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ANOMALOUS INVASION SPEED IN A SYSTEM OF COUPLED REACTION-DIFFUSION EQUATIONS *

Grégory Faye , Gwenaël Peltier
Communications in Mathematical Sciences, 2018, 16 (2), pp.441-461
Journal articles hal-01682276v1
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Localized states in an unbounded neural field equation with smooth firing rate function: a multi-parameter analysis

Grégory Faye , James Rankin , Pascal Chossat
[Research Report] RR-7872, INRIA. 2012, pp.31
Reports hal-00665464v1
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Traveling fronts for lattice neural field equations

Grégory Faye
Physica D: Nonlinear Phenomena, 2018, 378/379, pp.20-32
Journal articles hal-01682252v1
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Asymptotic spreading for Fisher-KPP reaction-diffusion equations with heterogeneous shifting diffusivity

Grégory Faye , Thomas Giletti , Matt Holzer
Discrete and Continuous Dynamical Systems - Series S, In press
Journal articles hal-03183578v1
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The logarithmic Bramson correction for Fisher-KPP equations on the lattice $\mathbb{Z}$

Christophe Besse , Grégory Faye , Jean-Michel Roquejoffre , Mingmin Zhang
2022
Preprints, Working Papers, ... hal-03690078v1

Some theoretical and numerical results for delayed neural field equations

Grégory Faye , Olivier Faugeras
Physica D: Nonlinear Phenomena, 2010, 239 (9), pp.561--578
Journal articles hal-00847433v1

Some theoretical results for a class of neural mass equations

Grégory Faye , Pascal Chossat , Olivier Faugeras
2010
Preprints, Working Papers, ... hal-00846150v1
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Rigorous derivation of the nonlocal reaction-diffusion FitzHugh-Nagumo system

Joachim Crevat , Grégory Faye , Francis Filbet
SIAM Journal on Mathematical Analysis, 2019
Journal articles hal-01757580v2
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Asymptotic behavior of nonlocal bistable reaction-diffusion equations

Christophe Besse , Alexandre Capel , Grégory Faye , Guilhem Fouilhé
Discrete and Continuous Dynamical Systems - Series B, 2022
Journal articles hal-03528365v1
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Rupture de symétrie et formation de structures dans certaines équations de champs neuronaux

Grégory Faye
Mathématiques générales [math.GM]. Université Nice Sophia Antipolis, 2012. Français. ⟨NNT : ⟩
Theses tel-00850269v1

Pattern Formation for the Swift-Hohenberg Equation on the Hyperbolic Plane

Pascal Chossat , Grégory Faye
Journal of Dynamics and Differential Equations, 2013, pp.1--47. ⟨10.1007/s10884-013-9308-3⟩
Journal articles hal-00845612v1
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Bifurcation of hyperbolic planforms

Pascal Chossat , Grégory Faye , Olivier Faugeras
Journal of Nonlinear Science, 2011, 21 (4), pp.465-498. ⟨10.1007/s00332-010-9089-3⟩
Journal articles hal-00807355v1
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New results for delayed neural field equations

Grégory Faye , Olivier Faugeras
Cinquième conférence plénière française de Neurosciences Computationnelles, "Neurocomp'10", Aug 2010, Lyon, France
Conference papers hal-00553401v1
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Sharp stability for finite difference approximations of hyperbolic equations with boundary conditions

Jean-François Coulombel , Grégory Faye
IMA Journal of Numerical Analysis, In press
Journal articles hal-03131269v1
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Pinning and Unpinning in Nonlocal Systems

Taylor Anderson , Grégory Faye , Arnd Scheel , David Stauffer
Journal of Dynamics and Differential Equations, 2016, 28 (3-4), pp.897 - 923. ⟨10.1007/s10884-016-9518-6⟩
Journal articles hal-01682314v1

Reduction method for studying localized solutions of neural field equations on the Poincaré disk

Grégory Faye
Comptes rendus de l'Académie des sciences. Série I, Mathématique, 2012, 350 (3-4), pp.161--166. ⟨10.1016/j.crma.2012.01.022⟩
Journal articles hal-00845587v1
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Bifurcation diagrams and heteroclinic networks of octagonal H-planforms

Grégory Faye , Pascal Chossat
Journal of Nonlinear Science, 2012, 22 (1), pp.277-325. ⟨10.1007/s00332-011-9118-x⟩
Journal articles hal-00807364v1
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Center Manifolds without a Phase Space

Grégory Faye , Arnd Scheel
Transactions of the American Mathematical Society, 2018, 370 (8), pp.5843-5885
Journal articles hal-01682294v1
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Invasion into remnant instability: a case study of front dynamics

Grégory Faye , Matt Holzer , Arnd Scheel , Lars Siemer
Indiana University Mathematics Journal, In press
Journal articles hal-02930171v1
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Asymptotic stability of the critical Fisher-KPP front using pointwise estimates

Grégory Faye , Matt Holzer
Zeitschrift für Angewandte Mathematik und Physik, In press
Journal articles hal-01676017v1
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Hyperbolic bumps

Grégory Faye , Pascal Chossat , Olivier Faugeras
Cinquième conférence plénière française de Neurosciences Computationnelles, "Neurocomp'10", Aug 2010, Lyon, France
Conference papers hal-00553402v1
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Quantitative estimates of the threshold phenomena for propagation in reaction-diffusion equations

Matthieu Alfaro , Arnaud Ducrot , Grégory Faye
SIAM Journal on Applied Dynamical Systems, 2020, 19 (2), pp.1291-1311. ⟨10.1137/19M1292187⟩
Journal articles hal-02308673v1
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Asymptotic stability of the critical pulled front in a Lotka-Volterra competition model

Grégory Faye , Matt Holzer
Journal of Differential Equations, 2020, 269 (9), ⟨10.1016/j.jde.2020.05.012⟩
Journal articles hal-02092829v1
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EXPONENTIAL ASYMPTOTIC STABILITY OF RIEMANN SHOCKS OF HYPERBOLIC SYSTEMS OF BALANCE LAWS

Grégory Faye , L. Miguel Rodrigues
2022
Preprints, Working Papers, ... hal-03738369v1

Continuation of localised coherent structures in nonlocal neural field equations

James Rankin , Daniele Avitabile , Javier Baladron , Grégory Faye , David J. B. Lloyd et al.
2013
Preprints, Working Papers, ... hal-00850408v1
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Analysis of a hyperbolic geometric model for visual texture perception

Grégory Faye , Pascal Chossat , Olivier Faugeras
Journal of Mathematical Neuroscience, 2011, 1 (1), pp.4. ⟨10.1186/2190-8567-1-4⟩
Journal articles hal-00784424v1
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Threshold of front propagation in neural fields: An interface dynamics approach

Grégory Faye , Zachary P Kilpatrick
SIAM Journal on Applied Mathematics, 2018, 78 (5), pp.2575-2596
Journal articles hal-01686985v1
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Some propagation phenomena in local and nonlocal reaction-diffusion equations - A dynamical systems approach

Grégory Faye
Analysis of PDEs [math.AP]. Université de Toulouse 3 Paul Sabatier, 2019
Habilitation à diriger des recherches tel-02087834v1

Pulsatile localized dynamics in delayed neural-field equations in arbitrary dimension

Grégory Faye , Jonathan Touboul
SIAM Journal on Applied Mathematics, 2014, 74 (5), pp.1657-1690. ⟨10.1137/140955458⟩
Journal articles hal-01095239v1
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Spreading properties for SIR models on homogeneous trees

Christophe Besse , Grégory Faye
Bulletin of Mathematical Biology, 2021
Journal articles hal-03251359v1