talk,
2021
*

R. Veltz
** Mean field study of stochastic spiking neural networks**
,
*CMS Winter Meeting, Invited talk,
2020
*

R. Veltz
** Analysis of a mean field of 2d spiking neurons, theory and numerics**
,
*International Meeting UK-France Programme, Royal Society,
2019
*

R. Veltz
** Models of neurons interacting through nonlinear dendritic compartments**
,
*Seminaire LJAD,
2018
*

R. Veltz
** On a toy network of neurons interacting through nonlinear dendritic compartments**
,
*jmgambaudo60, invited talk,
2018
*

R. Veltz
** On a toy network of neurons interacting through nonlinear dendritic compartments**
,
*ICMNS 2018, invited talk.,
2018
*

R. Veltz
** On a toy network of neurons interacting through nonlinear dendritic compartments**
,
*Mean-field approaches to the dynamics of neuronal networks, EITN,
2018
*

R. Veltz
** On a toy network of neurons interacting through nonlinear dendritic compartments**
,
*Random Structures on the Brain, Lorentz Center in Leiden, The Netherlands,
2017
*

R. Veltz
** Hopf bifurcation in the mean field of a stochastic spiking neural networks**
,
*EITN - Paris,
2017
*

R. Veltz
** Oscillatory dynamics in a stochastic spiking neural network**
,
*BANFF: Brain Dynamics and Statistics, Alberta Canada,
2017
*

R. Veltz
** How somatic spikes are influenced by nonlinear active dendrites**
,
*ICMNS, plenary talk.,
2015
*

R. Veltz
** On the effects of the pinwheel network symmetries on cortical response**
,
*NicePhysicsDays (Nice),
2015
*

R. Veltz
** On the effects of the pinwheel network symmetries on cortical response**
,
*Geometrical Models in Vision, IHP, PARIS,
2014
*

R. Veltz
** Dynamics induced by long-range connections in the primary visual cortex**
,
*AIMS Conference (Madrid),
2014
*

R. Veltz
** Two examples of temporal rhythms generated by neural mass/field equations**
,
*Centre for Math. Medicine and Biology, University of Nottingham,
2013
*

R. Veltz
** Invariant tori coming from the interplay between synaptic delays and propagation delays**
,
*CNS Paris,
2013
*

R. Veltz
** Interplay between synaptic delays and propagation delays in neural fields equations**
,
*Mathemacs Meeting,
2013
*

R. Veltz
** Study of a particular working regime for a simple model of V1**
,
*GDR Vision (Marseille),
2011
*

M. Clerc,
R. Veltz,
D. Guiraud,
J. L. Divoux, and
others
** The 3d potential induced by functional electrical stimulation with multi-contact cuff electrodes: simulation and validation**
*International Functional Electrical Stimulation Society Conference,
2008
*
RIS,
BibTex

R. Veltz
** BifurcationKit.jl**
*
Inria Sophia-Antipolis,
2020
*
pseudo-arclength-continuation
periodic-orbits
floquet
gpu
bifurcation-diagram
deflation
newton-krylov
URL,
RIS,
BibTex