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Paul Carter
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Fast pulses with oscillatory tails in the Fitzhugh--Nagumo system
P Carter, B Sandstede
SIAM Journal on Mathematical Analysis 47 (5), 3393-3441, 2015
592015
Stability of traveling pulses with oscillatory tails in the FitzHugh–Nagumo system
P Carter, B de Rijk, B Sandstede
Journal of Nonlinear Science 26 (5), 1369-1444, 2016
502016
Stable planar vegetation stripe patterns on sloped terrain in dryland ecosystems
R Bastiaansen, P Carter, A Doelman
Nonlinearity 32 (8), 2759, 2019
362019
Unpeeling a Homoclinic Banana in the FitzHugh--Nagumo System
P Carter, B Sandstede
SIAM Journal on Applied Dynamical Systems 17 (1), 236-349, 2018
282018
Traveling stripes in the Klausmeier model of vegetation pattern formation
P Carter, A Doelman
SIAM Journal on Applied Mathematics 78 (6), 3213-3237, 2018
222018
Localized radial roll patterns in higher space dimensions
JJ Bramburger, D Altschuler, CI Avery, T Sangsawang, M Beck, P Carter, ...
SIAM Journal on Applied Dynamical Systems 18 (3), 1420-1453, 2019
162019
Transonic canards and stellar wind
P Carter, E Knobloch, M Wechselberger
Nonlinearity 30 (3), 1006, 2017
142017
Wave train selection by invasion fronts in the FitzHugh–Nagumo equation
P Carter, A Scheel
Nonlinearity 31 (12), 5536, 2018
132018
Assimilating Eulerian and Lagrangian data in traffic-flow models
C Xia, C Cochrane, J DeGuire, G Fan, E Holmes, M McGuirl, P Murphy, ...
Physica D: Nonlinear Phenomena 346, 59-72, 2017
132017
On Functions Whose Mean Value Abscissas Are Midpoints, with Connections to Harmonic Functions
P Carter, D Lowry-Duda
The American Mathematical Monthly 124 (6), 535-542, 2017
112017
Pulse replication and accumulation of eigenvalues
P Carter, JDM Rademacher, B Sandstede
SIAM Journal on Mathematical Analysis 53 (3), 3520-3576, 2021
92021
Isolas versus snaking of localized rolls
T Aougab, M Beck, P Carter, S Desai, B Sandstede, M Stadt, A Wheeler
Journal of Dynamics and Differential Equations 31 (3), 1199-1222, 2019
92019
Large amplitude radially symmetric spots and gaps in a dryland ecosystem model
E Byrnes, P Carter, A Doelman, L Liu
Journal of Nonlinear Science 33 (6), 107, 2023
72023
Spike-adding canard explosion in a class of square-wave bursters
P Carter
72019
Enabling equation-free modeling via diffusion maps
T Chin, J Ruth, C Sanford, R Santorella, P Carter, B Sandstede
Journal of Dynamics and Differential Equations 36 (Suppl 1), 415-434, 2024
62024
Multijam solutions in traffic models with velocity-dependent driver strategies
P Carter, PL Christiansen, YB Gaididei, C Gorria, B Sandstede, ...
SIAM Journal on Applied Mathematics 74 (6), 1895-1918, 2014
62014
Criteria for the (in) stability of planar interfaces in singularly perturbed 2-component reaction–diffusion equations
P Carter, A Doelman, K Lilly, E Obermayer, S Rao
Physica D: Nonlinear Phenomena 444, 133596, 2023
32023
Wiggly canards: Growth of traveling wave trains through a family of fast-subsystem foci
P Carter, AR Champneys
Discrete & Continuous Dynamical Systems-S, 2022
22022
Existence of Transonic Solutions in the Stellar Wind Problem with Viscosity and Heat Conduction
A Bauer, P Carter
SIAM Journal on Applied Dynamical Systems 20 (1), 262-298, 2021
22021
A stabilizing effect of advection on planar interfaces in singularly perturbed reaction-diffusion equations
P Carter
SIAM Journal on Applied Mathematics 84 (3), 1227-1253, 2024
12024
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