Arjen Doelman

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Tasso Joost KaperDepartment of Mathematics and Statistics, Boston UniversityVerified email at math.bu.edu
Max RietkerkProfessor Spatial ecology and Global Change, Utrecht University, The NetherlandsVerified email at uu.nl
Jens RademacherUniversität HamburgVerified email at earthling.net
Maarten B. EppingaSenior scientist, Earth System Science, University of ZurichVerified email at geo.uzh.ch
Robbin BastiaansenMathematical Institute & Institute for Marine and Atmospheric research Utrecht, Utrecht UniversityVerified email at uu.nl
Koen SiteurNational Institute for Public Health and the Environment | RIVMVerified email at rivm.nl
Eric SieroWageningen University & ResearchVerified email at wur.nl
Peter van HeijsterWageningen University & ResearchVerified email at wur.nl
Geertje Hekformer UU, UvAVerified email at iil.ch
Johan van de KoppelSenior researcher at the Royal Netherlands Institute for Sea ResearchVerified email at nioz.nl
Ralph SchielenSenior Researcher, Delft University of TechnologyVerified email at tudelft.nl
Keith PromislowProfessor of Mathematics and Chair, Michigan State UniversityVerified email at math.msu.edu
Gianne DerksLeiden UniversityVerified email at math.leidenuniv.nl
Paul CarterUniversity of California, IrvineVerified email at uci.edu
L.R.M. MaasUtrecht UniversityVerified email at uu.nl
Huib E. de SwartIMAU, Utrecht UniversityVerified email at uu.nl
Hadi SusantoProfessor, Mathematics, Khalifa UniversityVerified email at ku.ac.ae
Frits VeermanUniversity of LeidenVerified email at math.leidenuniv.nl
Antonios ZagarisASMLVerified email at asml.com
Paul ZegelingDepartment of Mathematics, Utrecht UniversityVerified email at uu.nl

Arjen Doelman

Leiden University, Mathematisch Instituut

Verified email at math.leidenuniv.nl - Homepage

Applied Analysis Dynamical Systems Pattern Formation


Title Sort by citations Sort by year Sort by title	Cited by Cited by	Year
Pattern formation in the one-dimensional Gray-Scott model A Doelman, TJ Kaper, PA Zegeling Nonlinearity 10 (2), 523-563, 1997	319	1997
Stability analysis of singular patterns in the 1D Gray-Scott model: a matched asymptotics approach A Doelman, RA Gardner, TJ Kaper Physica D: Nonlinear Phenomena 122 (1-4), 1-36, 1998	241	1998
Phase separation explains a new class of self-organized spatial patterns in ecological systems QX Liu, A Doelman, V Rottschäfer, M de Jager, PMJ Herman, M Rietkerk, ... Proceedings of the National Academy of Sciences 110 (29), 11905-11910, 2013	240	2013
Large stable pulse solutions in reaction-diffusion equations A Doelman, RA Gardner, TJ Kaper Indiana University Mathematics Journal 50 (1), 443 - 507, 2001	236	2001
Evasion of tipping in complex systems through spatial pattern formation M Rietkerk, R Bastiaansen, S Banerjee, J van de Koppel, M Baudena, ... Science 374 (6564), eabj0359, 2021	201	2021
Beyond Turing: The response of patterned ecosystems to environmental change K Siteur, E Siero, MB Eppinga, JDM Rademacher, A Doelman, M Rietkerk Ecological Complexity 20, 81-96, 2014	174	2014
The dynamics of modulated wave trains A Doelman, B Sandstede, A Scheel, G Schneider Memoirs of the AMS 199 (934), 2009	174	2009
On the nonlinear dynamics of free bars in straight channels R Schielen, A Doelman, HE De Swart Journal of Fluid Mechanics 252, 325-356, 1993	170	1993
Rise and fall of periodic patterns for a generalized Klausmeier–Gray–Scott model S van der Stelt, A Doelman, G Hek, JDM Rademacher Journal of nonlinear science 23, 39-95, 2013	150	2013
A stability index analysis of 1-D patterns of the Gray-Scott model A Doelman, RA Gardner, TJ Kaper Memoirs of the AMS 155 (737), 2002	140	2002
Striped pattern selection by advective reaction-diffusion systems: Resilience of banded vegetation on slopes E Siero, A Doelman, MB Eppinga, JDM Rademacher, M Rietkerk, K Siteur Chaos: An Interdisciplinary Journal of Nonlinear Science 25 (3), 2015	103	2015
Multistability of model and real dryland ecosystems through spatial self-organization R Bastiaansen, O Jaïbi, V Deblauwe, MB Eppinga, K Siteur, E Siero, ... Proceedings of the National Academy of Sciences 115 (44), 11256-11261, 2018	95	2018
Homoclinic stripe patterns A Doelman, H van der Ploeg SIAM Journal on Applied Dynamical Systems 1 (1), 65-104, 2002	93	2002
Semistrong pulse interactions in a class of coupled reaction-diffusion equations A Doelman, TJ Kaper SIAM Journal on Applied Dynamical Systems 2 (1), 53-96, 2003	92	2003
Periodic and quasi-periodic solutions of degenerate modulation equations A Doelman, W Eckhaus Physica D: Nonlinear Phenomena 53 (2-4), 249-266, 1991	87	1991
Pulse dynamics in a three-component system: existence analysis A Doelman, P Van Heijster, TJ Kaper Journal of Dynamics and Differential Equations 21, 73-115, 2009	85	2009
Regularity of solutions and the convergence of the Galerkin method in the Ginzburg-Landau equation A Doelman, E S. Titi Numerical Functional Analysis and Optimization 14 (3-4), 299-321, 1993	84	1993
The effect of climate change on the resilience of ecosystems with adaptive spatial pattern formation R Bastiaansen, A Doelman, MB Eppinga, M Rietkerk Ecology letters 23 (3), 414-429, 2020	83	2020
Ecosystems off track: rate‐induced critical transitions in ecological models K Siteur, MB Eppinga, A Doelman, E Siero, M Rietkerk Oikos 125 (12), 1689-1699, 2016	79	2016
Propagation of hexagonal patterns near onset A Doelman, B Sandstede, A Scheel, G Schneider European Journal of Applied Mathematics 14 (01), 85-110, 2003	78	2003

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