Journal Articles by R. Veltz


N. Fournier, E. Tanré, and R. Veltz On a toy network of neurons interacting through their dendrites 2018 URL, RIS, BibTex
T. Gorski, R. Veltz, M. Galtier, H. Fragnaud, B. Telenczuk, and A. Destexhe Inverse correlation processing by neurons with active dendrites. (submitted), 2017 URL, RIS, BibTex
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 URL, DOI, RIS, BibTex
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 URL, DOI, PDF, RIS, BibTex
R. Veltz A new twist for the simulation of hybrid systems using the true jump method arXiv [math], 2015 mathematics - numerical analysis URL, RIS, BibTex
R. Veltz and O. Faugeras ERRATUM: A Center Manifold Result for Delayed Neural Fields Equations SIAM Journal on Mathematical Analysis, 47(2), 2015 URL, DOI, RIS, BibTex
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 URL, DOI, PDF, RIS, BibTex
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 RIS, BibTex
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 RIS, BibTex
R. Veltz and O. Faugeras A center manifold result for delayed neural fields equations SIAM Journal on Mathematical Analysis, 45(3), 2013 RIS, BibTex
R. Veltz Interplay between synaptic delays and propagation delays in neural field equations SIAM Journal on Applied Dynamical Systems, 12(3), 2013 URL, RIS, BibTex
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 URL, RIS, BibTex
R. Veltz An analytical method for computing Hopf bifurcation curves in neural field networks with space-dependent delays Comptes Rendus Mathematique, 349(13), 2011 URL, PDF, RIS, BibTex
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 RIS, BibTex
R. Veltz and O. Faugeras Illusions in the ring model of visual orientation selectivity arXiv preprint arXiv:1007.2493, 2010 URL, RIS, BibTex
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 URL, PDF, RIS, BibTex

Conference Papers


R. Veltz On a toy network of neurons interacting through nonlinear dendritic compartments , Mean-field approaches to the dynamics of neuronal networks, EITN, 2018
R. Veltz Invariants manifolds in mathematical neurosciences , Winter School, Toulouse., 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, 2017
R. Veltz Hopf bifurcation in the mean field of a stochastic spiking neural networks , EITN - Paris, 2017
R. Veltz Oscillatory dynamics in a stochastic spiking neural network , BANFF: Brain Dynamics and Statistics, Alberta Canada, 2017
R. Veltz Study of a mean field model stemming from a neural network , Gdr NonLocal, Toulouse, 2017
R. Veltz Some applications of hybrid systems in neurosciences , University of Bristol, 2016
R. Veltz How somatic spikes are influenced by nonlinear active dendrites , ICMNS, plenary talk., 2015
R. Veltz On the effects of the pinwheel network symmetries on cortical response , NicePhysicsDays (Nice), 2015
R. Veltz On the effects of the pinwheel network symmetries on cortical response , Geometrical Models in Vision, IHP, PARIS, 2014
R. Veltz Dynamics induced by long-range connections in the primary visual cortex , AIMS Conference (Madrid), 2014
R. Veltz Two examples of temporal rhythms generated by neural mass/field equations , Centre for Math. Medicine and Biology, University of Nottingham, 2013
R. Veltz Invariant tori coming from the interplay between synaptic delays and propagation delays , CNS Paris, 2013
R. Veltz Interplay between synaptic delays and propagation delays in neural fields equations , Mathemacs Meeting, 2013
R. Veltz Study of a particular working regime for a simple model of V1 , GDR Vision (Marseille), 2011
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 RIS, BibTex

Technical Reports


A. Drogoul and R. Veltz Exponential stability of the stationary distribution of a mean field of spiking neural network 2018 URL, RIS, BibTex

Theses


R. Veltz Nonlinear analysis methods in neural field models 2011 neuronal illusion hypercolumn neural fields propagation delays center manifold bifurcation champs neuronaux retard de propagation variete centrale hypercolonne illusion neuronale URL, RIS, BibTex
R. Veltz Nonlinear analysis methods in neural field models 2011 URL, PDF, RIS, BibTex
R. Veltz Nonlinear analysis methods in neural field models 2011 URL, thesis.pdf, RIS, BibTex