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Traveling fronts for lattice neural field equations

Physica. D, 2018-09, Vol.378-379, p.20-32

Faye, Grégory

2018

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Center manifolds without a phase space

Transactions of the American Mathematical Society, 2018-08, Vol.370 (8), p.5843-5885

2018

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Dynamics of epidemic spreading on connected graphs

Journal of mathematical biology, 2021-05, Vol.82 (6), p.52-52, Article 52

2021

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Spreading Properties for SIR Models on Homogeneous Trees

Bulletin of mathematical biology, 2021-11, Vol.83 (11), p.114-114, Article 114

2021

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Asymptotic stability of the critical pulled front in a Lotka-Volterra competition model

Journal of Differential Equations, 2020-10, Vol.269 (9), p.6559-6601

2020

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Modulated traveling fronts for a nonlocal Fisher-KPP equation: A dynamical systems approach

Journal of Differential Equations, 2015-04, Vol.258 (7), p.2257-2289

2015

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Mathematical Derivation of Wave Propagation Properties in Hierarchical Neural Networks with Predictive Coding Feedback Dynamics

Bulletin of mathematical biology, 2023-09, Vol.85 (9), p.80-80, Article 80

2023

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Asymptotic stability of the critical Fisher–KPP front using pointwise estimates

Zeitschrift für angewandte Mathematik und Physik, 2019-02, Vol.70 (1), p.1-21, Article 13

2019

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Existence of pulses in excitable media with nonlocal coupling

Advances in mathematics (New York. 1965), 2015-01, Vol.270, p.400-456

2015

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Exponential Asymptotic Stability of Riemann Shocks of Hyperbolic Systems of Balance Laws

SIAM journal on mathematical analysis, 2023-01, Vol.55 (6), p.6425-6456, Article 6425

2023

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Sharp stability for finite difference approximations of hyperbolic equations with boundary conditions

IMA journal of numerical analysis, 2023-02, Vol.43 (1), p.187-224

2023

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Rigorous Derivation of the Nonlocal Reaction-Diffusion Fitzhugh--Nagumo System

SIAM journal on mathematical analysis, 2019-01, Vol.51 (1), p.346-373

2019

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Existence and Stability of Nonmonotone Hydraulic Shocks for the Saint Venant Equations of Inclined Thin-Film Flow

Archive for rational mechanics and analysis, 2024-10, Vol.248 (5), p.82, Article 82

2024

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Invasion into remnant instability: a case study of front dynamics

Indiana University mathematics journal, 2022-01, Vol.71 (5), p.1819-1896

2022

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Monotone traveling waves for delayed neural field equations

Mathematical models & methods in applied sciences, 2016-09, Vol.26 (10), p.1919-1954

2016

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Existence and Stability of Traveling Pulses in a Neural Field Equation with Synaptic Depression

SIAM journal on applied dynamical systems, 2013-01, Vol.12 (4), p.2032-2067

Faye, Grégory

2013

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Bifurcation to locked fronts in two component reaction–diffusion systems

Annales de l'Institut Henri Poincaré. Analyse non linéaire, 2019-03, Vol.36 (2), p.545-584

2019

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Some theoretical and numerical results for delayed neural field equations

Physica. D, 2010-05, Vol.239 (9), p.561-578

2010

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The logarithmic Bramson correction for Fisher-KPP equations on the lattice ℤ

Transactions of the American Mathematical Society, 2023-08

2023

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Quantitative Estimates of the Threshold Phenomena for Propagation in Reaction-Diffusion Equations

SIAM journal on applied dynamical systems, 2020-01, Vol.19 (2), p.1291-1311

2020

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Generalized Gaussian bounds for discrete convolution powers

Revista matemática iberoamericana, 2022-01, Vol.38 (5), p.1553-1604, Article 1553

2022

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Linear spreading speeds from nonlinear resonant interaction

Nonlinearity, 2017-06, Vol.30 (6), p.2403-2442

2017

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Fredholm Properties of Nonlocal Differential Operators via Spectral Flow

Indiana University mathematics journal, 2014-01, Vol.63 (5), p.1311-1348

2014

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Asymptotic spreading for Fisher-KPP reaction-diffusion equations with heterogeneous shifting diffusivity

Discrete and continuous dynamical systems. Series S, 2022-09, Vol.15 (9), p.2467

2022

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Asymptotic behavior of nonlocal bistable reaction-diffusion equations

Discrete and continuous dynamical systems. Series B, 2023-12, Vol.28 (12), p.5967-5997

2023

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Traveling fronts for lattice neural field equations

Center manifolds without a phase space

Dynamics of epidemic spreading on connected graphs

Spreading Properties for SIR Models on Homogeneous Trees

Asymptotic stability of the critical pulled front in a Lotka-Volterra competition model

Modulated traveling fronts for a nonlocal Fisher-KPP equation: A dynamical systems approach

Mathematical Derivation of Wave Propagation Properties in Hierarchical Neural Networks with Predictive Coding Feedback Dynamics

Asymptotic stability of the critical Fisher–KPP front using pointwise estimates

Existence of pulses in excitable media with nonlocal coupling

Exponential Asymptotic Stability of Riemann Shocks of Hyperbolic Systems of Balance Laws

Sharp stability for finite difference approximations of hyperbolic equations with boundary conditions

Rigorous Derivation of the Nonlocal Reaction-Diffusion Fitzhugh--Nagumo System

Existence and Stability of Nonmonotone Hydraulic Shocks for the Saint Venant Equations of Inclined Thin-Film Flow

Invasion into remnant instability: a case study of front dynamics

Monotone traveling waves for delayed neural field equations

Existence and Stability of Traveling Pulses in a Neural Field Equation with Synaptic Depression

Bifurcation to locked fronts in two component reaction–diffusion systems

Some theoretical and numerical results for delayed neural field equations

The logarithmic Bramson correction for Fisher-KPP equations on the lattice ℤ

Quantitative Estimates of the Threshold Phenomena for Propagation in Reaction-Diffusion Equations

Generalized Gaussian bounds for discrete convolution powers

Linear spreading speeds from nonlinear resonant interaction

Fredholm Properties of Nonlocal Differential Operators via Spectral Flow

Asymptotic spreading for Fisher-KPP reaction-diffusion equations with heterogeneous shifting diffusivity

Asymptotic behavior of nonlocal bistable reaction-diffusion equations

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