Publications of Arjen Doelman
Submitted
Publications
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D. Nesenberend,
A. Doelman,
F. Veerman (2026),
Curvature induced patterns: A geometric, analytical approach to understanding a mechanochemical model, Physica D 496 135330 (24 pp).
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R. Jencks,
A. Doelman,
T.J. Kaper,
T. Vo (2026),
Stable and unstable spatially-periodic canards created in singular subcritical Turing bifurcations in the Brusselator system, J. Nonl. Sc. 36(3) 55 (66 pp).
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X. Sterl,
E. Weinans,
A. van der Kaaden,
A. Doelman,
M. Rietkerk (2026),
A review of dynamics in spatial savanna models, Ecological Modelling 517 111621 (15 pp).
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J. van der Voort,
R. Martinez-Garcia,
A. Doelman (2026),
Vegetation pattern formation induced by local growth outpacing susceptibility to non-local competition, Journal of Theoretical Biology 626 112441 (14 pp).
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S. Portegies Zwart,
A. Doelman,
J. Sein (2026),
The formation of periodic three-body orbits for Newtonian systems, Astronomy & Astrophysics 707 A215 (9pp).
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R. Bastiaansen,
A. Doelman,
T.J. Kaper (2026),
Multi-front dynamics in spatially inhomogeneous Allen-Cahn equations, Physica D 489 135139 (34 pp).
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S. Banerjee,
M. Baudena,
P. Carter,
R.Bastiaansen,
A. Doelman,
M. Rietkerk (2026),
Rethinking tipping points in spatial ecosystems, The American Naturalist 207(4) 135019 (20 pp).
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D. Staal,
A. Doelman (2026),
The evasion of tipping: pattern formation near a Turing-fold bifurcation, Physica D 486 135019 (36 pp).
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T. Vo,
A. Doelman,
T.J. Kaper (2025), Les Canards de Turing, SIAM J. Appl. Dyn. Syst. 24 2618-2684.
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P. Carter,
A. Doelman,
P. van Heijster,
D. Levy,
P. Maini,
E. Okey, P. Yueng (2025),
Deformations of acid-mediated invasive tumors in a model with Allee effect, J. Math. Biology 90(6) 55 (29 pp).
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J. van der Voort,
M. Baudena,
E. Meron,
M. Rietkerk,
A. Doelman (2025),
Vegetation Patterning Can Both Impede and Trigger Critical Transitions from Savanna to Grassland, Environmental Research Letters 20(9)
094052 (15pp).
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A. Blom,
C. Ylla Arbós,
M.K. Chowdhury,
A. Doelman,
M. Rietkerk,
R. Schielen (2024),
Indications of Ongoing Noise-Tipping of a Bifurcating River System, Geophysical Research Letters 51 e2024GL111846 (9 pp).
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P. Carter,
A. Doelman,
A. Iuorio,
F. Veerman (2024), Travelling pulses on three spatial scales in a Klausmeier-type vegetation-autotoxicity model, Nonlinearity 37 095008 (41 pp).
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E. Byrnes,
P. Carter,
A. Doelman, L. Liu
(2023), Large amplitude radially symmetric spots and gaps in a dryland ecosystem model, J. Nonl. Sc., 33(6) 107.
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P. Carter,
A. Doelman,
K. Lilly,
E. Obermayer,
S. Rao
(2023), Criteria for the (in)stability of planar interfaces in singularly perturbed 2-component reaction-diffusion equations, Physica D 444 133596.
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K. Siteur,
Q.-X.Liu,
V. Rottschäfer,
T. van der Heide,
M. Rietkerk,
A. Doelman,
C. Boström,
J. van de Koppel
(2023), Phase-separation physics underlies new theory for the resilience of patchy ecosystems,
Proc. Nat. Acad. Sc. U.S.A. 120(2) e2202683120.
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A. Doelman (2022), Slow localized patterns in singularly perturbed 2-component reaction-diffusion equations, Nonlinearity 35 3487–3559.
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M. Rietkerk,
R.Bastiaansen,
S. Banerjee,
J. van de Koppel,
M. Baudena,
A. Doelman (2021), Evasion of tipping in complex systems through spatial pattern formation, Science 374, eabj0359.
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Y. Chen,
A. Doelman,
K. Promislow,
F. Veerman (2020),
Robust stability of multicomponent membranes: the role of glycolipids, Arch. Rat. Mech. An. 238(3) 1521-1557.
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O. Jaïbi, A. Doelman,
M. Chirilus-Bruckner,
E. Meron (2020),
The existence of localized vegetation patterns in a systematically reduced model for dryland vegetation, Physica D 412 132637.
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R. Bastiaansen,
A. Doelman,
F. van Langevelde,
V. Rottschäfer (2020),
Modelling honey bee colonies in winter using a Keller-Segel model with a sign-changing chemotactic coefficient, SIAM J. Appl. Math. 80 (2) 839-863.
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R. Bastiaansen,
A. Doelman, M.B. Eppinga,
M. Rietkerk (2020),
The effect of climate change on the resilience of ecosystems with adaptive spatial pattern formation, Ecology Letters 23 414-429.
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R. Bastiaansen,
M. Chirilus-Bruckner, A. Doelman (2020), Pulse solutions for an extended Klausmeier model with spatially varying coefficients, SIAM J. Appl. Dyn. Syst. 19(1) 1-57.
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R. Bastiaansen,
P. Carter, A. Doelman (2019), Stable planar vegetation stripe patterns on sloped terrain in dryland ecosystems, Nonlinearity 32 (8) 2759-2814.
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E. Siero,
K. Siteur,
A. Doelman,
J. van de Koppel,
M. Rietkerk,
M.B. Eppinga (2019),
Grazing away the resilience of patterned ecosystems, The American Naturalist 193(3) 472-480.
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R. Bastiaansen, A. Doelman (2019), The dynamics of disappearing pulses in a singularly perturbed reaction-diffusion system with parameters that vary in time and space, Physica D 388 45–72.
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P. Carter, A. Doelman (2018), Traveling stripes in the Klausmeier model of vegetation pattern formation, SIAM J. Appl. Math. 78(6) 3213-3237.
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R. Bastiaansen,
O. Jaïbi,
V. Deblauwe,
M.B. Eppinga,
K. Siteur,
E. Siero,
S. Mermoz,
A. Bouvet,
A. Doelman,
M. Rietkerk (2018),
Multistability of model and real dryland ecosystems through spatial self-organization, Proc. Nat. Acad. Sc. U.S.A. 115(44) 11256-11261.
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A. Doelman,
J. Rademacher,
B. de Rijk,
F. Veerman (2018),
Destabilization mechanisms of periodic pulse patterns near a homoclinic limit, SIAM J. Appl. Dyn. Syst. 17(2) 1833–1890.
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A. Doelman,
P.J.A. van Heijster,
J. Shen (2018),
Pulse dynamics in reaction-diffusion equations with strong spatially localised impurities, Philos. Trans. Roy. Soc. A 376(2117) 20170183.
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H.T. van der Scheer, A. Doelman (2017), Synapse fits neuron: joint reduction by model inversion,
Biological Cybernetics 111(3) 309–334.
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L. Sewalt, A. Doelman (2017), Spatially periodic multi-pulse patterns in a generalized Klausmeier–Gray–Scott model, SIAM J. Appl. Dyn. Syst. 16(2) 1113–1163.
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K. Siteur,
M.B. Eppinga,
A. Doelman,
E. Siero,
M. Rietkerk
(2016), Ecosystems off track: rate-induced critical transitions in ecological models, Oikos
125 1689–1699.
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A. Doelman,
P.J.A. van Heijster,
F. Xie
(2016), A geometric approach to stationary defect solutions in one space dimension, SIAM J. Appl. Dyn. Syst. 15(2) 655-712.
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B. de Rijk,
A. Doelman,
J. Rademacher
(2016), Spectra and stability of spatially periodic pulse patterns:
Evans function factorization via Riccati transformation, SIAM J. Math. An. 48(1) 61–121.
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A. Doelman, F. Veerman (2015), An explicit theory for pulses in two component, singularly perturbed, reaction-diffusion equations, J. Dyn. Diff. Eq. 27(3-4) 555–595.
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E. Siero,
A. Doelman,
M.B. Eppinga,
J. Rademacher,
M. Rietkerk,
K. Siteur
(2015), Striped pattern selection by advective reaction-diffusion systems: resilience of banded
vegetation on slopes, Chaos 25(3) 036411.
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A. Doelman,
L. Sewalt,
A. Zagaris (2015),
The effect of slow spatial processes on emerging spatiotemporal patterns, Chaos 25(3) 036408.
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L. Sewalt,
A. Doelman,
H. Meijer,
V. Rottschäfer,
A. Zagaris (2015),
Tracking pattern evolution through extended center manifold reduction and singular perturbations,
Physica D 298 48-67.
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M. Chirilus-Bruckner,
A. Doelman,
P.J.A. van Heijster,
J. Rademacher (2015),
Butterfly catastrophe for fronts in a three-component reaction-diffusion system,
J. Nonl. Sc. 25 (1) 87–129.
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A. Doelman,
G. Hayrapetyan,
K. Promislow,
B. Wetton (2014),
Meander and pearling of single-curvature bilayer interfaces in the functionalized Cahn-Hilliard equation, SIAM J. Math. An. 46(6) 3640–3677.
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K. Siteur,
E. Siero,
M.B. Eppinga,
J. Rademacher,
A. Doelman,
M. Rietkerk (2014),
Beyond Turing: The response of patterned ecosystems to environmental change, Ecological Complexity
20 81–96.
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T. Bellsky, A. Doelman,
T.J. Kaper,
K. Promislow (2013), Adiabatic stability under semi-strong interactions:
the weakly damped regime, Indiana Univ. Math. J. 62 (6) 1809–1859.
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Q.-X.Liu,
A. Doelman,
V. Rottschäfer,
M. de Jager,
P. M. J. Herman,
M. Rietkerk,
J. van de Koppel (2013),
Phase separation explains a new class of self-organized spatial patterns in ecological systems,
Proc. Nat. Acad. Sc. U.S.A. 110(29) 11905-11910.
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F. Veerman,
A. Doelman (2013), Pulses in a Gierer-Meinhardt equation with a slow nonlinearity, SIAM J. Appl. Dyn. Syst. 12(1) 28-60.
- M. Holzer, A. Doelman,
T.J. Kaper (2013),
Existence and stability of traveling pulses in a
reaction-diffusion-mechanics system, J. Nonl. Sc. 23(1) 129-177.
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C.J.K. Knight,
G. Derks,
A. Doelman,
H. Susanto
(2013) Stability of stationary fronts in a non-linear wave equation with spatial inhomogeneity, J. Differential Equations 254(2) 408-468.
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S. van der Stelt,
A. Doelman,
G.M. Hek ,
J. Rademacher (2013), Rise and fall of periodic patterns for a generalized Klausmeier-Gray-Scott model,
J. Nonl. Sc. 23(1) 39-95.
- G. Derks,
A. Doelman,
C.J.K. Knight,
H. Susanto
(2012) Pinned fluxons in a Josephson junction with a finite-length inhomogeneity,
Eur. J. Appl. Math. 23 201–244.
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A. Doelman,
J. Rademacher,
S. van der Stelt (2012) Hopf dances near the tips of Busse balloons,
Discr. Cont. Dyn. Syst. (S) 5(1) 61-92.
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A. Zagaris, A. Doelman
(2011) Emergence of steady and oscillatory localized structures in a phytoplankton-nutrient model,
Nonlinearity 24 3437–3486.
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P.J.A. van Heijster,
A. Doelman,
T.J. Kaper,
Y. Nishiura,
K.-I. Ueda
(2011) Pinned fronts in heterogeneous media of jump type, Nonlinearity 24
127-157.
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P.J.A. van Heijster, A. Doelman,
T.J. Kaper,
K. Promislow (2010)
Front interactions in a three-component system,
SIAM J. Appl. Dyn. Syst. 9 (2) 292-332.
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A. Doelman,
B. Sandstede ,
A. Scheel ,
G. Schneider (2009) The dynamics of modulated wave trains,
Memoirs of the AMS 199 (934).
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A. Zagaris ,
A. Doelman, N. N. Pham Thi,
B. Sommeijer (2009)
Blooming in a non-local, coupled phytoplankton-nutrient model, SIAM J. Appl. Math.,
69 (4) 1174-1204.
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A. Doelman,
P.J.A. van Heijster ,
T.J. Kaper (2009)
Pulse dynamics in a three-component system: existence analysis, J. Dyn. Diff. Eq.,
21 (1) 73-115.
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P.J.A. van Heijster , A. Doelman,
T.J. Kaper (2008)
Pulse dynamics in a three-component system: stability and bifurcations, Physica D,
237 (24) 3335-3368.
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A. Doelman,
T.J. Kaper ,
K. Promislow (2007)
Nonlinear asymptotic stability of the semi-strong pulse dynamics in a
regularized Gierer-Meinhardt model, SIAM J. Math. An.,
38 (6) 1760-1787.
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G. Derks ,
A. Doelman,
S.A. van Gils ,
H. Susanto (2007)
Stability analysis of $\pi$-kinks in a $0-\pi$ Josephson junction,
SIAM J. Appl. Dyn. Syst., 6 (1) 99 - 141.
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A. Doelman,
G.M. Hek ,
N.J.M. Valkhoff (2007)
Algebraically decaying pulses in a Ginzburg-Landau system with a neutrally stable mode,
Nonlinearity , 20 357 - 389.
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A. Doelman,
T.J. Kaper ,
L.A. Peletier (2006)
Homoclinic bifurcations at the onset
of pulse self-replication, J. Differential Equations
231 359 - 423.
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M.A. Beck ,
A. Doelman,
T.J. Kaper (2006)
A geometric construction of traveling waves in a bioremediation
model, J. Nonl. Sc. 16 (4) 329 - 349.
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H.
van der Ploeg , A. Doelman (2005)
Stability of spatially periodic pulse patterns in a class of singularly
perturbed reaction-diffusion equations, Indiana Univ. Math. J.
54 (5) 1219 - 1301.
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G. M. Terra , A. Doelman,
L.R.M. Maas
(2004) Weakly nonlinear cubic interactions in coastal resonance,
J. Fluid Mech. 520 93 - 134.
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H. Susanto ,
S.A. van Gils , A. Doelman,
G. Derks (2004)
Analysis of the stability of Josephson vortices at tricrystal boundaries:
a 3 phi_0/2 case, Phys. Rev. B 69 212503.
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A. Doelman,
G.M. Hek ,
N.J.M. Valkhoff (2004)
Stabilization by slow diffusion in a real Ginzburg-Landau system,
J. Nonl. Sc. 14 237 - 278.
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A. Doelman,
D. Iron ,
Y. Nishiura (2004)
Destabilization of fronts in a class of bi-stable systems,
SIAM J. Math. An. 35 (6) 1420 - 1450.
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G. Derks , A. Doelman,
S.A. van Gils , T.P.P. Visser (2003)
Travelling waves in a singularly perturbed sine-Gordon
equation, Physica D 180 (1-2) 40 - 70.
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A. Doelman,
T.J. Kaper (2003)
Semi-strong pulse interactions
in a class of coupled reaction-diffusion equations,
SIAM J. Appl. Dyn. Syst. 2 (1) 53 - 96.
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A. Doelman,
B. Sandstede ,
A. Scheel ,
G. Schneider (2003)
Propagation of hexagonal patterns near onset,
Eur. J. Appl. Math. 14 85 - 110.
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A. Doelman, H.
van der Ploeg (2002) Homoclinic stripe patterns,
SIAM J. Appl. Dyn. Syst. 1 (1) 65 - 104.
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A. Doelman, A.F. Koenderink,
L.R.M. Maas
(2002) Quasi-periodically forced nonlinear Helmholtz oscillators,
Physica D 164 (1-2) 1 - 27.
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L.R.M. Maas ,
A. Doelman (2002) Chaotic tides,
J. Phys. Oceanogr. 32 (3) 870 - 890.
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A. Doelman,
R. A. Gardner ,
T.J. Kaper (2002) A stability index analysis of
1-D patterns of the Gray-Scott model,
Memoirs of the AMS 155 (737).
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A. Doelman,
T.J. Kaper ,
H.
van der Ploeg (2001)
Spatially periodic and aperiodic multi-pulse patterns in the one-dimensional
Gierer-Meinhardt equation,
Meth. Appl. Anal. 8 (2) 387 - 414.
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A. Doelman,
R. A. Gardner ,
T.J. Kaper (2001)
Large stable pulse solutions in reaction-diffusion
equations,
Indiana Univ. Math. J. 50 (1) 443 - 507.
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A. Doelman, W. Eckhaus,
T.J. Kaper (2001) Slowly-modulated two-pulse solutions
in the Gray-Scott model II:
geometric theory, bifurcations and splitting dynamics,
SIAM J. Appl. Math. , 61 (6) 2036 - 2062.
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A. Doelman, W. Eckhaus,
T.J. Kaper (2000) Slowly-modulated two-pulse solutions
in the Gray-Scott model I: asymptotic
construction and stability,
SIAM J. Appl. Math. 61 (3) 1080 - 1102.
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D.S. Morgan ,
A. Doelman,
T.J. Kaper (2000) Stationary periodic patterns in the 1D Gray-Scott
model, Meth. Appl. Anal. 7 (1) 105-150.
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A. Doelman,
G.M. Hek (2000) Homoclinic saddle-node bifurcations in singularly
perturbed systems, J. Dyn. Diff. Eq.
12 (1) 169-216.
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G.M. Hek , A. Doelman,
P. Holmes (1998)
Homoclinic saddle-node bifurcations
and subshifts in a three-dimensional flow,
Arch. Rat. Mech. An. 145 291-329.
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R. Schielen,
A. Doelman (1998) Modulation equations for spatially periodic
systems: derivation and solutions,
SIAM J. Appl. Math. 58 (6) 1901-1930.
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A. Doelman,
R. A. Gardner ,
T.J. Kaper (1998)
Stability analysis of singular
patterns in the 1-D Gray-Scott model: A matched asymptotics approach,
Physica D 122 1-36.
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V. Rottschäfer ,
A. Doelman (1998) On the transition of the Ginzburg-Landau
equation to the extended Fisher-Kolmogorov equation,
Physica D 118 261-292.
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A. Doelman,
V. Rottschäfer (1997) Singularly perturbed and non-local
modulation
equations for systems with interacting instability mechanisms,
J. Nonl. Sc. 7 371-409.
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A. Doelman,
T.J. Kaper ,
P.A. Zegeling (1997)
Pattern formation in the 1-D
Gray-Scott model, Nonlinearity 10 523-563.
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A. Doelman (1996) Breaking the hidden symmetry in the Ginzburg-Landau equation
Physica D 97 398-428.
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P. Takac ,
P. Bollerman, A. Doelman,
A. van Harten ,
E.S. Titi (1996)
Analyticity of essentially bounded solutions to semilinear parabolic
systems and validity of the Ginzburg-Landau equation,
SIAM J. Math. An. 27 (2) 424 - 448.
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A. Doelman,
P. Holmes (1996) Errata: Homoclinic explosions and implosions,
Phil. Trans. Roy. Soc. Lond. A 354 1837-1839.
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A. Doelman,
P. Holmes (1996) Homoclinic explosions and implosions,
Phil. Trans. Roy. Soc. Lond. A 354 845-893.
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A. Doelman,
R. A. Gardner ,
C.K.R.T. Jones (1995),
Instability of quasiperiodic solutions of the Ginzburg-Landau equation Proc. Roy. Soc. Edinb.
125A 501-517.
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A. Doelman, F. Verhulst (1994) Bifurcations of strongly nonlinear
self-exited oscillations Math. Meth. Appl. Sc. 17 189-207.
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A. Doelman,
E.S. Titi
(1993) Regularity of solutions and the convergence of
the Galerkin method in the Ginzburg-Landau equation Numer. Funct.
Anal. and Opt. 14 299-321.
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R. Schielen,
A. Doelman,
H.E. de Swart (1993)
On the nonlinear dynamics of
free bars in straight channels J. Fluid Mech. 252
325-356.
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A. Doelman (1993) Traveling waves in the complex Ginzburg-Landau equation
J. Nonl. Sc. 3 225-266.
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A. Doelman, W. Eckhaus (1991) Periodic and quasi-periodic solutions of
degenerate modulation equations, Physica D 53 249-266.
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A. Doelman (1991) Finite dimensional models of the Ginzburg-Landau equation,
Nonlinearity 4 231-250.
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A. Doelman (1989) Slow time-periodic solutions of the Ginzburg-Landau equation,
Physica D 40 156-172.
Books
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A. Doelman, A. van Harten (eds.) (1995) Nonlinear Dynamics
and Pattern Formation in the Natural Environment , Longman, UK;
Pitman Research Notes in Mathematics 335 .
Contributions to Books
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A. Doelman (2019), Pattern formation in reaction-diffusion systems - an explicit approach, pp. 129-182 in
Complexity Science (M. Peletier, R. van Santen, E. Steur (eds.)), World Scientific, pdf file.
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A. Doelman, P. Holmes (1995) On the creation of multi-pulse
traveling waves by global bifurcations, pp. 201-208 in
Structure and Dynamics of Nonlinear Waves in Fluids
(A. Mielke & K. Kirchgässner eds.), World Scientific, Singapore etc.
Advanced Series in Nonlinear Dynamics 7.
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A. Doelman, W. Eckhaus, R. Kuske, R. Schielen (1995)
Pattern formation in systems
on spatially periodic domains pp. 85-105 in Nonlinear Dynamics
and Pattern Formation in the Natural Environment
(A. Doelman, A. van Harten (eds.)), Longman, UK;
Pitman Research Notes in Mathematics 335 .
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A. Doelman, E.S. Titi (1993) Exponential convergence of the Galerkin
approximation for the Ginzburg-Landau equation pp 241-252 in
Asymptotic and Numerical Methods for Partial Differential
Equations with Critical Parameters, (H.G. Kaper, M. Garbey eds.),
Kluwer Academic Publishers, Dordrecht.
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A. Doelman, J. Grasman (1988) Low order spectral methods in hydrodynamics,
pp 86-97 in Trends in Applications of Mathematics to Mechanics ,
(J.F. Besseling, W. Eckhaus eds.), Springer-Verlag, Berlin etc.
Contributions to Conference Proceedings
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J. Hazewinkel , P. van Breevoort, A. Doelman,
L.R.M. Maas ,
S.B. Dalziel
(2007) Equilibrium spectrum for internal wave attractors in a trapezoidal basin, in
Proceedings of the 5th International Symposium on Environmental Hydraulics (D. Boyer & O. Alexandrova eds.), Arizona State University/United States Army Research Office.
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G.M. Hek, N. Valkhoff, A. Doelman (2005) Stabilization of pulses
by competing instability mechanisms, pp 2353-2361
in Proceedings ENOC-2005, Eindhoven, Netherlands.
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A. Doelman, D. Iron, Y. Nishiura (2005) Edge bifurcations in
singularly perturbed reaction-diffusion equations: a case study,
pp 783-788 in
EQUADIFF03 International Conference on Differential Equations,
(F. Dumortier, H. Broer, J. Mahwin, A. Vanderbauwhede, S. Verduyn Lunel
eds.), World Scientific, Singapore etc.
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A. Doelman (2002) Stabilization of pulses by diffusion,
contribution to the Biennial Report 2000-2001 of the Stieltjes
Institute for Mathematics,
postscript file.
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P. Holmes, A. Doelman, G.M. Hek, G. Domokos (2001)
Homoclinic orbits and chaos in three- and four-dimensional flows,
paper for Royal Society Discussion Meeting on Topological
Methods in the Physical Sciences , London, Nov 15-16, 2000,
Phil. Trans. Roy. Soc. Lond. A 359 1429-1438.
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A. Doelman, W. Eckhaus, T.J. Kaper (2000)
A note on two pulse solutions in the $1$-D Gray-Scott model,
pp 775-780 in
EQUADIFF99, International Conference on Differential Equations
2 Vol., (B. Fiedler, K. Gröger, J. Sprekels eds.), World Scientific,
Singapore etc.
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A. Doelman, R.A. Gardner, T.J. Kaper (2000)
The stability of large pulse solutions in the generalized
Gierer-Meinhardt equation,
pp 781-786 in
EQUADIFF99, International Conference on Differential Equations
2 Vol., (B. Fiedler, K. Gröger, J. Sprekels eds.), World Scientific,
Singapore etc.
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A. Doelman, V. Rottschafer (1998) Multi-bump patterns near a co-dimension 2
point, Proc. Asymptotics in Nonlinear Diffusive Systems,
Sendai, Japan, Tohoku Math. Pub., 8 43-54.
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A. Doelman (1993) Travelling, non-periodic patterns in nonlinear
stability problems Proc. Fourth European Turbulence Conference, Delft,
the Netherlands 1992 (F.T.M. Nieuwstadt ed.), Appl. Sc. Res.
51 37-42.
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A. Doelman, W. Eckhaus (1991) Quasi-periodic and homoclinic solutions of
modulation equations, Proc. IUTAM-Symp. on Nonlinear Hydrodynamic
Stability and Transition, Sophia-Antipolis France 1990 (G. Iooss ed.),
Europ. J. Mech. B/Fluids 10 131-136.
Publications in Dutch
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A. Doelman, Dynamische systemen, patroonvorming en het ontstaan van woestijnen, Natuurkundige Voordrachten 2019-2020, Nieuwe Reeks 98 51-60 (2020).
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A. Doelman, M. Eppinga, G. M. Hek, J. Rademacher, M. Rietkerk, E. Siero, K. Siteur (2013) Klimaatsverandering, verwoestijng en biljart, Eureka! (Leiden) 10(41) 21-24, and Nieuw Archief van de Wiskunde 5/14(3) 200-204.
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A. Doelman, V. Rottschäfer, L. Sewalt, H. E. de Swart, A. Zagaris, J. Zijlstra (2013) De complexe dynamica van fytoplankton, Nieuw Archief van de Wiskunde 5/14(3) 190-194.
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A. Doelman (2007) De dynamica van patronen: wiskunde en woestijnen,
Vakantiecursus 2007 Wiskunde in Beweging, CWI syllabus
57 27-45.
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A. Doelman (2003) Het begrip dimensie: theorie en experiment,
Vakantiecursus 2001 Experimentele wiskunde, CWI syllabus
49 17-38, and
Nieuw Archief van de Wiskunde 5/4 (2) 151-160.
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A. Doelman, H. Duistermaat, J. Grasman, A. van Harten (2001)
In Memorian Wiktor Eckhaus, Nieuw Archief
van de Wiskunde 5/2 (2) 18-20 (2001), and ITW Nieuws
11 (1) 10-13.
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A. Doelman (2000), Patronen en Golven , rede uitgesproken bij
de aanvaarding van het ambt van hoogleraar in de Wiskunde, 27 oktober
1999, oratiereeks Vossiuspers AUP; also as Nieuw Archief
van de Wiskunde 5/1 (1) 18-27.
-
A. Doelman (1999) Toegepaste Analyse en Dynamische Systemen
Nieuwsbrief KdV Inst. April 9-13.
-
A. Doelman (1996) Patroonvorming in reactie-diffusie systemen
De Vakidioot 2 2-6.
Thesis
-
A. Doelman (1990) On the Nonlinear Evolution of Patterns - Modulation
Equations and Their Solutions, Rijksuniversiteit Utrecht.