| Fast pulses with oscillatory tails in the Fitzhugh--Nagumo system P Carter, B Sandstede SIAM Journal on Mathematical Analysis 47 (5), 3393-3441, 2015 | 58 | 2015 |
| 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 | 50 | 2016 |
| Stable planar vegetation stripe patterns on sloped terrain in dryland ecosystems R Bastiaansen, P Carter, A Doelman Nonlinearity 32 (8), 2759, 2019 | 35 | 2019 |
| Unpeeling a Homoclinic Banana in the FitzHugh--Nagumo System P Carter, B Sandstede SIAM Journal on Applied Dynamical Systems 17 (1), 236-349, 2018 | 27 | 2018 |
| Traveling stripes in the Klausmeier model of vegetation pattern formation P Carter, A Doelman SIAM Journal on Applied Mathematics 78 (6), 3213-3237, 2018 | 20 | 2018 |
| 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 | 15 | 2019 |
| Transonic canards and stellar wind P Carter, E Knobloch, M Wechselberger Nonlinearity 30 (3), 1006, 2017 | 14 | 2017 |
| Wave train selection by invasion fronts in the FitzHugh–Nagumo equation P Carter, A Scheel Nonlinearity 31 (12), 5536, 2018 | 13 | 2018 |
| 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 | 13 | 2017 |
| 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 | 11 | 2017 |
| Pulse replication and accumulation of eigenvalues P Carter, JDM Rademacher, B Sandstede SIAM Journal on Mathematical Analysis 53 (3), 3520-3576, 2021 | 9 | 2021 |
| 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 | 9 | 2019 |
| Spike-adding canard explosion in a class of square-wave bursters P Carter | 7 | 2019 |
| 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 | 6 | 2023 |
| 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 | 5 | 2024 |
| 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 | 5 | 2014 |
| 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 | 3 | 2023 |
| Wiggly canards: Growth of traveling wave trains through a family of fast-subsystem foci P Carter, AR Champneys Discrete & Continuous Dynamical Systems-S, 2022 | 2 | 2022 |
| 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 | 2 | 2021 |
| A stabilizing effect of advection on planar interfaces in singularly perturbed reaction-diffusion equations P Carter arXiv preprint arXiv:2310.13846, 2023 | 1 | 2023 |
Bjorn SandstedeProfessor of Applied Mathematics, Brown UniversityVerified email at brown.edu
