Publication list also available on Google scholar.

Papers - Talks - Students


    2017

    1. T. Gorski, R. Veltz, M. Galtier, H. Fragnaud, B. Telenczuk, and A. Destexhe Inverse correlation processing by neurons with active dendrites. (submitted), 2017 (www), Bibtex
    1. 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 (www), Bibtex
    2016

    1. A. Drogoul and R. Veltz Exponential stability of stationary distributions for some nonlocal transport equations: application to neural dynamic 2016 (www), Bibtex
    2015

    1. 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 (www), PDF, Bibtex
    1. R. Veltz A new twist for the simulation of hybrid systems using the true jump method arXiv [math], 2015 mathematics - numerical analysis (www), Bibtex
    1. R. Veltz and O. Faugeras ERRATUM: A Center Manifold Result for Delayed Neural Fields Equations SIAM Journal on Mathematical Analysis, 47(2), 2015 (www), Bibtex
    1. 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 (www), PDF, Bibtex
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    2013

    1. 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 Bibtex
    1. 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 Bibtex
    1. R. Veltz and O. Faugeras A center manifold result for delayed neural fields equations SIAM Journal on Mathematical Analysis, 45(3), 2013 Bibtex
    1. R. Veltz Interplay between synaptic delays and propagation delays in neural field equations SIAM Journal on Applied Dynamical Systems, 12(3), 2013 (www), Bibtex
    2011

    1. 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 (www), Bibtex
    1. R. Veltz An analytical method for computing Hopf bifurcation curves in neural field networks with space-dependent delays Comptes Rendus Mathematique, 349(13), 2011 (www), PDF, Bibtex
    2010

    1. 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 Bibtex
    1. R. Veltz and O. Faugeras Illusions in the ring model of visual orientation selectivity arXiv preprint arXiv:1007.2493, 2010 (www), Bibtex
    2009

    1. 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 (www), PDF, Bibtex
    2008

    1. 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 Bibtex


    Talks


    1. 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
    2. R. Veltz Oscillatory dynamics in a stochastic spiking neural network , BANFF: Brain Dynamics and Statistics, Alberta Canada, 2017
    3. R. Veltz Two examples of temporal rhythms generated by neural mass/field equations , Centre for Math. Medicine and Biology, University of Nottingham, 2013


    Students


    1. Q. Cormier Study of a mean field model of spiking neural network , Master 2, ENS Lyon, co-supervised with E.Tanré, 2017
    2. P. Helson Modelling of synaptic plasticity , PhD, co-supervised with E.Tanré, 2016
    3. R. Forquet Modelling of synaptic plasticity , Master 1, co-supervised with H. Marie, 2016
    4. A. Dolcemascolo All optical neuromimetic devices , PhD, co-supervised with S. Barland, 2016
    5. C. Baron Modelling of synaptic plasticity , Master 1, co-supervised with H. Marie, 2016
    6. Q. Cormier Study of plasticity laws , Master 1, ENS Lyon, co-supervised with E.Tanré, 2015
    7. S. Almeida Simulation of PDMP , Undergraduate, 2014
    8. A. Razetti Simulation of PDMP , Undergraduate, 2014