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ArticlesPeer ReviewedFull Text
Ecosystems off track: rate-induced critical transitions in ecological models
Author / Creator:Siteur, Koen ; Eppinga, Maarten B. ; Doelman, Arjen ; Siero, Eric ; Rietkerk, Max
Publisher:Oxford, UK: Blackwell Publishing Ltd
Journal title:Oikos, 2016-12, Vol.125 (12), p.1689-1699
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Phase separation explains a new class of self-organized spatial patterns in ecological systems
Author / Creator:Liu, Quan-Xing ; Doelman, Arjen ; Rottschäfer, Vivi ; de Jager, Monique ; Herman, Peter M. J. ; Rietkerk, Max ; van de Koppel, Johan
Publisher:Washington, DC: National Academy of Sciences
Journal title:Proceedings of the National Academy of Sciences - PNAS, 2013-07, Vol.110 (29), p.11905-11910
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Pulse dynamics in reaction-diffusion equations with strong spatially localized impurities
Author / Creator:Doelman, Arjen ; van Heijster, Peter ; Shen, Jianhe
Publisher:England: The Royal Society Publishing
Journal title:Philosophical transactions of the Royal Society of London. Series A: Mathematical, physical, and engineering sciences, 2018-04, Vol.376 (2117), p.20170183-20170183
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Adiabatic Stability Under Semi-Strong Interactions: The Weakly Damped Regime
Author / Creator:Bellsky, Thomas ; Doelman, Arjen ; Kaper, Tasso J. ; Promislow, Keith
Publisher:Department of Mathematics of Indiana University
Journal title:Indiana University mathematics journal, 2013-01, Vol.62 (6), p.1809-1859
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Nonlinear Asymptotic Stability of the Semistrong Pulse Dynamics in a Regularized Gierer–Meinhardt Model
Author / Creator:Doelman, Arjen ; Kaper, Tasso J. ; Promislow, Keith
Publisher:Philadelphia, PA: Society for Industrial and Applied Mathematics
Journal title:SIAM journal on mathematical analysis, 2007-01, Vol.38 (6), p.1760-1787
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Stability of Spatially Periodic Pulse Patterns in A Class of Singularly Perturbed Reaction-diffusion Equations
Author / Creator:van der Ploeg, Harmen ; Doelman, Arjen
Publisher:Bloomington, IN: Department of Mathematics of Indiana University
Journal title:Indiana University mathematics journal, 2005-01, Vol.54 (5), p.1219-1301
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Semistrong Pulse Interactions in a Class of Coupled Reaction-Diffusion Equations
Author / Creator:Doelman, Arjen ; Kaper, Tasso J.
Publisher:Philadelphia: Society for Industrial and Applied Mathematics
Journal title:SIAM journal on applied dynamical systems, 2003-01, Vol.2 (1), p.53-96
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Large stable pulse solutions in reaction-diffusion equations
Author / Creator:Doelman, Arjen ; Gardner, Robert A. ; Kaper, Tasso J.
Journal title:Indiana University mathematics journal, 2001, Vol.50 (1), p.443-508
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Propagation of hexagonal patterns near onset
Author / Creator:DOELMAN, ARJEN ; SANDSTEDE, BJÖRN ; SCHEEL, ARND ; SCHNEIDER, GUIDO
Publisher:Cambridge, UK: Cambridge University Press
Journal title:European journal of applied mathematics, 2003-02, Vol.14 (1), p.85-110
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Slowly Modulated Two-Pulse Solutions in the Gray-Scott Model I: Asymptotic Construction and Stability
Author / Creator:Doelman, Arjen ; Eckhaus, Wiktor ; Kaper, Tasso J.
Publisher:Philadelphia: Society for Industrial and Applied Mathematics
Journal title:SIAM journal on applied mathematics, 2000, Vol.61 (3), p.1080-1102
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Slowly Modulated Two-Pulse Solutions in the Gray-Scott Model II: Geometric Theory, Bifurcations, and Splitting Dynamics
Author / Creator:Doelman, Arjen ; Eckhaus, Wiktor ; Kaper, Tasso J.
Publisher:Philadelphia: Society for Industrial and Applied Mathematics
Journal title:SIAM journal on applied mathematics, 2001, Vol.61 (6), p.2036-2062
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Multistability of model and real dryland ecosystems through spatial self-organization
Author / Creator:Bastiaansen, Robbin ; Jaïbi, Olfa ; Deblauwe, Vincent ; Eppinga, Maarten B. ; Siteur, Koen ; Siero, Eric ; Mermoz, Stéphane ; Bouvet, Alexandre ; Doelman, Arjen ; Rietkerk, Max
Publisher:United States: National Academy of Sciences
Journal title:Proceedings of the National Academy of Sciences - PNAS, 2018-10, Vol.115 (44), p.11256-11261
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Vegetation Patterning Can Both Impede and Trigger Critical Transitions from Savanna to Grassland
Author / Creator:van der Voort, Jelle ; Baudena, Mara ; Meron, Ehud ; Rietkerk, Max ; Doelman, Arjen
Journal title:Environmental research letters, 2025-03
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ArticlesPeer ReviewedFull Text
Pulses in a Gierer--Meinhardt Equation with a Slow Nonlinearity
Author / Creator:Veerman, Frits ; Doelman, Arjen
Publisher:Philadelphia: Society for Industrial and Applied Mathematics
Journal title:SIAM journal on applied dynamical systems, 2013-01, Vol.12 (1), p.28-60
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ArticlesPeer ReviewedFull Text
Pulse dynamics in reaction–diffusion equations with strong spatially localized impurities
Author / Creator:Doelman, Arjen ; van Heijster, Peter ; Shen, Jianhe
Publisher:THE ROYAL SOCIETY
Journal title:Philosophical transactions of the Royal Society of London. Series A: Mathematical, physical, and engineering sciences, 2018-04, Vol.376 (2117), p.1-20
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Robust Stability of Multicomponent Membranes: The Role of Glycolipids
Author / Creator:Chen, Yuan ; Doelman, Arjen ; Promislow, Keith ; Veerman, Frits
Publisher:Berlin/Heidelberg: Springer Berlin Heidelberg
Journal title:Archive for rational mechanics and analysis, 2020-12, Vol.238 (3), p.1521-1557
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Grazing Away the Resilience of Patterned Ecosystems
Author / Creator:Siero, Eric ; Siteur, Koen ; Doelman, Arjen ; van de Koppel, Johan ; Rietkerk, Max ; Eppinga, Maarten B.
Publisher:United States: University of Chicago Press
Journal title:The American naturalist, 2019-03, Vol.193 (3), p.472-480
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Meander and Pearling of Single-Curvature Bilayer Interfaces in the Functionalized Cahn--Hilliard Equation
Author / Creator:Doelman, Arjen ; Hayrapetyan, Gurgen ; Promislow, Keith ; Wetton, Brian
Journal title:SIAM journal on mathematical analysis, 2014-01, Vol.46 (6), p.3640-3677
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ArticlesPeer ReviewedFull Text
Homoclinic Explosions and Implosions
Author / Creator:Doelman, A. ; Holmes, P.
Publisher:London: The Royal Society
Journal title:Philosophical transactions of the Royal Society of London. Series A: Mathematical, physical, and engineering sciences, 1996-04, Vol.354 (1709), p.845-893
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Slow localized patterns in singularly perturbed 2-component reaction-diffusion equations
Author / Creator:Doelman, Arjen
Publisher:Ithaca: Cornell University Library, arXiv.org
Journal title:arXiv.org, 2021-05
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Showing 1 to 20 of 47 results

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Ecosystems off track: rate-induced critical transitions in ecological models

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Phase separation explains a new class of self-organized spatial patterns in ecological systems

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Pulse dynamics in reaction-diffusion equations with strong spatially localized impurities

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Adiabatic Stability Under Semi-Strong Interactions: The Weakly Damped Regime

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

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Stability of Spatially Periodic Pulse Patterns in A Class of Singularly Perturbed Reaction-diffusion Equations

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

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Large stable pulse solutions in reaction-diffusion equations

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Propagation of hexagonal patterns near onset

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

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

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Multistability of model and real dryland ecosystems through spatial self-organization

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Vegetation Patterning Can Both Impede and Trigger Critical Transitions from Savanna to Grassland

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

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Pulse dynamics in reaction–diffusion equations with strong spatially localized impurities

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Robust Stability of Multicomponent Membranes: The Role of Glycolipids

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Grazing Away the Resilience of Patterned Ecosystems

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

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Homoclinic Explosions and Implosions

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Slow localized patterns in singularly perturbed 2-component reaction-diffusion equations

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