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)

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)

Homoclinic Stripe Patterns. - Arjen Doelman; Harmen van der Ploeg (SIAM J. Appl. Dyn. Syst., 2002)

Semistrong Pulse Interactions in a Class of Coupled Reaction-Diffusion Equations. - Arjen Doelman; Tasso J. Kaper (SIAM J. Appl. Dyn. Syst., 2003)

Stabilization by slow diffusion in a real Ginzburg-Landau system. - Arjen Doelman; Geertje Hek; Nienke Valkhoff (J. Nonlinear Sci., 2004)

Destabilization of Fronts in a Class of Bistable Systems. - Arjen Doelman; David Iron; Yasumasa Nishiura (SIAM J. Math. Anal., 2004)

A Geometric Construction of Traveling Waves in a Bioremediation Model. - Margaret Beck; Arjen Doelman; Tasso J. Kaper (J. Nonlinear Sci., 2006)

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)

Blooming in a Nonlocal, Coupled Phytoplankton-Nutrient Model. - Antonios Zagaris; Arjen Doelman; N. N. Pham Thi; Ben P. Sommeijer (SIAM J. Appl. Math., 2009)

Front Interactions in a Three-Component System. - Peter van Heijster; Arjen Doelman; Tasso J. Kaper; Keith Promislow (SIAM J. Appl. Dyn. Syst., 2010)

Existence and Stability of Traveling Pulses in a Reaction-Diffusion-Mechanics System. - Matt Holzer; Arjen Doelman; Tasso J. Kaper (J. Nonlinear Sci., 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)

Pulses in a Gierer-Meinhardt Equation with a Slow Nonlinearity. - Frits Veerman; Arjen Doelman (SIAM J. Appl. Dyn. Syst., 2013)

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)

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)

A Geometric Approach to Stationary Defect Solutions in One Space Dimension. - Arjen Doelman; Peter van Heijster; Feng Xie (SIAM J. Appl. Dyn. Syst., 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)

Spatially Periodic Multipulse Patterns in a Generalized Klausmeier-Gray-Scott Model. - Lotte Sewalt; Arjen Doelman (SIAM J. Appl. Dyn. Syst., 2017)

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)

Traveling Stripes in the Klausmeier Model of Vegetation Pattern Formation. - Paul Carter; Arjen Doelman (SIAM J. Appl. Math., 2018)

Pulse Solutions for an Extended Klausmeier Model with Spatially Varying Coefficients. - Robbin Bastiaansen; Martina Chirilus-Bruckner; Arjen Doelman (SIAM J. Appl. Dyn. Syst., 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)

Large Amplitude Radially Symmetric Spots and Gaps in a Dryland Ecosystem Model. - Eleanor Byrnes; Paul Carter; Arjen Doelman; Lily Liu (J. Nonlinear Sci., 2023)