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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
Article dans une revue
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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
Rapport
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Traveling fronts for lattice neural field equations
Grégory Faye
Physica D: Nonlinear Phenomena, 2018, 378/379, pp.20-32
Article dans une revue
hal-01682252v1
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Asymptotic spreading for Fisher-KPP reaction-diffusion equations with heterogeneous shifting diffusivity
Grégory Faye
,
Thomas Giletti
,
Matt Holzer
Article dans une revue
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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 : ⟩
Thèse
tel-00850269v1
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Pattern Formation for the Swift-Hohenberg Equation on the Hyperbolic Plane
Pascal Chossat
,
Grégory Faye
Article dans une revue
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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
Article dans une revue
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
Article dans une revue
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EXISTENCE AND STABILITY OF NONMONOTONE HYDRAULIC SHOCKS FOR THE SAINT VENANT EQUATIONS OF INCLINED THIN-FILM FLOW
Grégory Faye
,
L. Miguel Rodrigues
,
Zhao Yang
,
Kevin Zumbrun
2023
Pré-publication, Document de travail
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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
Communication dans un congrès
hal-00553401v1
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Bifurcation of hyperbolic planforms
Pascal Chossat
,
Grégory Faye
,
Olivier Faugeras
Article dans une revue
hal-00807355v1
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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, 2023, 43 (1), pp.187-224
Article dans une revue
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Pinning and Unpinning in Nonlocal Systems
Taylor Anderson
,
Grégory Faye
,
Arnd Scheel
,
David Stauffer
Article dans une revue
hal-01682314v1
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Some theoretical results for a class of neural mass equations
Grégory Faye
,
Pascal Chossat
,
Olivier Faugeras
2010
Pré-publication, Document de travail
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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
Article dans une revue
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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
Transactions of the American Mathematical Society, In press
Article dans une revue
hal-03690078v2
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Mathematical derivation of wave propagation properties in hierarchical neural networks with predictive coding feedback dynamics
Grégory Faye
,
Guilhem Fouilhé
,
Rufin VanRullen
Bulletin of Mathematical Biology, In press
Article dans une revue
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Spreading properties in Kermack - McKendrick models with nonlocal spatial interactions -- A new look
Grégory Faye
,
Jean-Michel Roquejoffre
,
Mingmin Zhang
2023
Pré-publication, Document de travail
hal-04078812v1
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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
2013
Pré-publication, Document de travail
hal-00850408v1
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Analysis of a hyperbolic geometric model for visual texture perception
Grégory Faye
,
Pascal Chossat
,
Olivier Faugeras
Article dans une revue
hal-00784424v1
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Quantitative estimates of the threshold phenomena for propagation in reaction-diffusion equations
Matthieu Alfaro
,
Arnaud Ducrot
,
Grégory Faye
Article dans une revue
hal-02308673v1
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Asymptotic stability of the critical pulled front in a Lotka-Volterra competition model
Grégory Faye
,
Matt Holzer
Article dans une revue
hal-02092829v1
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EXPONENTIAL ASYMPTOTIC STABILITY OF RIEMANN SHOCKS OF HYPERBOLIC SYSTEMS OF BALANCE LAWS
Grégory Faye
,
L. Miguel Rodrigues
SIAM Journal on Mathematical Analysis, In press
Article dans une revue
hal-03738369v1
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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
HDR
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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
Article dans une revue
hal-01686985v1
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Pulsatile localized dynamics in delayed neural-field equations in arbitrary dimension
Grégory Faye
,
Jonathan Touboul
Article dans une revue
hal-01095239v1
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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
Communication dans un congrès
hal-00553402v1
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Bifurcation diagrams and heteroclinic networks of octagonal H-planforms
Grégory Faye
,
Pascal Chossat
Article dans une revue
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
Article dans une revue
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
Article dans une revue
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