Arjen Doelman

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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
Koen SiteurVerified email at rivm.nl
Eric SieroWageningen University & ResearchVerified email at wur.nl
Geertje Hekformer UU, UvAVerified email at iil.ch
Peter van HeijsterWageningen University & ResearchVerified email at wur.nl
Robbin BastiaansenMathematical Institute, Utrecht UniversityVerified email at uu.nl
Ralph SchielenUniversiteit van TwenteVerified email at utwente.nl
Keith PromislowProfessor of Mathematics and Chair, Michigan State UniversityVerified email at math.msu.edu
Gianne DerksUniversity of SurreyVerified email at surrey.ac.uk
Johan van de KoppelSenior researcher at the Royal Netherlands Institute for Sea ResearchVerified email at nioz.nl
Huib E. de SwartIMAU, Utrecht UniversityVerified email at uu.nl
L.R.M. MaasUtrecht UniversityVerified email at uu.nl
Antonios ZagarisASMLVerified email at asml.com
Hadi SusantoProfessor, Mathematics, Khalifa University, University of Essex, Institut Teknologi BandungVerified email at ku.ac.ae
Paul ZegelingDepartment of Mathematics, Utrecht UniversityVerified email at uu.nl
Frits VeermanUniversity of HeidelbergVerified email at math.uni-heidelberg.de
Philip HolmesProfessor of Applied & Computational Mathematics, Princeton UniversityVerified email at math.princeton.edu
Quan-Xing LiuProfessor of Applied MathematicsVerified email at sjtu.edu.cn

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	290	1997
Large stable pulse solutions in reaction-diffusion equations A Doelman, RA Gardner, TJ Kaper Indiana University Mathematics Journal 50 (1), 443 - 507, 2001	224	2001
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	221	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	188	2013
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	160	1993
The dynamics of modulated wave trains A Doelman, B Sandstede, A Scheel, G Schneider Memoirs of the AMS 199 (934), 2009	158	2009
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	133	2002
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	125	2014
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	120	2013
Homoclinic stripe patterns A Doelman, H van der Ploeg SIAM Journal on Applied Dynamical Systems 1 (1), 65-104, 2002	90	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), 036411, 2015	89	2015
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	85	2003
Periodic and quasi-periodic solutions of degenerate modulation equations A Doelman, W Eckhaus Physica D: Nonlinear Phenomena 53 (2-4), 249-266, 1991	85	1991
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	80	1993
Spatially periodic and aperiodic multi-pulse patterns in the one-dimensional Gierer–Meinhardt equation A Doelman, TJ Kaper, H van der Ploeg Methods and applications of analysis 8 (3), 387-414, 2001	79	2001
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	76	2009
Slowly Modulated Two-Pulse Solutions in the Gray--Scott Model I: Asymptotic Construction and Stability A Doelman, W Eckhaus, TJ Kaper SIAM Journal on Applied Mathematics 61 (3), 1080-1102, 2000	70	2000
Propagation of hexagonal patterns near onset A Doelman, B Sandstede, A Scheel, G Schneider European Journal of Applied Mathematics 14 (01), 85-110, 2003	67	2003
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	65	2021
Slowly modulated two-pulse solutions in the Gray--Scott model II: Geometric theory, bifurcations, and splitting dynamics A Doelman, W Eckhaus, TJ Kaper SIAM Journal on Applied Mathematics 61 (6), 2036-2062, 2001	65	2001

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