Arjen Doelman

Publication Activity (10 Years)

Years Active: 2000-2023
Publications (10 Years): 8

Top Topics

Dimensional Euclidean Space

Cellular Automaton

Pattern Formation

Periodic Patterns

Top Venues

SIAM J. Appl. Dyn. Syst.

J. Nonlinear Sci.

SIAM J. Math. Anal.

SIAM J. Appl. Math.

Publications

Eleanor Byrnes, Paul Carter, Arjen Doelman, Lily Liu
Large Amplitude Radially Symmetric Spots and Gaps in a Dryland Ecosystem Model. J. Nonlinear Sci. 33 (6) (2023)
Robbin Bastiaansen, Martina Chirilus-Bruckner, Arjen Doelman
Pulse Solutions for an Extended Klausmeier Model with Spatially Varying Coefficients. SIAM J. Appl. Dyn. Syst. 19 (1) (2020)
Robbin Bastiaansen, Arjen Doelman, Frank van Langevelde, Vivi Rottschäfer
Modeling Honey Bee Colonies in Winter Using a Keller-Segel Model With a Sign-Changing Chemotactic Coefficient. SIAM J. Appl. Math. 80 (2) (2020)
Paul Carter, Arjen Doelman
Traveling Stripes in the Klausmeier Model of Vegetation Pattern Formation. SIAM J. Appl. Math. 78 (6) (2018)
Arjen Doelman, Jens D. M. Rademacher, Björn de Rijk, Frits Veerman
Destabilization Mechanisms of Periodic Pulse Patterns Near a Homoclinic Limit. SIAM J. Appl. Dyn. Syst. 17 (2) (2018)
Lotte Sewalt, Arjen Doelman
Spatially Periodic Multipulse Patterns in a Generalized Klausmeier-Gray-Scott Model. SIAM J. Appl. Dyn. Syst. 16 (2) (2017)
Björn de Rijk, Arjen Doelman, Jens D. M. Rademacher
Spectra and Stability of Spatially Periodic Pulse Patterns: Evans Function Factorization via Riccati Transformation. SIAM J. Math. Anal. 48 (1) (2016)
Arjen Doelman, Peter van Heijster, Feng Xie
A Geometric Approach to Stationary Defect Solutions in One Space Dimension. SIAM J. Appl. Dyn. Syst. 15 (2) (2016)
Martina Chirilus-Bruckner, Arjen Doelman, Peter van Heijster, Jens D. M. Rademacher
Butterfly Catastrophe for Fronts in a Three-Component Reaction-Diffusion System. J. Nonlinear Sci. 25 (1) (2015)
Arjen Doelman, Gurgen Hayrapetyan, Keith Promislow, Brian T. R. Wetton
Meander and Pearling of Single-Curvature Bilayer Interfaces in the Functionalized Cahn-Hilliard Equation. SIAM J. Math. Anal. 46 (6) (2014)
Sjors van der Stelt, Arjen Doelman, Geertje Hek, Jens D. M. Rademacher
Rise and Fall of Periodic Patterns for a Generalized Klausmeier-Gray-Scott Model. J. Nonlinear Sci. 23 (1) (2013)
Frits Veerman, Arjen Doelman
Pulses in a Gierer-Meinhardt Equation with a Slow Nonlinearity. SIAM J. Appl. Dyn. Syst. 12 (1) (2013)
Matt Holzer, Arjen Doelman, Tasso J. Kaper
Existence and Stability of Traveling Pulses in a Reaction-Diffusion-Mechanics System. J. Nonlinear Sci. 23 (1) (2013)
Peter van Heijster, Arjen Doelman, Tasso J. Kaper, Keith Promislow
Front Interactions in a Three-Component System. SIAM J. Appl. Dyn. Syst. 9 (2) (2010)
Antonios Zagaris, Arjen Doelman, N. N. Pham Thi, Ben P. Sommeijer
Blooming in a Nonlocal, Coupled Phytoplankton-Nutrient Model. SIAM J. Appl. Math. 69 (4) (2009)
Arjen Doelman, Tasso J. Kaper, Keith Promislow
Nonlinear Asymptotic Stability of the Semistrong Pulse Dynamics in a Regularized Gierer-Meinhardt Model. SIAM J. Math. Anal. 38 (6) (2007)
Margaret Beck, Arjen Doelman, Tasso J. Kaper
A Geometric Construction of Traveling Waves in a Bioremediation Model. J. Nonlinear Sci. 16 (4) (2006)
Arjen Doelman, David Iron, Yasumasa Nishiura
Destabilization of Fronts in a Class of Bistable Systems. SIAM J. Math. Anal. 35 (6) (2004)
Arjen Doelman, Geertje Hek, Nienke Valkhoff
Stabilization by slow diffusion in a real Ginzburg-Landau system. J. Nonlinear Sci. 14 (3) (2004)
Arjen Doelman, Tasso J. Kaper
Semistrong Pulse Interactions in a Class of Coupled Reaction-Diffusion Equations. SIAM J. Appl. Dyn. Syst. 2 (1) (2003)
Arjen Doelman, Harmen van der Ploeg
Homoclinic Stripe Patterns. SIAM J. Appl. Dyn. Syst. 1 (1) (2002)
Arjen Doelman, Wiktor Eckhaus, Tasso J. Kaper
Slowly Modulated Two-Pulse Solutions in the Gray--Scott Model II: Geometric Theory, Bifurcations, and Splitting Dynamics. SIAM J. Appl. Math. 61 (6) (2001)
Arjen Doelman, Tasso J. Kaper, Wiktor Eckhaus
Slowly Modulated Two-Pulse Solutions in the Gray--Scott Model I: Asymptotic Construction and Stability. SIAM J. Appl. Math. 61 (3) (2000)