Arjen Doelman

According to our database, Arjen Doelman authored at least 23 papers between 2000 and 2023.

Collaborative distances:

• Dijkstra number of four.
• Erdős number of five.

2023

Large Amplitude Radially Symmetric Spots and Gaps in a Dryland Ecosystem Model.

Eleanor Byrnes, Paul Carter, Arjen Doelman, Lily Liu

J. Nonlinear Sci., December, 2023

2020

Modeling Honey Bee Colonies in Winter Using a Keller-Segel Model With a Sign-Changing Chemotactic Coefficient.

Robbin Bastiaansen, Arjen Doelman, Frank van Langevelde, Vivi Rottschäfer

SIAM J. Appl. Math., 2020

Pulse Solutions for an Extended Klausmeier Model with Spatially Varying Coefficients.

Robbin Bastiaansen, Martina Chirilus-Bruckner, Arjen Doelman

SIAM J. Appl. Dyn. Syst., 2020

2018

Traveling Stripes in the Klausmeier Model of Vegetation Pattern Formation.

Paul Carter, Arjen Doelman

SIAM J. Appl. Math., 2018

Destabilization Mechanisms of Periodic Pulse Patterns Near a Homoclinic Limit.

Arjen Doelman, Jens D. M. Rademacher, Björn de Rijk, Frits Veerman

SIAM J. Appl. Dyn. Syst., 2018

2017

Spatially Periodic Multipulse Patterns in a Generalized Klausmeier-Gray-Scott Model.

Lotte Sewalt, Arjen Doelman

SIAM J. Appl. Dyn. Syst., 2017

2016

Spectra and Stability of Spatially Periodic Pulse Patterns: Evans Function Factorization via Riccati Transformation.

Björn de Rijk, Arjen Doelman, Jens D. M. Rademacher

SIAM J. Math. Anal., 2016

A Geometric Approach to Stationary Defect Solutions in One Space Dimension.

Arjen Doelman, Peter van Heijster, Feng Xie

SIAM J. Appl. Dyn. Syst., 2016

2015

Butterfly Catastrophe for Fronts in a Three-Component Reaction-Diffusion System.

Martina Chirilus-Bruckner, Arjen Doelman, Peter van Heijster, Jens D. M. Rademacher

J. Nonlinear Sci., 2015

2014

Meander and Pearling of Single-Curvature Bilayer Interfaces in the Functionalized Cahn-Hilliard Equation.

Arjen Doelman, Gurgen Hayrapetyan, Keith Promislow, Brian T. R. Wetton

SIAM J. Math. Anal., 2014

2013

Pulses in a Gierer-Meinhardt Equation with a Slow Nonlinearity.

Frits Veerman, Arjen Doelman

SIAM J. Appl. Dyn. Syst., 2013

Rise and Fall of Periodic Patterns for a Generalized Klausmeier-Gray-Scott Model.

Sjors van der Stelt, Arjen Doelman, Geertje Hek, Jens D. M. Rademacher

J. Nonlinear Sci., 2013

Existence and Stability of Traveling Pulses in a Reaction-Diffusion-Mechanics System.

Matt Holzer, Arjen Doelman, Tasso J. Kaper

J. Nonlinear Sci., 2013

2010

Front Interactions in a Three-Component System.

Peter van Heijster, Arjen Doelman, Tasso J. Kaper, Keith Promislow

SIAM J. Appl. Dyn. Syst., 2010

2009

Blooming in a Nonlocal, Coupled Phytoplankton-Nutrient Model.

Antonios Zagaris, Arjen Doelman, N. N. Pham Thi, Ben P. Sommeijer

SIAM J. Appl. Math., 2009

2007

Nonlinear Asymptotic Stability of the Semistrong Pulse Dynamics in a Regularized Gierer-Meinhardt Model.

Arjen Doelman, Tasso J. Kaper, Keith Promislow

SIAM J. Math. Anal., 2007

2006

A Geometric Construction of Traveling Waves in a Bioremediation Model.

Margaret Beck, Arjen Doelman, Tasso J. Kaper

J. Nonlinear Sci., 2006

2004

Destabilization of Fronts in a Class of Bistable Systems.

Arjen Doelman, David Iron, Yasumasa Nishiura

SIAM J. Math. Anal., 2004

Stabilization by slow diffusion in a real Ginzburg-Landau system.

Arjen Doelman, Geertje Hek, Nienke Valkhoff

J. Nonlinear Sci., 2004

2003

Semistrong Pulse Interactions in a Class of Coupled Reaction-Diffusion Equations.

Arjen Doelman, Tasso J. Kaper

SIAM J. Appl. Dyn. Syst., 2003

2002

Homoclinic Stripe Patterns.

Arjen Doelman, Harmen van der Ploeg

SIAM J. Appl. Dyn. Syst., 2002

2001

Slowly Modulated Two-Pulse Solutions in the Gray--Scott Model II: Geometric Theory, Bifurcations, and Splitting Dynamics.

Arjen Doelman, Wiktor Eckhaus, Tasso J. Kaper

SIAM J. Appl. Math., 2001

2000

Slowly Modulated Two-Pulse Solutions in the Gray--Scott Model I: Asymptotic Construction and Stability.

Arjen Doelman, Tasso J. Kaper, Wiktor Eckhaus

SIAM J. Appl. Math., 2000