Grégory Faye
Grégory Faye
CNRS Researcher (CRCN), Institut de Mathématiques de Toulouse (CNRS-UT3)
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Cited by
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Some theoretical and numerical results for delayed neural field equations
G Faye, O Faugeras
Physica D: Nonlinear Phenomena 239 (9), 561-578, 2010
Continuation of localized coherent structures in nonlocal neural field equations
J Rankin, D Avitabile, J Baladron, G Faye, DJB Lloyd
SIAM Journal on Scientific Computing 36 (1), B70-B93, 2014
Modulated traveling fronts for a nonlocal Fisher-KPP equation: a dynamical systems approach
G Faye, M Holzer
Journal of Differential Equations 258 (7), 2257-2289, 2015
Existence of pulses in excitable media with nonlocal coupling
G Faye, A Scheel
Advances in Mathematics 270, 400-456, 2015
Existence and stability of traveling pulses in a neural field equation with synaptic depression
G Faye
SIAM Journal on Applied Dynamical Systems 12 (4), 2032-2067, 2013
Center manifolds without a phase space
G Faye, A Scheel
Transactions of the American Mathematical Society 370 (8), 5843-5885, 2018
Fredholm properties of nonlocal differential operators via spectral flow
G Faye, A Scheel
Indiana Univ. Math. J. 63, pp. 1311-1348, 2013
Asymptotic stability of the critical Fisher–KPP front using pointwise estimates
G Faye, M Holzer
Zeitschrift für angewandte Mathematik und Physik 70, 1-21, 2019
Bifurcation of hyperbolic planforms
P Chossat, G Faye, O Faugeras
Journal of Nonlinear Science 21 (4), 465-498, 2011
Rigorous derivation of the nonlocal reaction-diffusion Fitzhugh--Nagumo system
J Crevat, G Faye, F Filbet
SIAM Journal on Mathematical Analysis 51 (1), 346-373, 2019
Monotone traveling waves for delayed neural field equations
J Fang, G Faye
Mathematical Models and Methods in Applied Sciences 26 (10), 1919-1954, 2016
Localized states in an unbounded neural field equation with smooth firing rate function: a multi-parameter analysis
G Faye, J Rankin, P Chossat
Journal of Mathematical Biology, 36, 2012
Analysis of a hyperbolic geometric model for visual texture perception
G Faye, P Chossat, O Faugeras
The Journal of Mathematical Neuroscience 1, 1-51, 2011
Pinning and unpinning in nonlocal systems
T Anderson, G Faye, A Scheel, D Stauffer
Journal of Dynamics and Differential Equations 28, 897-923, 2016
Linear spreading speeds from nonlinear resonant interaction
G Faye, M Holzer, A Scheel
Nonlinearity 30 (6), 2403, 2017
Localized radial bumps of a neural field equation on the Euclidean plane and the Poincaré disc
G Faye, J Rankin, DJB Lloyd
Nonlinearity 26 (2), 437, 2013
Bifurcation diagrams and heteroclinic networks of octagonal H-planforms
G Faye, P Chossat
Journal of Nonlinear Science, 2011
Pulse bifurcations in stochastic neural fields
ZP Kilpatrick, G Faye
SIAM Journal on Applied Dynamical Systems 13 (2), 830-860, 2014
Generalized Gaussian bounds for discrete convolution powers
JF Coulombel, G Faye
Revista Matemática Iberoamericana 38 (5), 1553-1604, 2022
Asymptotic stability of the critical pulled front in a Lotka-Volterra competition model
G Faye, M Holzer
Journal of Differential Equations 269 (9), 6559-6601, 2020
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