A. Drogoul and R. Veltz. Exponential stability of the stationary distribution of a mean field of spiking neural network. March 2018.
N. Fournier, E. TanrĂ©, and R. Veltz. On a toy network of neurons interacting through their dendrites. February 2018.
R. Veltz. On a toy network of neurons interacting through nonlinear dendritic compartments. Mean-field approaches to the dynamics of neuronal networks, EITN, January 2018.
R. Veltz. Invariants manifolds in mathematical neurosciences. Winter School, Toulouse., December 2017.
R. Veltz. On a toy network of neurons interacting through nonlinear dendritic compartments. Random Structures on the Brain, Lorentz Center in Leiden, The Netherlands, December 2017.
T. Gorski, R. Veltz, M. Galtier, H. Fragnaud, B. Telenczuk, and A. Destexhe. Inverse correlation processing by neurons with active dendrites. (submitted), April 2017.
R. Veltz. Hopf bifurcation in the mean field of a stochastic spiking neural networks. EITN - Paris, February 2017.
R. Veltz. Oscillatory dynamics in a stochastic spiking neural network. BANFF: Brain Dynamics and Statistics, Alberta Canada, February 2017.
R. Veltz. Study of a mean field model stemming from a neural network. Gdr NonLocal, Toulouse, January 2017.
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, volume 27, issue 2, 2017.
R. Veltz. Some applications of hybrid systems in neurosciences. University of Bristol, April 2016.
R. Veltz and T. J. Sejnowski. Periodic Forcing of Inhibition-Stabilized Networks: Nonlinear Resonances and Phase-Amplitude Coupling. Neural Computation, MIT Press, INRIA Sophia Antipolis, volume 27, issue 12, pages 2477-2509, December 2015.
R. Veltz. How somatic spikes are influenced by nonlinear active dendrites. ICMNS, plenary talk., June 2015.
R. Veltz. A new twist for the simulation of hybrid systems using the true jump method. arXiv [math], April 2015.
R. Veltz. On the effects of the pinwheel network symmetries on cortical response. NicePhysicsDays (Nice), January 2015.
R. Veltz and O. Faugeras. ERRATUM: A Center Manifold Result for Delayed Neural Fields Equations. SIAM Journal on Mathematical Analysis, volume 47, issue 2, 2015.
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), Springer Berlin Heidelberg, volume 5, issue 1, 2015.
R. Veltz. On the effects of the pinwheel network symmetries on cortical response. Geometrical Models in Vision, IHP, PARIS, October 2014.
R. Veltz. Dynamics induced by long-range connections in the primary visual cortex. AIMS Conference (Madrid), July 2014.
R. Veltz. Two examples of temporal rhythms generated by neural mass/field equations. Centre for Math. Medicine and Biology, University of Nottingham, October 2013.
R. Veltz. Invariant tori coming from the interplay between synaptic delays and propagation delays. CNS Paris, July 2013.
R. Veltz. Interplay between synaptic delays and propagation delays in neural fields equations. Mathemacs Meeting, May 2013.
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, National Acad Sciences, volume 110, issue 41, 2013.
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, Springer, volume 34, issue 1, 2013.
R. Veltz and O. Faugeras. A center manifold result for delayed neural fields equations. SIAM Journal on Mathematical Analysis, SIAM, volume 45, issue 3, 2013.
R. Veltz. Interplay between synaptic delays and propagation delays in neural field equations. SIAM Journal on Applied Dynamical Systems, SIAM, volume 12, issue 3, 2013.
R. Veltz. Nonlinear analysis methods in neural field models. issue 20111056, December 2011.
R. Veltz. Nonlinear analysis methods in neural field models. December 2011.
R. Veltz. Nonlinear analysis methods in neural field models. December 2011.
R. Veltz. Study of a particular working regime for a simple model of V1. GDR Vision (Marseille), December 2011.
R. Veltz and O. Faugeras. Stability of the stationary solutions of neural field equations with propagation delays. The Journal of Mathematical Neuroscience (JMN), Springer, volume 1, issue 1, 2011.
R. Veltz. An analytical method for computing Hopf bifurcation curves in neural field networks with space-dependent delays. Comptes Rendus Mathematique, Elsevier, volume 349, issue 13, 2011.
R. Veltz and O. Faugeras. Local/global analysis of the stationary solutions of some neural field equations. SIAM Journal on Applied Dynamical Systems, SIAM, volume 9, issue 3, 2010.
R. Veltz and O. Faugeras. Illusions in the ring model of visual orientation selectivity. arXiv preprint arXiv:1007.2493, 2010.
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, MIT Press, volume 21, issue 1, 2009.
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, volume 400, 2008.