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hal-00845727
v1
Journal articles
Romain Veltz
.
An analytical method for computing Hopf bifurcation curves in neural field networks with space-dependent delays
Comptes Rendus Mathématique
, Elsevier Masson, 2011, 349 (13-14), pp.749--752.
⟨10.1016/j.crma.2011.06.014⟩
hal-01096590
v2
Journal articles
Romain Veltz
,
Terrence J. Sejnowski
.
Periodic Forcing of Inhibition-Stabilized Networks: Nonlinear Resonances and Phase-Amplitude Coupling
Neural Computation
, Massachusetts Institute of Technology Press (MIT Press), 2015, 27 (12),
⟨10.1162/NECO_a_00786⟩
hal-01653178
v1
Journal articles
Tomasz Gorski
,
Romain Veltz
,
Mathieu Galtier
,
Helissande Fragnaud
,
Jennifer S. Goldman
et al.
Dendritic sodium spikes endow neurons with inverse firing rate response to correlated synaptic activity.
Journal of Computational Neuroscience
, Springer Verlag, 2018, 45 (3), pp.223-234.
⟨10.1007/s10827-018-0707-7⟩
hal-00845593
v1
Journal articles
James Rankin
,
Emilien Tlapale
,
Romain Veltz
,
Olivier Faugeras
,
Pierre Kornprobst
.
Bifurcation analysis applied to a model of motion integration with a multistable stimulus
Journal of Computational Neuroscience
, Springer Verlag, 2013, 34 (1), pp.103-124.
⟨10.1007/s10827-012-0409-5⟩
hal-00331618
v1
Conference papers
Romain Veltz
,
Olivier Faugeras
.
Bifurcations in neural masses
Deuxième conférence française de Neurosciences Computationnelles, "Neurocomp08"
, Oct 2008, Marseille, France
hal-02170948
v1
Preprints, Working Papers, ...
Benjamin Aymard
,
Fabien Campillo
,
Romain Veltz
.
Mean-field limit of interacting 2D nonlinear stochastic spiking neurons
2019
hal-01652036
v1
Poster communications
Pascal Helson
,
Etienne Tanré
,
Romain Veltz
.
A simple spiking neuron model based on stochastic STDP
International Conference on Mathematical Neuroscience
, May 2017, Boulder, United States
inria-00198808
v3
Reports
Olivier Faugeras
,
Romain Veltz
,
François Grimbert
.
Persistent neural states: stationary localized activity patterns in nonlinear continuous $n$-population, $q$-dimensional neural networks
[Research Report] RR-6393, INRIA. 2007, pp.37
hal-01412154
v1
Journal articles
Audric Drogoul
,
Romain Veltz
.
Hopf bifurcation in a nonlocal nonlinear transport equation stemming from stochastic neural dynamics
Chaos
, American Institute of Physics, 2017,
⟨10.1063/1.4976510⟩
lirmm-00344730
v1
Conference papers
Maureen Clerc
,
Romain Veltz
,
David Guiraud
,
Jean Louis Divoux
.
The 3D Potential Induced by Functional Electrical Stimulation with Multi-Contact Cuff Electrodes: Simulation and Validation
IFESS: International Functional Electrical Stimulation Society
, Sep 2008, Freiburg, Germany
hal-00719794
v2
Reports
Romain Veltz
,
Olivier Faugeras
.
A center manifold result for delayed neural fields equations
[Research Report] RR-8020, INRIA. 2012
hal-01950511
v1
Journal articles
Axel Dolcemascolo
,
Bruno Garbin
,
Bertrand Peyce
,
Romain Veltz
,
Stephane Barland
.
Resonator neuron and triggering multipulse excitability in laser with injected signal
Physical Review E
, American Physical Society (APS), 2018,
⟨10.1103/PhysRevE.98.062211⟩
hal-00646387
v2
Reports
James Rankin
,
Émilien Tlapale
,
Romain Veltz
,
Olivier Faugeras
,
Pierre Kornprobst
.
Bifurcation analysis applied to a model of motion integration with a multistable stimulus
[Research Report] RR-7822, INRIA. 2011, pp.39
hal-01653166
v1
Preprints, Working Papers, ...
Romain Veltz
.
Inverse correlation processing by neurons with active dendrites
2017
hal-02071874
v1
Software
Romain Veltz
.
PseudoArcLengthContinuation.jl
2019,
⟨swh:1:dir:9f85c8f51850028a9fbc03463c74de29a2d24c6c⟩
hal-00850391
v1
Journal articles
Romain Veltz
.
Interplay Between Synaptic Delays and Propagation Delays in Neural Field Equations
SIAM Journal on Applied Dynamical Systems
, Society for Industrial and Applied Mathematics, 2013, 12 (3), pp.1566-1612.
⟨10.1137/120889253⟩
hal-00712201
v1
Journal articles
Romain Veltz
,
Olivier Faugeras
.
Local/Global Analysis of the Stationary Solutions of Some Neural Field Equations
SIAM Journal on Applied Dynamical Systems
, Society for Industrial and Applied Mathematics, 2010, 9 (3), pp.954-998.
⟨10.1137/090773611⟩
hal-00850382
v1
Journal articles
Romain Veltz
,
Olivier Faugeras
.
A Center Manifold Result for Delayed Neural Fields Equations
SIAM Journal on Mathematical Analysis
, Society for Industrial and Applied Mathematics, 2013, 45 (3), pp.1527-1562.
⟨10.1137/110856162⟩
hal-01096598
v1
Journal articles
Romain Veltz
,
Olivier Faugeras
.
ERRATUM: A Center Manifold Result for Delayed Neural Fields Equations
SIAM Journal on Mathematical Analysis
, Society for Industrial and Applied Mathematics, 2015,
⟨10.1137/140962279⟩
hal-00780444
v2
Reports
Romain Veltz
.
Interplay between synaptic delays and propagation delays in neural fields equations
[Research Report] RR-8020, INRIA. 2013, pp.53
hal-00845733
v1
Conference papers
Olivier Faugeras
,
Romain Veltz
.
Constraining the design and operation of neural field models from basic principles
Workshop on Spatio-temporal evolution equations and neural fields
, 2011, Marseille, France
hal-00846138
v1
Preprints, Working Papers, ...
Romain Veltz
,
Olivier Faugeras
.
Illusions in the Ring Model of visual orientation selectivity
2010
hal-00845744
v1
Conference papers
Romain Veltz
,
Olivier Faugeras
.
Interplay between constant delays and space dependent delays in neural fields models
Brainscales General Meeting, Barcelona
, 2011, Barcelona, Spain
hal-01243615
v1
Preprints, Working Papers, ...
Romain Veltz
.
A new twist for the simulation of hybrid systems using the true jump method
2015
hal-00857699
v1
Journal articles
Jesus Cortes
,
Mathieu Desroches
,
Serafim Rodrigues
,
Romain Veltz
,
Miguel Muñoz
et al.
Short-term synaptic plasticity in the deterministic Tsodyks-Markram model leads to unpredictable network dynamics
Proceedings of the National Academy of Sciences of the United States of America
, National Academy of Sciences, 2013
hal-01290264
v2
Reports
Audric Drogoul
,
Romain Veltz
.
Exponential stability of the stationary distribution of a mean field of spiking neural network
[Research Report] RR-8899, INRIA Sophia Antipolis - Méditerranée. 2018
hal-01079055
v3
Journal articles
Romain Veltz
,
Pascal Chossat
,
Olivier Faugeras
.
On the effects on cortical spontaneous activity of the symmetries of the network of pinwheels in visual area V1.
Journal of Mathematical Neuroscience
, BioMed Central, 2015,
⟨10.1186/s13408-015-0023-8⟩
hal-00784425
v1
Journal articles
Romain Veltz
,
Olivier Faugeras
.
Stability of the stationary solutions of neural field equations with propagation delays
Journal of Mathematical Neuroscience
, BioMed Central, 2011, 1 (1), pp.1-28.
⟨10.1186/2190-8567-1-1⟩
hal-01909354
v1
Journal articles
Anna Song
,
Olivier Faugeras
,
Romain Veltz
.
A neural field model for color perception unifying assimilation and contrast
PLoS Computational Biology
, Public Library of Science, 2019, 15 (6),
⟨10.1371/journal.pcbi.1007050⟩
hal-01707663
v2
Journal articles
Nicolas Fournier
,
Etienne Tanré
,
Romain Veltz
.
On a toy network of neurons interacting through their dendrites
Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques
, Institute Henri Poincaré, In press
1
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