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Journal Articles by O. Faugeras

O. Faugeras and R. Veltz Bifurcation theory can predict behaviours of large assemblies of neurons 2024 RIS, BibTex
O. Faugeras, A. Song, and R. Veltz Spatial and color hallucinations in a mathematical model of primary visual cortex CRAS, 2022 URL, DOI, arxiv, RIS, BibTex
A. Song, O. Faugeras, and R. Veltz A neural field model for color perception unifying assimilation and contrast PLOS Computational Biology, 2019 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, 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 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 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

O. D. Faugeras, A. Song, and R. Veltz Spatial and color hallucinations in a mathematical model of primary visual cortex , 2021
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