@article{barland_excitable_2025,
  author = "S. Barland and O. D’Huys and R. Veltz",
  title = "Excitable response of a noisy adaptive network of spiking lasers",
  year = 2025,
  journal = "Chaos: An Interdisciplinary Journal of Nonlinear Science",
  volume = 35,
  number = 5,
  month = "May",
  doi = "10.1063/5.0252964",
  url = "https://doi.org/10.1063/5.0252964"
}


@article{Veltz2022c,
  author = "R. Veltz",
  title = "(in prep.) A mean-field model of two-dimensional nonlinear integrate-and-fire neurons",
  year = 2025,
  month = "Feb"
}


@article{habib2024theoreticalnumericalstudy,
  author = "S. Habib and R. Veltz",
  title = "Theoretical / numerical study of modulated traveling waves in inhibition stabilized networks",
  year = 2024,
  month = "Dec",
  url = "https://arxiv.org/abs/2412.03613"
}


@article{Faugeras2024a,
  author = "O. Faugeras and R. Veltz",
  title = "Bifurcation theory can predict behaviours of large assemblies of neurons",
  year = 2024,
  month = "Nov"
}


@article{Veltz2024c,
  author = "R. Veltz",
  title = "Applications of jump processes to neuroscience",
  year = 2024,
  journal = "HDR",
  institution = "Universite Cote d'Azur, Inria, France",
  month = "Oct",
  doi = "tel-04892967",
  url = "https://inria.hal.science/tel-04892967v1/file/HDRrveltz.pdf"
}


@inproceedings{TALK,
  author = "R. Veltz",
  title = "A Showcase of the New Functionalities of BifurcationKit.jl",
  year = 2024,
  journal = "conference JuliaCon, invited",
  month = "Jul"
}


@inproceedings{TALK,
  author = "R. Veltz",
  title = "Some recent results on mean fields of networks of spiking neurons",
  year = 2024,
  journal = "McTao Inria team seminar, Inria"
}


@article{Rodrigues2021a,
  author = "Y. E. Rodrigues and H. Marie and C. O’Donnell and R. Veltz",
  title = "A stochastic model of hippocampal synaptic plasticity with geometrical readout of enzyme dynamics",
  year = 2023,
  journal = "Elife",
  month = "Aug",
  url = "https://elifesciences.org/articles/80152"
}


@inproceedings{TALK,
  author = "R. Veltz",
  title = "Some results concerning a mean field of a network of 2d spiking neurons",
  year = 2023,
  journal = "Topics on Neuroscience, Collective Migration and Parameter Estimation, Oxford",
  month = "Jul",
  url = "https://sites.google.com/view/neurocollectiveestimation/home?authuser=0"
}


@article{TALK,
  author = "R. Veltz",
  title = "Theoretical / numerical study of modulated traveling pulses in inhibition stabilized networks",
  year = 2023,
  journal = "Paris NFW 23",
  month = "Jun",
  url = "https://nfwparis2023.sciencesconf.org"
}


@inproceedings{TALK,
  author = "R. Veltz",
  title = "Study of a mean field of a network of 2d spiking neurons",
  year = 2023,
  journal = "One world dynamics",
  month = "May"
}


@article{chafai_dual_2023,
  author = "M. Chafaï and A. Delrocq and P. Inquimbert and L. Pidoux and K. Delanoe and M. Toft and F. Brau and E. Lingueglia and R. Veltz and E. Deval",
  title = "Dual contribution of ASIC1a channels in the spinal processing of pain information by deep projection neurons revealed by computational modeling",
  year = 2023,
  journal = "PLOS Computational Biology",
  volume = 19,
  number = 4,
  month = "Apr",
  keywords = "calcium channels, functional electrical stimulation, neuronal dendrites, neurons, pain, potassium channels, spinal cord, transfection",
  doi = "10.1371/journal.pcbi.1010993",
  url = "https://journals.plos.org/ploscompbiol/article?id=10.1371/journal.pcbi.1010993",
  note = "Publisher: Public Library of Science"
}


@inproceedings{TALK,
  author = "R. Veltz",
  title = "Theoritical study of a mean-field model of two-dimensional nonlinear integrate-and-fire neurons",
  year = 2023,
  journal = "ANR Chamane",
  month = "Mar"
}


@article{TALK,
  author = "R. Veltz",
  title = "Theoretical / numerical study of modulated traveling pulses in inhibition stabilized networks",
  year = 2023,
  journal = "IHP Paris",
  month = "Mar"
}


@inproceedings{TALK,
  author = "R. Veltz",
  title = "Towards calculating bifurcations for networks of AdEx mean-field models with delays",
  year = 2023,
  journal = "Seminar A. Destexhe",
  month = "Jan"
}


@inproceedings{TALK,
  author = "R. Veltz",
  title = "A Showcase of the New Functionalities of BifurcationKit.jl",
  year = 2023,
  journal = "SIAM CSE23, Invited talk"
}


@inproceedings{TALK,
  author = "R. Veltz",
  title = "Some recent results on a mean field of a network of 2d spiking neurons",
  year = 2022,
  journal = "Mathematical modeling and statistical analysis in neuroscience",
  month = "Jan",
  url = "https://indico.math.cnrs.fr/event/6532/timetable/?view=standard_numbered_inline_minutes"
}


@inproceedings{TALK,
  author = "R. Veltz",
  title = "Présentation de BifurcationKit",
  year = 2022,
  journal = "Journée Julia (CNRS)",
  month = "Jan"
}


@article{Faugeras2021a,
  author = "O. Faugeras and A. Song and R. Veltz",
  title = "Spatial and color hallucinations in a mathematical model of primary visual cortex",
  year = 2022,
  journal = "CRAS",
  month = "Jan",
  doi = "10.5802/crmath.289",
  url = "https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.289/"
}


@article{Veltz2021i,
  author = "R. Veltz",
  title = "Snaking of spatially localized visual hallucinations in a model of primary visual cortex",
  year = 2021,
  month = "Sep"
}


@inproceedings{TALK,
  author = "O. D. Faugeras and A. Song and R. Veltz",
  title = "Spatial and color hallucinations in a mathematical model of primary visual cortex",
  year = 2021,
  month = "Aug"
}


@inproceedings{TALK,
  author = "R. Veltz",
  title = "BifurcationKit.jl: bifurcation analysis of large scale systems",
  year = 2021,
  journal = "JuliaCon21 invited talk.",
  month = "Jul",
  url = "https://pretalx.com/juliacon2021/talk/RERJWC/"
}


@inproceedings{TALK,
  author = "R. Veltz",
  title = "Some recent results on a mean field of a network of spiking neurons",
  year = 2021,
  journal = "LJAD, invited.",
  month = "Jun"
}


@inproceedings{TALK,
  author = "R. Veltz",
  title = "Café calcul - Julia",
  year = 2021,
  journal = "Invited by Pierre Navaro",
  month = "Jun"
}


@inproceedings{TALK,
  author = "R. Veltz",
  title = "Automatic numerical bifurcation analysis using BifurcationKit",
  year = 2021,
  journal = "SIAM DS21, Invited talk",
  month = "May"
}


@inproceedings{TALK,
  author = "R. Veltz",
  title = "Mean field Models of noisy spiking neurons and BifurcationKit",
  year = 2021,
  journal = "Invited talk, University of Cologne",
  month = "Mar"
}


@inproceedings{TALK,
  author = "R. Veltz",
  title = "Automatic numerical bifurcation analysis with applications to neurosciences using BifurcationKit",
  year = 2021,
  journal = "SIAM CSE21, Invited talk",
  month = "Mar",
  url = "https://www.siam.org/conferences/cm/conference/cse21"
}


@inproceedings{TALK,
  author = "R. Veltz",
  title = "Mean field Models of noisy spiking neurons",
  year = 2021,
  journal = "Colloqium MAP5, Invited talk",
  month = "Jan"
}


@article{Veltz2021h,
  author = "R. Veltz",
  title = "Invariant manifolds in singular perturbation problems for infinite dimensional dynamical systems",
  year = 2021
}


@inproceedings{TALK,
  author = "R. Veltz",
  title = "Mean field study of stochastic spiking neural networks",
  year = 2020,
  journal = "CMS Winter Meeting, Invited talk",
  month = "Dec"
}


@article{cormier2020hopf,
  author = "Q. Cormier and E. Tanré and R. Veltz",
  title = "Hopf bifurcation in a Mean-Field model of spiking neurons",
  year = 2020,
  month = "Aug"
}


@{veltz:hal-02902346,
  author = "R. Veltz",
  title = "BifurcationKit.jl",
  year = 2020,
  institution = "Inria Sophia-Antipolis",
  month = "Jul",
  keywords = "pseudo-arclength-continuation, periodic-orbits, floquet, gpu, bifurcation-diagram, deflation, newton-krylov",
  url = "https://hal.archives-ouvertes.fr/hal-02902346"
}


@article{veltz:hal-01290264v2,
  author = "A. Drogoul and R. Veltz",
  title = "Exponential stability of the stationary distribution of a mean field of spiking neural network",
  year = 2020,
  journal = "Journal of Differential Equations",
  month = "Jul",
  doi = "10.1016/j.jde.2020.08.001",
  url = "https://www.sciencedirect.com/science/article/pii/S0022039620304459"
}


@article{PhysRevE.101.052208,
  author = "A. Dolcemascolo and A. Miazek and R. Veltz and F. Marino and S. Barland",
  title = "Effective low-dimensional dynamics of a mean-field coupled network of slow-fast spiking lasers",
  year = 2020,
  journal = "Phys. Rev. E",
  publisher = "American Physical Society",
  volume = 101,
  month = "May",
  doi = "10.1103/PhysRevE.101.052208",
  url = "https://link.aps.org/doi/10.1103/PhysRevE.101.052208"
}


@article{avitabile2020local,
  author = "D. Avitabile and M. Desroches and R. Veltz and M. Wechselberger",
  title = "Local theory for spatio-temporal canards and delayed bifurcations",
  year = 2020,
  journal = "SIAM Journal on Mathematical Analysis",
  publisher = "SIAM",
  volume = 52,
  number = 6
}


@article{2018arXiv181008562C,
  author = "Q. Cormier and E. Tanré and R. Veltz",
  title = "Long time behavior of a mean-field model of interacting neurons",
  year = 2019,
  journal = "Stochastic Processes and their Applications",
  month = "Jul",
  keywords = "mathematics - probability",
  doi = "10.1016/j.spa.2019.07.010",
  url = "https://www.sciencedirect.com/science/article/abs/pii/S0304414918306574?via%3Dihub"
}


@article{2019arXiv190610232A,
  author = "B. Aymard and F. Campillo and R. Veltz",
  title = "Mean-field limit of interacting 2D nonlinear stochastic spiking neurons",
  year = 2019,
  journal = "arXiv e-prints",
  month = "Jun",
  keywords = "mathematics - numerical analysis"
}


@article{Fournier2018a,
  author = "N. Fournier and E. Tanré and R. Veltz",
  title = "On a toy network of neurons interacting through their dendrites",
  year = 2019,
  journal = "Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques",
  month = "May",
  url = "https://arxiv.org/abs/1802.04118"
}


@article{2018arXiv181012898S,
  author = "A. Song and O. Faugeras and R. Veltz",
  title = "A neural field model for color perception unifying assimilation and contrast",
  year = 2019,
  journal = "PLOS Computational Biology",
  month = "Apr",
  url = "https://arxiv.org/abs/1810.12898"
}


@inproceedings{TALK,
  author = "R. Veltz",
  title = "Analysis of a mean field of 2d spiking neurons, theory and numerics",
  year = 2019,
  journal = "International Meeting UK-France Programme, Royal Society",
  month = "Feb"
}


@article{Górski2018,
  author = "T. Górski and R. Veltz and M. Galtier and H. Fragnaud and J. S. Goldman and B. Teleńczuk and A. Destexhe",
  title = "Dendritic sodium spikes endow neurons with inverse firing rate response to correlated synaptic activity",
  year = 2018,
  journal = "Journal of Computational Neuroscience",
  volume = 45,
  number = 3,
  month = "Dec",
  doi = "10.1007/s10827-018-0707-7",
  url = "https://doi.org/10.1007/s10827-018-0707-7"
}


@article{PhysRevE.98.062211,
  author = "A. Dolcemascolo and B. Garbin and B. Peyce and R. Veltz and S. Barland",
  title = "Resonator neuron and triggering multipulse excitability in laser with injected signal",
  year = 2018,
  journal = "Phys. Rev. E",
  publisher = "American Physical Society",
  volume = 98,
  month = "Dec",
  doi = "10.1103/PhysRevE.98.062211",
  url = "https://link.aps.org/doi/10.1103/PhysRevE.98.062211"
}


@inproceedings{TALK,
  author = "R. Veltz",
  title = "Models of neurons interacting through nonlinear dendritic compartments",
  year = 2018,
  journal = "Seminaire LJAD",
  month = "Oct"
}


@inproceedings{TALK,
  author = "R. Veltz",
  title = "On a toy network of neurons interacting through nonlinear dendritic compartments",
  year = 2018,
  journal = "jmgambaudo60, invited talk",
  month = "Jun"
}


@inproceedings{TALK,
  author = "R. Veltz",
  title = "On a toy network of neurons interacting through nonlinear dendritic compartments",
  year = 2018,
  journal = "ICMNS 2018, invited talk.",
  month = "Jun"
}


@inproceedings{TALK,
  author = "R. Veltz",
  title = "On a toy network of neurons interacting through nonlinear dendritic compartments",
  year = 2018,
  journal = "Mean-field approaches to the dynamics of neuronal networks, EITN",
  month = "Jan"
}


@inproceedings{TALK,
  author = "R. Veltz",
  title = "Invariants manifolds in mathematical neurosciences",
  year = 2017,
  journal = "Winter School, Toulouse.",
  month = "Dec",
  url = "http://www.cimi.univ-toulouse.fr/mib/en/School-DSMN"
}


@inproceedings{TALK,
  author = "R. Veltz",
  title = "On a toy network of neurons interacting through nonlinear dendritic compartments",
  year = 2017,
  journal = "Random Structures on the Brain, Lorentz Center in Leiden, The Netherlands",
  month = "Dec",
  url = "https://www.lorentzcenter.nl/lc/web/2017/933/info.php3?wsid=933"
}


@inproceedings{TALK,
  author = "R. Veltz",
  title = "Hopf bifurcation in the mean field of a stochastic spiking neural networks",
  year = 2017,
  journal = "EITN - Paris",
  month = "Feb"
}


@inproceedings{TALK,
  author = "R. Veltz",
  title = "Oscillatory dynamics in a stochastic spiking neural network",
  year = 2017,
  journal = "BANFF: Brain Dynamics and Statistics, Alberta Canada",
  month = "Feb",
  url = "http://www.birs.ca/events/2017/5-day-workshops/17w5036"
}


@inproceedings{TALK,
  author = "R. Veltz",
  title = "Study of a mean field model stemming from a neural network",
  year = 2017,
  journal = "Gdr NonLocal, Toulouse",
  month = "Jan"
}


@article{doi:10.1063/1.4976510,
  author = "A. Drogoul and R. Veltz",
  title = "Hopf bifurcation in a nonlocal nonlinear transport equation stemming from stochastic neural dynamics",
  year = 2017,
  journal = "Chaos: An Interdisciplinary Journal of Nonlinear Science",
  volume = 27,
  number = 2,
  doi = "10.1063/1.4976510",
  url = "http://aip.scitation.org/doi/abs/10.1063/1.4976510"
}


@inproceedings{TALK,
  author = "R. Veltz",
  title = "Some applications of hybrid systems in neurosciences",
  year = 2016,
  journal = "University of Bristol",
  month = "Apr"
}


@article{veltz:hal-01096590,
  author = "R. Veltz and T. J. Sejnowski",
  title = "Periodic Forcing of Inhibition-Stabilized Networks: Nonlinear Resonances and Phase-Amplitude Coupling",
  year = 2015,
  journal = "Neural Computation",
  publisher = "MIT Press",
  volume = 27,
  institution = "INRIA Sophia Antipolis",
  number = 12,
  pages = "2477-2509",
  month = "Dec",
  keywords = "oscillation, gamma band, theta band",
  doi = "doi:10.1162/NECO_a_00786",
  url = "http://www.mitpressjournals.org/doi/10.1162/NECO_a_00786"
}


@inproceedings{TALK,
  author = "R. Veltz",
  title = "How somatic spikes are influenced by nonlinear active dendrites",
  year = 2015,
  journal = "ICMNS, plenary talk.",
  month = "Jun"
}


@article{veltz_new_2015,
  author = "R. Veltz",
  title = "A new twist for the simulation of hybrid systems using the true jump method",
  year = 2015,
  journal = "arXiv [math]",
  month = "Apr",
  keywords = "mathematics - numerical analysis",
  url = "http://arxiv.org/abs/1504.06873"
}


@inproceedings{TALK,
  author = "R. Veltz",
  title = "On the effects of the pinwheel network symmetries on cortical response",
  year = 2015,
  journal = "NicePhysicsDays (Nice)",
  month = "Jan",
  url = "http://nicephysicsdays.org/"
}


@article{doi:10.1137/140962279,
  author = "R. Veltz and O. Faugeras",
  title = "ERRATUM: A Center Manifold Result for Delayed Neural Fields Equations",
  year = 2015,
  journal = "SIAM Journal on Mathematical Analysis",
  volume = 47,
  number = 2,
  doi = "10.1137/140962279",
  url = "http://dx.doi.org/10.1137/140962279"
}


@article{Veltz2015b,
  author = "R. Veltz and P. Chossat and O. Faugeras",
  title = "On the Effects on Cortical Spontaneous Activity of the Symmetries of the Network of Pinwheels in Visual Area V1",
  year = 2015,
  journal = "The Journal of Mathematical Neuroscience (JMN)",
  publisher = "Springer Berlin Heidelberg",
  volume = 5,
  number = 1,
  keywords = "visual hallucinations, invariant torus, poincaré–hopf",
  doi = "10.1186/s13408-015-0023-8",
  url = "http://link.springer.com/article/10.1186%2Fs13408-015-0023-8"
}


@inproceedings{TALK,
  author = "R. Veltz",
  title = "On the effects of the pinwheel network symmetries on cortical response",
  year = 2014,
  journal = "Geometrical Models in Vision, IHP, PARIS",
  month = "Oct"
}


@inproceedings{TALK,
  author = "R. Veltz",
  title = "Dynamics induced by long-range connections in the primary visual cortex",
  year = 2014,
  journal = "AIMS Conference (Madrid)",
  month = "Jul"
}


@inproceedings{TALK,
  author = "R. Veltz",
  title = "Two examples of temporal rhythms generated by neural mass/field equations",
  year = 2013,
  journal = "Centre for Math. Medicine and Biology, University of Nottingham",
  month = "Oct"
}


@inproceedings{TALK,
  author = "R. Veltz",
  title = "Invariant tori coming from the interplay between synaptic delays and propagation delays",
  year = 2013,
  journal = "CNS Paris",
  month = "Jul",
  url = "http://epubs.siam.org/doi/abs/10.1137/120889253"
}


@inproceedings{TALK,
  author = "R. Veltz",
  title = "Interplay between synaptic delays and propagation delays in neural fields equations",
  year = 2013,
  journal = "Mathemacs Meeting",
  month = "May"
}


@article{rankin2013bifurcation,
  author = "J. Rankin and E. Tlapale and R. Veltz and O. Faugeras and P. Kornprobst",
  title = "Bifurcation analysis applied to a model of motion integration with a multistable stimulus",
  year = 2013,
  journal = "Journal of computational neuroscience",
  publisher = "Springer",
  volume = 34,
  number = 1
}


@article{veltz2013center,
  author = "R. Veltz and O. Faugeras",
  title = "A center manifold result for delayed neural fields equations",
  year = 2013,
  journal = "SIAM Journal on Mathematical Analysis",
  publisher = "SIAM",
  volume = 45,
  number = 3
}


@article{cortes2013short,
  author = "J. M. Cortes and M. Desroches and S. Rodrigues and R. Veltz and M. A. Munoz and T. J. Sejnowski",
  title = "Short-term synaptic plasticity in the deterministic Tsodyks-Markram model leads to unpredictable network dynamics",
  year = 2013,
  journal = "Proceedings of the National Academy of Sciences",
  publisher = "National Acad Sciences",
  volume = 110,
  number = 41,
  url = "https://www.pnas.org/content/110/41/16610"
}


@article{veltz2013interplay,
  author = "R. Veltz",
  title = "Interplay between synaptic delays and propagation delays in neural field equations",
  year = 2013,
  journal = "SIAM Journal on Applied Dynamical Systems",
  publisher = "SIAM",
  volume = 12,
  number = 3,
  url = "http://epubs.siam.org/doi/abs/10.1137/120889253"
}


@phdthesis{veltz:tel-00686695,
  author = "R. Veltz",
  title = "Nonlinear analysis methods in neural field models",
  year = 2011,
  number = 20111056,
  month = "Dec",
  keywords = "neuronal illusion, hypercolumn, neural fields, propagation delays, center manifold, bifurcation, champs neuronaux, retard de propagation, variete centrale, hypercolonne, illusion neuronale",
  url = "https://pastel.archives-ouvertes.fr/tel-00686695"
}


@phdthesis{veltz:tel-00686695,
  author = "R. Veltz",
  title = "Nonlinear analysis methods in neural field models",
  year = 2011,
  month = "Dec",
  url = "https://pastel.archives-ouvertes.fr/tel-00686695"
}


@phdthesis{Veltz2011d,
  author = "R. Veltz",
  title = "Nonlinear analysis methods in neural field models",
  year = 2011,
  month = "Dec",
  url = "http://romainveltz.pythonanywhere.com/static/media/uploads/main.pdf"
}


@inproceedings{TALK,
  author = "R. Veltz",
  title = "Study of a particular working regime for a simple model of V1",
  year = 2011,
  journal = "GDR Vision (Marseille)",
  month = "Dec"
}


@article{veltz2011stability,
  author = "R. Veltz and O. Faugeras",
  title = "Stability of the stationary solutions of neural field equations with propagation delays",
  year = 2011,
  journal = "The Journal of Mathematical Neuroscience (JMN)",
  publisher = "Springer",
  volume = 1,
  number = 1,
  url = "http://www.mathematical-neuroscience.com/content/1/1/1"
}


@article{veltz2011analytical,
  author = "R. Veltz",
  title = "An analytical method for computing Hopf bifurcation curves in neural field networks with space-dependent delays",
  year = 2011,
  journal = "Comptes Rendus Mathematique",
  publisher = "Elsevier",
  volume = 349,
  number = 13,
  url = "http://www.sciencedirect.com/science/article/pii/S1631073X11001671"
}


@article{veltz2010local,
  author = "R. Veltz and O. Faugeras",
  title = "Local/global analysis of the stationary solutions of some neural field equations",
  year = 2010,
  journal = "SIAM Journal on Applied Dynamical Systems",
  publisher = "SIAM",
  volume = 9,
  number = 3
}


@article{veltz2010illusions,
  author = "R. Veltz and O. Faugeras",
  title = "Illusions in the ring model of visual orientation selectivity",
  year = 2010,
  journal = "arXiv preprint arXiv:1007.2493",
  url = "http://arxiv.org/pdf/1007.2493v1"
}


@article{faugeras2009persistent,
  author = "O. Faugeras and R. Veltz and F. Grimbert",
  title = "Persistent neural states: stationary localized activity patterns in nonlinear continuous n-population, q-dimensional neural networks",
  year = 2009,
  journal = "Neural computation",
  publisher = "MIT Press",
  volume = 21,
  number = 1,
  url = "http://romainveltz.pythonanywhere.com/static/media/uploads/neco.2009.12-07-660.pdf"
}


@inproceedings{clerc20083d,
  author = "M. Clerc and R. Veltz and D. Guiraud and J. L. Divoux and others",
  title = "The 3d potential induced by functional electrical stimulation with multi-contact cuff electrodes: simulation and validation",
  year = 2008,
  booktitle = "International Functional Electrical Stimulation Society Conference",
  volume = 400
}