Arjen Doelman

Cited by

	All	Since 2017
Citations	4067	1498
h-index	34	21
i10-index	74	45

380

190

285

19931994199519961997199819992000200120022003200420052006200720082009201020112012201320142015201620172018201920202021202223 21 49 25 29 50 49 105 125 73 109 97 112 100 168 67 88 89 90 157 210 147 252 260 177 217 294 301 361 148

Public access

View all

16 articles

1 article

available

not available

Based on funding mandates

Co-authors

Max RietkerkProfessor Spatial ecology and Global Change, Utrecht University, The NetherlandsVerified email at uu.nl
Jens RademacherUniversität BremenVerified email at earthling.net
Maarten B. EppingaSenior scientist, Earth System Science, University of ZurichVerified email at geo.uzh.ch
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 BastiaansenIMAU, Utrecht UniversityVerified email at uu.nl
Keith PromislowProfessor of Mathematics and Chair, Michigan State UniversityVerified email at math.msu.edu
Ralph SchielenUniversiteit van TwenteVerified email at utwente.nl
Gianne DerksUniversity of SurreyVerified email at surrey.ac.uk
Bjorn SandstedeProfessor of Applied Mathematics, Brown UniversityVerified email at brown.edu
Arnd ScheelUniversity of MinnesotaVerified email at umn.edu
Antonios ZagarisASMLVerified email at asml.com
L.R.M. MaasUtrecht UniversityVerified email at uu.nl
Huib E. de SwartIMAU, Utrecht UniversityVerified email at uu.nl
Hadi SusantoProfessor, Mathematics, Khalifa University, University of Essex, Institut Teknologi BandungVerified email at ku.ac.ae
Johan van de KoppelSenior researcher at the Royal Netherlands Institute for Sea ResearchVerified email at nioz.nl
Paul ZegelingDepartment of Mathematics, Utrecht UniversityVerified email at uu.nl
Frits VeermanUniversity of HeidelbergVerified email at math.uni-heidelberg.de
S.A. van Gilshoogleraar wiskunde, Universiteit TwenteVerified email at utwente.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	287	1997
Large stable pulse solutions in reaction-diffusion equations A Doelman, RA Gardner, TJ Kaper Indiana University Mathematics Journal 50 (1), 443 - 507, 2001	226	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	220	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	171	2013
The dynamics of modulated wave trains A Doelman, B Sandstede, A Scheel, G Schneider Memoirs of the AMS 199 (934), 2009	153	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	153	1993
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	129	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	118	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 (1), 39-95, 2013	108	2013
Homoclinic stripe patterns A Doelman, H van der Ploeg SIAM Journal on Applied Dynamical Systems 1 (1), 65-104, 2002	91	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	85	2015
Periodic and quasi-periodic solutions of degenerate modulation equations A Doelman, W Eckhaus Physica D: Nonlinear Phenomena 53 (2-4), 249-266, 1991	84	1991
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	81	2003
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	81	2001
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	79	1993
Pulse dynamics in a three-component system: existence analysis A Doelman, P Van Heijster, TJ Kaper Journal of Dynamics and Differential Equations 21 (1), 73-115, 2009	73	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	68	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	65	2003
Nonlinear asymptotic stability of the semistrong pulse dynamics in a regularized Gierer–Meinhardt model A Doelman, TJ Kaper, K Promislow SIAM Journal on Mathematical Analysis 38 (6), 1760-1787, 2007	62	2007
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	62	2001

The system can't perform the operation now. Try again later.

Articles 1–20

Citations per year

Duplicate citations

Merged citations

Add co-authorsCo-authors

Follow this author

Cited by

Co-authors