Paul Carter

Paul Carter

University of Minnesota-Twin Cities

H-index: 10

North America-United States

About Paul Carter

Paul Carter, With an exceptional h-index of 10 and a recent h-index of 9 (since 2020), a distinguished researcher at University of Minnesota-Twin Cities, specializes in the field of Differential Equations, Dynamical Systems, Pattern Formation.

His recent articles reflect a diverse array of research interests and contributions to the field:

Enabling equation-free modeling via diffusion maps

Criteria for the (in) stability of planar interfaces in singularly perturbed 2-component reaction–diffusion equations

Travelling pulses on three spatial scales in a Klausmeier-type vegetation-autotoxicity model

Large amplitude radially symmetric spots and gaps in a dryland ecosystem model

A stabilizing effect of advection on planar interfaces in singularly perturbed reaction-diffusion equations

Stability of coherent pattern formation through invasion in the FitzHugh-Nagumo system

Rethinking tipping points in spatial ecosystems

Preface: Special issue on advances in the mathematical study of pattern formation

Paul Carter Information

University

Position

___

Citations(all)

293

Citations(since 2020)

242

Cited By

163

hIndex(all)

10

hIndex(since 2020)

9

i10Index(all)

10

i10Index(since 2020)

9

Email

University Profile Page

Google Scholar

Paul Carter Skills & Research Interests

Differential Equations

Dynamical Systems

Pattern Formation

Top articles of Paul Carter

Enabling equation-free modeling via diffusion maps

Journal of Dynamics and Differential Equations

2022/1/28

Criteria for the (in) stability of planar interfaces in singularly perturbed 2-component reaction–diffusion equations

Physica D: Nonlinear Phenomena

2023/2/1

Paul Carter
Paul Carter

H-Index: 7

Shreyas Rao
Shreyas Rao

H-Index: 0

Travelling pulses on three spatial scales in a Klausmeier-type vegetation-autotoxicity model

arXiv preprint arXiv:2312.12277

2023/12/19

Large amplitude radially symmetric spots and gaps in a dryland ecosystem model

Journal of Nonlinear Science

2023/12

Paul Carter
Paul Carter

H-Index: 7

A stabilizing effect of advection on planar interfaces in singularly perturbed reaction-diffusion equations

arXiv preprint arXiv:2310.13846

2023/10/20

Paul Carter
Paul Carter

H-Index: 7

Stability of coherent pattern formation through invasion in the FitzHugh-Nagumo system

arXiv preprint arXiv:2310.08765

2023/10/12

Paul Carter
Paul Carter

H-Index: 7

Arnd Scheel
Arnd Scheel

H-Index: 20

Rethinking tipping points in spatial ecosystems

arXiv preprint arXiv:2306.13571

2023/6/23

Preface: Special issue on advances in the mathematical study of pattern formation

Discrete and Continuous Dynamical Systems-S

2022/9/1

Wiggly canards: Growth of traveling wave trains through a family of fast-subsystem foci

Discrete & Continuous Dynamical Systems-S

2022/1

Paul Carter
Paul Carter

H-Index: 7

Pulse replication and accumulation of eigenvalues

SIAM Journal on Mathematical Analysis

2021

Paul Carter
Paul Carter

H-Index: 7

Existence of Transonic Solutions in the Stellar Wind Problem with Viscosity and Heat Conduction

SIAM Journal on Applied Dynamical Systems

2021

Adam Bauer
Adam Bauer

H-Index: 17

Paul Carter
Paul Carter

H-Index: 7

See List of Professors in Paul Carter University(University of Minnesota-Twin Cities)

Co-Authors

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