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hal-00857699v1  Journal articles
Jesus CortesMathieu DesrochesSerafim RodriguesRomain VeltzMiguel 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
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hal-02925025v2  Journal articles
Quentin CormierEtienne TanréRomain Veltz. Hopf bifurcation in a Mean-Field model of spiking neurons
Electronic Journal of Probability, Institute of Mathematical Statistics (IMS), 2021, 26, ⟨10.1214/21-EJP688⟩
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hal-00331618v1  Conference papers
Romain VeltzOlivier Faugeras. Bifurcations in neural masses
Deuxième conférence française de Neurosciences Computationnelles, "Neurocomp08", Oct 2008, Marseille, France
hal-01412154v1  Journal articles
Audric DrogoulRomain Veltz. Hopf bifurcation in a nonlocal nonlinear transport equation stemming from stochastic neural dynamics
Chaos: An Interdisciplinary Journal of Nonlinear Science, American Institute of Physics, 2017, ⟨10.1063/1.4976510⟩
hal-02412921v1  Journal articles
Daniele AvitabileMathieu DesrochesRomain VeltzMartin Wechselberger. Local theory for spatio-temporal canards and delayed bifurcations
SIAM Journal on Mathematical Analysis, Society for Industrial and Applied Mathematics, 2020, 52 (6), pp.5703-5747. ⟨10.1137/19M1306610⟩
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hal-01652036v1  Poster communications
Pascal HelsonEtienne TanréRomain Veltz. A simple spiking neuron model based on stochastic STDP
International Conference on Mathematical Neuroscience, May 2017, Boulder, United States
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hal-01903857v3  Journal articles
Quentin CormierEtienne TanréRomain Veltz. Long time behavior of a mean-field model of interacting neurons
Stochastic Processes and their Applications, Elsevier, 2020, 130 (5), pp.2553-2593. ⟨10.1016/j.spa.2019.07.010⟩
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hal-01707663v2  Journal articles
Nicolas FournierEtienne TanréRomain Veltz. On a toy network of neurons interacting through their dendrites
Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques, Institut Henri Poincaré (IHP), 2020, 56 (2), pp.1041-1071. ⟨10.1214/19-AIHP993⟩
hal-00850382v1  Journal articles
Romain VeltzOlivier 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-00850391v1  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-00845727v1  Journal articles
Romain Veltz. An analytical method for computing Hopf bifurcation curves in neural field networks with space-dependent delays
Comptes Rendus. Mathématique, Académie des sciences (Paris), 2011, 349 (13-14), pp.749--752. ⟨10.1016/j.crma.2011.06.014⟩
hal-00712201v1  Journal articles
Romain VeltzOlivier 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-00845733v1  Conference papers
Olivier FaugerasRomain 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-00845744v1  Conference papers
Romain VeltzOlivier Faugeras. Interplay between constant delays and space dependent delays in neural fields models
Brainscales General Meeting, Barcelona, 2011, Barcelona, Spain