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Romain Veltz

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Publications

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Spatial and color hallucinations in a mathematical model of primary visual cortex

Olivier C Faugeras , Anna Song , Romain Veltz
Comptes Rendus. Mathématique, 2022, 360, pp.59-87. ⟨10.5802/crmath.289⟩
Journal articles hal-03388400v2
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Hopf bifurcation in a Mean-Field model of spiking neurons

Quentin Cormier , Etienne Tanré , Romain Veltz
Electronic Journal of Probability, 2021, 26, ⟨10.1214/21-EJP688⟩
Journal articles hal-02925025v2

Canard resonance: on noise-induced ordering of trajectories in heterogeneous networks of slow-fast systems

Otti d'Huys , Romain Veltz , Axel Dolcemascolo , Francesco Marino , Stephane Barland et al.
Journal of Physics: Photonics, In press, ⟨10.1088/2515-7647/abcbe3⟩
Journal articles hal-03047172v1

Effective low-dimensional dynamics of a mean-field coupled network of slow-fast spiking lasers

A. Dolcemascolo , A. Miazek , R. Veltz , F. Marino , Stephane Barland et al.
Physical Review E , 2020, 101 (5), ⟨10.1103/PhysRevE.101.052208⟩
Journal articles hal-03094317v1

Effective low-dimensional dynamics of a mean-field coupled network of slow-fast spiking lasers

Axel Dolcemascolo , Alexandre Miazek , Romain Veltz , Francesco Marino , Stéphane Barland et al.
Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, 2020, ⟨10.1103/PhysRevE.101.052208⟩
Journal articles hal-02402118v1
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On a toy network of neurons interacting through their dendrites

Nicolas Fournier , Etienne Tanré , Romain Veltz
Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques, 2020, 56 (2), pp.1041-1071. ⟨10.1214/19-AIHP993⟩
Journal articles hal-01707663v2
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Long time behavior of a mean-field model of interacting neurons

Quentin Cormier , Etienne Tanré , Romain Veltz
Stochastic Processes and their Applications, 2020, 130 (5), pp.2553-2593. ⟨10.1016/j.spa.2019.07.010⟩
Journal articles hal-01903857v3

Local theory for spatio-temporal canards and delayed bifurcations

Daniele Avitabile , Mathieu Desroches , Romain Veltz , Martin Wechselberger
SIAM Journal on Mathematical Analysis, 2020, 52 (6), pp.5703-5747. ⟨10.1137/19M1306610⟩
Journal articles hal-02412921v1
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A neural field model for color perception unifying assimilation and contrast

Anna Song , Olivier Faugeras , Romain Veltz
PLoS Computational Biology, 2019, 15 (6), ⟨10.1371/journal.pcbi.1007050⟩
Journal articles hal-01909354v1
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Exponential stability of the stationary distribution of a mean field of spiking neural network

Audric Drogoul , Romain Veltz
Journal of Differential Equations, 2018, ⟨10.1016/j.jde.2020.08.001⟩
Journal articles hal-01290264v2

Resonator neuron and triggering multipulse excitability in laser with injected signal

Axel Dolcemascolo , Bruno Garbin , Bertrand Peyce , Romain Veltz , Stephane Barland et al.
Physical Review E , 2018, ⟨10.1103/PhysRevE.98.062211⟩
Journal articles hal-01950511v1

Dendritic sodium spikes endow neurons with inverse firing rate response to correlated synaptic activity.

Tomasz Gorski , Romain Veltz , Mathieu Galtier , Helissande Fragnaud , Jennifer S. Goldman et al.
Journal of Computational Neuroscience, 2018, 45 (3), pp.223-234. ⟨10.1007/s10827-018-0707-7⟩
Journal articles hal-01653178v1

Hopf bifurcation in a nonlocal nonlinear transport equation stemming from stochastic neural dynamics

Audric Drogoul , Romain Veltz
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2017, ⟨10.1063/1.4976510⟩
Journal articles hal-01412154v1
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Periodic Forcing of Inhibition-Stabilized Networks: Nonlinear Resonances and Phase-Amplitude Coupling

Romain Veltz , Terrence J. Sejnowski
Neural Computation, 2015, 27 (12), ⟨10.1162/NECO_a_00786⟩
Journal articles hal-01096590v2
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On the effects on cortical spontaneous activity of the symmetries of the network of pinwheels in visual area V1.

Romain Veltz , Pascal Chossat , Olivier Faugeras
Journal of Mathematical Neuroscience, 2015, ⟨10.1186/s13408-015-0023-8⟩
Journal articles hal-01079055v3
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ERRATUM: A Center Manifold Result for Delayed Neural Fields Equations

Romain Veltz , Olivier Faugeras
SIAM Journal on Mathematical Analysis, 2015, ⟨10.1137/140962279⟩
Journal articles hal-01096598v1

Interplay Between Synaptic Delays and Propagation Delays in Neural Field Equations

Romain Veltz
SIAM Journal on Applied Dynamical Systems, 2013, 12 (3), pp.1566-1612. ⟨10.1137/120889253⟩
Journal articles hal-00850391v1

Short-term synaptic plasticity in the deterministic Tsodyks-Markram model leads to unpredictable network dynamics

Jesus M Cortes , Mathieu Desroches , Serafim Rodrigues , Romain Veltz , Miguel A Munoz et al.
Proceedings of the National Academy of Sciences of the United States of America, 2013, 110 (41), pp.16610-16615
Journal articles hal-00936308v1

Bifurcation analysis applied to a model of motion integration with a multistable stimulus

James Rankin , Emilien Tlapale , Romain Veltz , Olivier Faugeras , Pierre Kornprobst et al.
Journal of Computational Neuroscience, 2013, 34 (1), pp.103-124. ⟨10.1007/s10827-012-0409-5⟩
Journal articles hal-00845593v1

A Center Manifold Result for Delayed Neural Fields Equations

Romain Veltz , Olivier Faugeras
SIAM Journal on Mathematical Analysis, 2013, 45 (3), pp.1527-1562. ⟨10.1137/110856162⟩
Journal articles hal-00850382v1

Short-term synaptic plasticity in the deterministic Tsodyks-Markram model leads to unpredictable network dynamics

Jesus M. Cortes , Mathieu Desroches , Serafim Rodrigues , Romain Veltz , Miguel A. Muñoz et al.
Proceedings of the National Academy of Sciences of the United States of America, 2013
Journal articles hal-00857699v1

An analytical method for computing Hopf bifurcation curves in neural field networks with space-dependent delays

Romain Veltz
Comptes Rendus. Mathématique, 2011, 349 (13-14), pp.749--752. ⟨10.1016/j.crma.2011.06.014⟩
Journal articles hal-00845727v1
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Stability of the stationary solutions of neural field equations with propagation delays

Romain Veltz , Olivier Faugeras
Journal of Mathematical Neuroscience, 2011, 1 (1), pp.1-28. ⟨10.1186/2190-8567-1-1⟩
Journal articles hal-00784425v1

Local/Global Analysis of the Stationary Solutions of Some Neural Field Equations

Romain Veltz , Olivier Faugeras
SIAM Journal on Applied Dynamical Systems, 2010, 9 (3), pp.954-998. ⟨10.1137/090773611⟩
Journal articles hal-00712201v1

Interplay between constant delays and space dependent delays in neural fields models

Romain Veltz , Olivier Faugeras
Brainscales General Meeting, Barcelona, 2011, Barcelona, Spain
Conference papers hal-00845744v1

Constraining the design and operation of neural field models from basic principles

Olivier Faugeras , Romain Veltz
Workshop on Spatio-temporal evolution equations and neural fields, 2011, Marseille, France
Conference papers hal-00845733v1

The 3D Potential Induced by Functional Electrical Stimulation with Multi-Contact Cuff Electrodes: Simulation and Validation

Maureen Clerc , Romain Veltz , David Guiraud , Jean Louis Divoux
IFESS: International Functional Electrical Stimulation Society, Sep 2008, Freiburg, Germany
Conference papers lirmm-00344730v1
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Bifurcations in neural masses

Romain Veltz , Olivier Faugeras
Deuxième conférence française de Neurosciences Computationnelles, "Neurocomp08", Oct 2008, Marseille, France
Conference papers hal-00331618v1
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A simple spiking neuron model based on stochastic STDP

Pascal Helson , Etienne Tanré , Romain Veltz
International Conference on Mathematical Neuroscience, May 2017, Boulder, United States
Conference poster hal-01652036v1