Grégory Faye
Grégory Faye
CNRS Researcher (CRCN), Institut de Mathématiques de Toulouse (CNRS-UT3)
Verified email at math.univ-toulouse.fr - Homepage
Title
Cited by
Cited by
Year
Some theoretical and numerical results for delayed neural field equations
G Faye, O Faugeras
Physica D: Nonlinear Phenomena 239 (9), 561-578, 2010
912010
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
502014
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
412015
Existence of pulses in excitable media with nonlocal coupling
G Faye, A Scheel
Advances in Mathematics 270, 400-456, 2015
372015
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
272013
Bifurcation of hyperbolic planforms
P Chossat, G Faye, O Faugeras
Journal of Nonlinear Science 21 (4), 465-498, 2011
242011
Fredholm properties of nonlocal differential operators via spectral flow
G Faye, A Scheel
Indiana Univ. Math. J. 63, pp. 1311-1348, 2013
232013
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
222012
Analysis of a hyperbolic geometric model for visual texture perception
G Faye, P Chossat, O Faugeras
The Journal of Mathematical Neuroscience 1 (1), 4, 2011
212011
Center manifolds without a phase space
G Faye, A Scheel
Transactions of the American Mathematical Society 370 (8), 5843-5885, 2018
162018
Bifurcation diagrams and heteroclinic networks of octagonal H-planforms
G Faye, P Chossat
Journal of Nonlinear Science, 2011
162011
Pinning and unpinning in nonlocal systems
T Anderson, G Faye, A Scheel, D Stauffer
Journal of Dynamics and Differential Equations 28 (3-4), 897-923, 2016
152016
Pulse bifurcations in stochastic neural fields
ZP Kilpatrick, G Faye
SIAM Journal on Applied Dynamical Systems 13 (2), 830-860, 2014
132014
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
122019
Monotone traveling waves for delayed neural field equations
J Fang, G Faye
Mathematical Models and Methods in Applied Sciences 26 (10), 1919-1954, 2016
122016
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
122013
Linear spreading speeds from nonlinear resonant interaction
G Faye, M Holzer, A Scheel
Nonlinearity 30 (6), 2403, 2017
102017
Asymptotic stability of the critical Fisher–KPP front using pointwise estimates
G Faye, M Holzer
Zeitschrift für angewandte Mathematik und Physik 70 (1), 13, 2019
92019
Traveling fronts for lattice neural field equations
G Faye
Physica D: Nonlinear Phenomena 378, 20-32, 2018
82018
A spatialized model of visual texture perception using the structure tensor formalism
G Faye, P Chossat
Networks and Heterogeneous Media 8 (1), 211-260, 2013
8*2013
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