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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
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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
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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
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Pattern Formation for the Swift-Hohenberg Equation on the Hyperbolic Plane
Pascal Chossat
,
Grégory Faye
Journal articles
hal-00845612v1
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Bifurcation of hyperbolic planforms
Pascal Chossat
,
Grégory Faye
,
Olivier Faugeras
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 articles
hal-01682314v1
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Reduction method for studying localized solutions of neural field equations on the Poincaré disk
Grégory Faye
Journal articles
hal-00845587v1
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Bifurcation diagrams and heteroclinic networks of octagonal H-planforms
Grégory Faye
,
Pascal Chossat
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
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 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
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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 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
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Pulsatile localized dynamics in delayed neural-field equations in arbitrary dimension
Grégory Faye
,
Jonathan Touboul
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
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