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Doelman, Arjen

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Author ID: doelman.arjen Recent zbMATH articles by "Doelman, Arjen"
Published as: Doelman, Arjen; Doelman, A.
Documents Indexed: 85 Publications since 1988, including 3 Books

Publications by Year

Citations contained in zbMATH Open

70 Publications have been cited 1,034 times in 498 Documents Cited by Year
Pattern formation in the one-dimensional Gray-Scott model. Zbl 0905.35044
Doelman, Arjen; Kaper, Tasso J.; Zegeling, Paul A.
81
1997
Large stable pulse solutions in reaction-diffusion equations. Zbl 0994.35058
Doelman, Arjen; Gardner, Robert A.; Kaper, Tasso J.
81
2001
Stability analysis of singular patterns in the 1D Gray-Scott model: a matched asymptotics approach. Zbl 0943.34039
Doelman, Arjen; Gardner, Robert A.; Kaper, Tasso J.
65
1998
The dynamics of modulated wave trains. Zbl 1179.35005
Doelman, Arjen; Sandstede, Björn; Scheel, Arnd; Schneider, Guido
50
2009
A stability index analysis of 1-D patterns of the Gray-Scott model. Zbl 0994.35059
Doelman, Arjen; Gardner, Robert A.; Kaper, Tasso J.
38
2002
Propagation of hexagonal patterns near onset. Zbl 1044.37049
Doelman, Arjen; Sandstede, Björn; Scheel, Arnd; Schneider, Guido
33
2003
Rise and fall of periodic patterns for a generalized Klausmeier-Gray-Scott model. Zbl 1270.35093
van der Stelt, Sjors; Doelman, Arjen; Hek, Geertje; Rademacher, Jens D. M.
32
2013
Periodic and quasi-periodic solutions of degenerate modulation equations. Zbl 0744.35058
Doelman, Arjen; Eckhaus, Wiktor
29
1991
Homoclinic stripe patterns. Zbl 1004.35063
Doelman, Arjen; van der Ploeg, Harmen
28
2002
Semistrong pulse interactions in a class of coupled reaction-diffusion equations. Zbl 1088.35517
Doelman, Arjen; Kaper, Tasso J.
28
2003
Striped pattern selection by advective reaction-diffusion systems: resilience of banded vegetation on slopes. Zbl 1374.92167
Siero, E.; Doelman, A.; Eppinga, M. B.; Rademacher, J. D. M.; Rietkerk, M.; Siteur, K.
26
2015
Slowly modulated two-pulse solutions in the Gray-Scott model. I: Asymptotic construction and stability. Zbl 0979.35074
Doelman, Arjen; Eckhaus, Wiktor; Kaper, Tasso J.
25
2000
Nonlinear asymptotic stability of the semistrong pulse dynamics in a regularized Gierer-Meinhardt model. Zbl 1131.35084
Doelman, Arjen; Kaper, Tasso J.; Promislow, Keith
24
2007
Regularity of solutions and the convergence of the Galerkin method in the Ginzburg-Landau equation. Zbl 0792.35096
Doelman, Arjen; Titi, Edriss S.
24
1993
Front interactions in a three-component system. Zbl 1197.35047
van Heijster, P.; Doelman, A.; Kaper, T. J.; Promislow, K.
23
2010
Pulse dynamics in a three-component system: Existence analysis. Zbl 1173.35068
Doelman, Arjen; van Heijster, Peter; Kaper, Tasso J.
23
2009
Slowly modulated two-pulse solutions in the Gray–Scott model. II: Geometric theory, bifurcations, and splitting dynamics. Zbl 0989.35073
Doelman, Arjen; Eckhaus, Wiktor; Kaper, Tasso J.
22
2001
Pulse dynamics in a three-component system: Stability and bifurcations. Zbl 1153.37437
van Heijster, Peter; Doelman, Arjen; Kaper, Tasso J.
20
2008
Spatially periodic and aperiodic multi-pulse patterns in the one-dimensional Gierer-Meinhardt equation. Zbl 1006.92008
Doelman, Arjen; Kaper, Tasso J.; van der Ploeg, Harmen
20
2001
Traveling waves in the complex Ginzburg-Landau equation. Zbl 0805.35050
Doelman, A.
20
1993
Slow time-periodic solutions of the Ginzburg-Landau equation. Zbl 0702.35206
Doelman, Arjen
19
1989
Pinned fronts in heterogeneous media of jump type. Zbl 1208.35010
van Heijster, Peter; Doelman, Arjen; Kaper, Tasso J.; Nishiura, Yasumasa; Ueda, Kei-Ichi
17
2011
Analyticity of essentially bounded solutions to semilinear parabolic systems and validity of the Ginzburg-Landau equation. Zbl 0849.35014
Takáč, P.; Bollerman, P.; Doelman, A.; van Harten, A.; Titi, E. S.
17
1996
Meander and pearling of single-curvature bilayer interfaces in the functionalized Cahn-Hilliard equation. Zbl 1316.35026
Doelman, Arjen; Hayrapetyan, Gurgen; Promislow, Keith; Wetton, Brian
16
2014
Spatially periodic multipulse patterns in a generalized Klausmeier-Gray-Scott model. Zbl 1369.34067
Sewalt, Lotte; Doelman, Arjen
15
2017
An explicit theory for pulses in two component, singularly perturbed, reaction-diffusion equations. Zbl 1339.35021
Doelman, Arjen; Veerman, Frits
15
2015
Pulses in a Gierer-Meinhardt equation with a slow nonlinearity. Zbl 1282.35049
Veerman, Frits; Doelman, Arjen
13
2013
Hopf dances near the tips of Busse balloons. Zbl 1252.35032
Doelman, Arjen; Rademacher, Jens D. M.; van der Stelt, Sjors
12
2012
Finite-dimensional models of the Ginzburg-Landau equation. Zbl 0841.35007
Doelman, Arjen
12
1991
Climate change, desertification and billiards. Zbl 1301.86005
Doelman, Arjen; Rademacher, Jens; Siero, Eric; Eppinga, Maarten; Rietkerk, Max; Siteur, Koen; Hek, Geertje
11
2013
Breaking the hidden symmetry in the Ginzburg-Landau equation. Zbl 1194.35406
Doelman, Arjen
11
1996
Adiabatic stability under semi-strong interactions: the weakly damped regime. Zbl 1302.35029
Bellsky, Thomas; Doelman, Arjen; Kaper, Tasso J.; Promislow, Keith
10
2013
Stability of stationary fronts in a non-linear wave equation with spatial inhomogeneity. Zbl 1259.35029
Knight, Christopher J. K.; Derks, Gianne; Doelman, Arjen; Susanto, Hadi
9
2013
Spectra and stability of spatially periodic pulse patterns: Evans function factorization via Riccati transformation. Zbl 1336.35042
de Rijk, Björn; Doelman, Arjen; Rademacher, Jens
9
2016
Homoclinic explosions and implosions. Zbl 0881.58044
Doelman, Arjen; Holmes, Philip
9
1996
Pinned fluxons in a Josephson junction with a finite-length inhomogeneity. Zbl 1245.82086
Derks, Gianne; Doelman, Arjen; Knight, Christopher J. K.; Susanto, Hadi
9
2012
Blooming in a nonlocal, coupled phytoplankton-nutrient model. Zbl 1178.35041
Zagaris, A.; Doelman, A.; Thi, N. N. Pham; Sommeijer, B. P.
8
2009
Butterfly catastrophe for fronts in a three-component reaction-diffusion system. Zbl 1325.35088
Chirilus-Bruckner, Martina; Doelman, Arjen; van Heijster, Peter; Rademacher, Jens D. M.
8
2015
Singularly perturbed and nonlocal modulation equations for systems with interacting instability mechanisms. Zbl 0885.58075
Doelman, A.; Rottschäfer, V.
7
1997
Instability of quasiperiodic solutions of the Ginzburg-Landau equation. Zbl 0840.35104
Doelman, A.; Gardner, R. A.; Jones, C. K. R. T.
7
1995
Stationary periodic patterns in the 1D Gray-Scott model. Zbl 0996.92041
Morgan, David S.; Doelman, Arjen; Kaper, Tasso J.
7
2000
A geometric approach to stationary defect solutions in one space dimension. Zbl 1343.34041
Doelman, A.; van Heijster, P.; Xie, F.
6
2016
Algebraically decaying pulses in a Ginzburg-Landau system with a neutrally stable mode. Zbl 1129.35015
Doelman, Arjen; Hek, Geertje; Valkhoff, Nienke
6
2007
Emergence of steady and oscillatory localized structures in a phytoplankton-nutrient model. Zbl 1233.35031
Zagaris, A.; Doelman, A.
6
2011
Existence and stability of traveling pulses in a reaction-diffusion-mechanics system. Zbl 1278.35045
Holzer, Matt; Doelman, Arjen; Kaper, Tasso J.
6
2013
Travelling waves in a singularly perturbed sine-Gordon equation. Zbl 1040.35093
Derks, Gianne; Doelman, Arjen; van Gils, Stephan A.; Visser, Timco
6
2003
Stabilization by slow diffusion in a real Ginzburg-Landau system. Zbl 1136.37356
Doelman, A.; Hek, G.; Valkhoff, N.
6
2004
Destabilization of fronts in a class of bistable systems. Zbl 1063.35023
Doelman, Arjen; Iron, David; Nishiura, Yasumasa
6
2004
Stable planar vegetation stripe patterns on sloped terrain in dryland ecosystems. Zbl 1419.35104
Bastiaansen, Robbin; Carter, Paul; Doelman, Arjen
5
2019
Homoclinic bifurcations at the onset of pulse self-replication. Zbl 1217.34074
Doelman, Arjen; Kaper, Tasso J.; Peletier, Lambertus A.
5
2006
Stability analysis of \(\pi\)-Kinks in a \(0-\pi\) Josephson junction. Zbl 1210.39014
Derks, G.; Doelman, A.; Van Gils, S. A.; Susanto, H.
5
2007
On the transition from the Ginzburg-Landau equation to the extended Fisher-Kolmogorov equation. Zbl 1194.76055
Rottschäfer, Vivi; Doelman, Arjen
5
1998
On the nonlinear dynamics of free bars in straight channels. Zbl 0789.76040
Schielen, R.; Doelman, A.; de Swart, H. E.
5
1993
Tracking pattern evolution through extended center manifold reduction and singular perturbations. Zbl 1364.35040
Sewalt, L.; Doelman, A.; Meijer, H. G. E.; Rottschäfer, V.; Zagaris, A.
5
2015
A geometric construction of traveling waves in a bioremediation model. Zbl 1100.92060
Beck, M.; Doelman, A.; Kaper, T. J.
4
2006
Homoclinic saddle-node bifurcations in singularly perturbed systems. Zbl 0949.34031
Doelman, Arjen; Hek, Geertje
3
2000
Homoclinic saddle-node bifurcations and subshifts in a three-dimensional flow. Zbl 0930.37026
Hek, Geertje; Doelman, Arjen; Holmes, Philip
3
1998
Homoclinic orbits and chaos in three- and four-dimensional flows. Zbl 1004.37013
Holmes, Philip; Doelman, Arjen; Hek, Geertje; Domokos, Gábor
3
2001
Bifurcations of strongly nonlinear self-excited oscillations. Zbl 0792.34037
Doelman, Arjen; Verhulst, Ferdinand
3
1994
Traveling stripes in the Klausmeier model of vegetation pattern formation. Zbl 1403.35132
Carter, Paul; Doelman, Arjen
2
2018
Exponential convergence of the Galerkin approximation for the Ginzburg- Landau equation. Zbl 0806.65088
Doelman, Arjen; Titi, Edriss S.
2
1993
Destabilization mechanisms of periodic pulse patterns near a homoclinic limit. Zbl 1400.35164
Doelman, Arjen; Rademacher, Jens; de Rijk, Björn; Veerman, Frits
1
2018
Pulse dynamics in reaction-diffusion equations with strong spatially localized impurities. Zbl 1402.35138
Doelman, Arjen; van Heijster, Peter; Shen, Jianhe
1
2018
The effect of slow spatial processes on emerging spatiotemporal patterns. Zbl 1374.92163
Doelman, A.; Sewalt, L.; Zagaris, A.
1
2015
The dynamics of disappearing pulses in a singularly perturbed reaction-diffusion system with parameters that vary in time and space. Zbl 1448.34096
Bastiaansen, Robbin; Doelman, Arjen
1
2019
Multibump patterns near a co-dimension 2 point. Zbl 0913.35064
Doelman, Arjen; Rottschäfer, Vivi
1
1998
Modulation equations for spatially periodic systems: Derivation and solutions. Zbl 0908.35009
Schielen, R.; Doelman, A.
1
1998
Nonlinear dynamics and pattern formation in the natural environment. Proceedings of the international conference held in Noordwijkerhout, The Netherlands, July 4-7, 1994. Zbl 0828.00036
Doelman, A. (ed.); van Harten, A. (ed.)
1
1995
Quasi-periodically forced nonlinear Helmholtz oscillators. Zbl 0993.86001
Doelman, Arjen; Femius Koenderink, A.; Maas, Leo R. M.
1
2002
Pulse solutions for an extended Klausmeier model with spatially varying coefficients. Zbl 1431.35071
Bastiaansen, Robbin; Chirilus-Bruckner, Martina; Doelman, Arjen
1
2020
Pulse solutions for an extended Klausmeier model with spatially varying coefficients. Zbl 1431.35071
Bastiaansen, Robbin; Chirilus-Bruckner, Martina; Doelman, Arjen
1
2020
Stable planar vegetation stripe patterns on sloped terrain in dryland ecosystems. Zbl 1419.35104
Bastiaansen, Robbin; Carter, Paul; Doelman, Arjen
5
2019
The dynamics of disappearing pulses in a singularly perturbed reaction-diffusion system with parameters that vary in time and space. Zbl 1448.34096
Bastiaansen, Robbin; Doelman, Arjen
1
2019
Traveling stripes in the Klausmeier model of vegetation pattern formation. Zbl 1403.35132
Carter, Paul; Doelman, Arjen
2
2018
Destabilization mechanisms of periodic pulse patterns near a homoclinic limit. Zbl 1400.35164
Doelman, Arjen; Rademacher, Jens; de Rijk, Björn; Veerman, Frits
1
2018
Pulse dynamics in reaction-diffusion equations with strong spatially localized impurities. Zbl 1402.35138
Doelman, Arjen; van Heijster, Peter; Shen, Jianhe
1
2018
Spatially periodic multipulse patterns in a generalized Klausmeier-Gray-Scott model. Zbl 1369.34067
Sewalt, Lotte; Doelman, Arjen
15
2017
Spectra and stability of spatially periodic pulse patterns: Evans function factorization via Riccati transformation. Zbl 1336.35042
de Rijk, Björn; Doelman, Arjen; Rademacher, Jens
9
2016
A geometric approach to stationary defect solutions in one space dimension. Zbl 1343.34041
Doelman, A.; van Heijster, P.; Xie, F.
6
2016
Striped pattern selection by advective reaction-diffusion systems: resilience of banded vegetation on slopes. Zbl 1374.92167
Siero, E.; Doelman, A.; Eppinga, M. B.; Rademacher, J. D. M.; Rietkerk, M.; Siteur, K.
26
2015
An explicit theory for pulses in two component, singularly perturbed, reaction-diffusion equations. Zbl 1339.35021
Doelman, Arjen; Veerman, Frits
15
2015
Butterfly catastrophe for fronts in a three-component reaction-diffusion system. Zbl 1325.35088
Chirilus-Bruckner, Martina; Doelman, Arjen; van Heijster, Peter; Rademacher, Jens D. M.
8
2015
Tracking pattern evolution through extended center manifold reduction and singular perturbations. Zbl 1364.35040
Sewalt, L.; Doelman, A.; Meijer, H. G. E.; Rottschäfer, V.; Zagaris, A.
5
2015
The effect of slow spatial processes on emerging spatiotemporal patterns. Zbl 1374.92163
Doelman, A.; Sewalt, L.; Zagaris, A.
1
2015
Meander and pearling of single-curvature bilayer interfaces in the functionalized Cahn-Hilliard equation. Zbl 1316.35026
Doelman, Arjen; Hayrapetyan, Gurgen; Promislow, Keith; Wetton, Brian
16
2014
Rise and fall of periodic patterns for a generalized Klausmeier-Gray-Scott model. Zbl 1270.35093
van der Stelt, Sjors; Doelman, Arjen; Hek, Geertje; Rademacher, Jens D. M.
32
2013
Pulses in a Gierer-Meinhardt equation with a slow nonlinearity. Zbl 1282.35049
Veerman, Frits; Doelman, Arjen
13
2013
Climate change, desertification and billiards. Zbl 1301.86005
Doelman, Arjen; Rademacher, Jens; Siero, Eric; Eppinga, Maarten; Rietkerk, Max; Siteur, Koen; Hek, Geertje
11
2013
Adiabatic stability under semi-strong interactions: the weakly damped regime. Zbl 1302.35029
Bellsky, Thomas; Doelman, Arjen; Kaper, Tasso J.; Promislow, Keith
10
2013
Stability of stationary fronts in a non-linear wave equation with spatial inhomogeneity. Zbl 1259.35029
Knight, Christopher J. K.; Derks, Gianne; Doelman, Arjen; Susanto, Hadi
9
2013
Existence and stability of traveling pulses in a reaction-diffusion-mechanics system. Zbl 1278.35045
Holzer, Matt; Doelman, Arjen; Kaper, Tasso J.
6
2013
Hopf dances near the tips of Busse balloons. Zbl 1252.35032
Doelman, Arjen; Rademacher, Jens D. M.; van der Stelt, Sjors
12
2012
Pinned fluxons in a Josephson junction with a finite-length inhomogeneity. Zbl 1245.82086
Derks, Gianne; Doelman, Arjen; Knight, Christopher J. K.; Susanto, Hadi
9
2012
Pinned fronts in heterogeneous media of jump type. Zbl 1208.35010
van Heijster, Peter; Doelman, Arjen; Kaper, Tasso J.; Nishiura, Yasumasa; Ueda, Kei-Ichi
17
2011
Emergence of steady and oscillatory localized structures in a phytoplankton-nutrient model. Zbl 1233.35031
Zagaris, A.; Doelman, A.
6
2011
Front interactions in a three-component system. Zbl 1197.35047
van Heijster, P.; Doelman, A.; Kaper, T. J.; Promislow, K.
23
2010
The dynamics of modulated wave trains. Zbl 1179.35005
Doelman, Arjen; Sandstede, Björn; Scheel, Arnd; Schneider, Guido
50
2009
Pulse dynamics in a three-component system: Existence analysis. Zbl 1173.35068
Doelman, Arjen; van Heijster, Peter; Kaper, Tasso J.
23
2009
Blooming in a nonlocal, coupled phytoplankton-nutrient model. Zbl 1178.35041
Zagaris, A.; Doelman, A.; Thi, N. N. Pham; Sommeijer, B. P.
8
2009
Pulse dynamics in a three-component system: Stability and bifurcations. Zbl 1153.37437
van Heijster, Peter; Doelman, Arjen; Kaper, Tasso J.
20
2008
Nonlinear asymptotic stability of the semistrong pulse dynamics in a regularized Gierer-Meinhardt model. Zbl 1131.35084
Doelman, Arjen; Kaper, Tasso J.; Promislow, Keith
24
2007
Algebraically decaying pulses in a Ginzburg-Landau system with a neutrally stable mode. Zbl 1129.35015
Doelman, Arjen; Hek, Geertje; Valkhoff, Nienke
6
2007
Stability analysis of \(\pi\)-Kinks in a \(0-\pi\) Josephson junction. Zbl 1210.39014
Derks, G.; Doelman, A.; Van Gils, S. A.; Susanto, H.
5
2007
Homoclinic bifurcations at the onset of pulse self-replication. Zbl 1217.34074
Doelman, Arjen; Kaper, Tasso J.; Peletier, Lambertus A.
5
2006
A geometric construction of traveling waves in a bioremediation model. Zbl 1100.92060
Beck, M.; Doelman, A.; Kaper, T. J.
4
2006
Stabilization by slow diffusion in a real Ginzburg-Landau system. Zbl 1136.37356
Doelman, A.; Hek, G.; Valkhoff, N.
6
2004
Destabilization of fronts in a class of bistable systems. Zbl 1063.35023
Doelman, Arjen; Iron, David; Nishiura, Yasumasa
6
2004
Propagation of hexagonal patterns near onset. Zbl 1044.37049
Doelman, Arjen; Sandstede, Björn; Scheel, Arnd; Schneider, Guido
33
2003
Semistrong pulse interactions in a class of coupled reaction-diffusion equations. Zbl 1088.35517
Doelman, Arjen; Kaper, Tasso J.
28
2003
Travelling waves in a singularly perturbed sine-Gordon equation. Zbl 1040.35093
Derks, Gianne; Doelman, Arjen; van Gils, Stephan A.; Visser, Timco
6
2003
A stability index analysis of 1-D patterns of the Gray-Scott model. Zbl 0994.35059
Doelman, Arjen; Gardner, Robert A.; Kaper, Tasso J.
38
2002
Homoclinic stripe patterns. Zbl 1004.35063
Doelman, Arjen; van der Ploeg, Harmen
28
2002
Quasi-periodically forced nonlinear Helmholtz oscillators. Zbl 0993.86001
Doelman, Arjen; Femius Koenderink, A.; Maas, Leo R. M.
1
2002
Large stable pulse solutions in reaction-diffusion equations. Zbl 0994.35058
Doelman, Arjen; Gardner, Robert A.; Kaper, Tasso J.
81
2001
Slowly modulated two-pulse solutions in the Gray–Scott model. II: Geometric theory, bifurcations, and splitting dynamics. Zbl 0989.35073
Doelman, Arjen; Eckhaus, Wiktor; Kaper, Tasso J.
22
2001
Spatially periodic and aperiodic multi-pulse patterns in the one-dimensional Gierer-Meinhardt equation. Zbl 1006.92008
Doelman, Arjen; Kaper, Tasso J.; van der Ploeg, Harmen
20
2001
Homoclinic orbits and chaos in three- and four-dimensional flows. Zbl 1004.37013
Holmes, Philip; Doelman, Arjen; Hek, Geertje; Domokos, Gábor
3
2001
Slowly modulated two-pulse solutions in the Gray-Scott model. I: Asymptotic construction and stability. Zbl 0979.35074
Doelman, Arjen; Eckhaus, Wiktor; Kaper, Tasso J.
25
2000
Stationary periodic patterns in the 1D Gray-Scott model. Zbl 0996.92041
Morgan, David S.; Doelman, Arjen; Kaper, Tasso J.
7
2000
Homoclinic saddle-node bifurcations in singularly perturbed systems. Zbl 0949.34031
Doelman, Arjen; Hek, Geertje
3
2000
Stability analysis of singular patterns in the 1D Gray-Scott model: a matched asymptotics approach. Zbl 0943.34039
Doelman, Arjen; Gardner, Robert A.; Kaper, Tasso J.
65
1998
On the transition from the Ginzburg-Landau equation to the extended Fisher-Kolmogorov equation. Zbl 1194.76055
Rottschäfer, Vivi; Doelman, Arjen
5
1998
Homoclinic saddle-node bifurcations and subshifts in a three-dimensional flow. Zbl 0930.37026
Hek, Geertje; Doelman, Arjen; Holmes, Philip
3
1998
Multibump patterns near a co-dimension 2 point. Zbl 0913.35064
Doelman, Arjen; Rottschäfer, Vivi
1
1998
Modulation equations for spatially periodic systems: Derivation and solutions. Zbl 0908.35009
Schielen, R.; Doelman, A.
1
1998
Pattern formation in the one-dimensional Gray-Scott model. Zbl 0905.35044
Doelman, Arjen; Kaper, Tasso J.; Zegeling, Paul A.
81
1997
Singularly perturbed and nonlocal modulation equations for systems with interacting instability mechanisms. Zbl 0885.58075
Doelman, A.; Rottschäfer, V.
7
1997
Analyticity of essentially bounded solutions to semilinear parabolic systems and validity of the Ginzburg-Landau equation. Zbl 0849.35014
Takáč, P.; Bollerman, P.; Doelman, A.; van Harten, A.; Titi, E. S.
17
1996
Breaking the hidden symmetry in the Ginzburg-Landau equation. Zbl 1194.35406
Doelman, Arjen
11
1996
Homoclinic explosions and implosions. Zbl 0881.58044
Doelman, Arjen; Holmes, Philip
9
1996
Instability of quasiperiodic solutions of the Ginzburg-Landau equation. Zbl 0840.35104
Doelman, A.; Gardner, R. A.; Jones, C. K. R. T.
7
1995
Nonlinear dynamics and pattern formation in the natural environment. Proceedings of the international conference held in Noordwijkerhout, The Netherlands, July 4-7, 1994. Zbl 0828.00036
Doelman, A.; van Harten, A.
1
1995
Bifurcations of strongly nonlinear self-excited oscillations. Zbl 0792.34037
Doelman, Arjen; Verhulst, Ferdinand
3
1994
Regularity of solutions and the convergence of the Galerkin method in the Ginzburg-Landau equation. Zbl 0792.35096
Doelman, Arjen; Titi, Edriss S.
24
1993
Traveling waves in the complex Ginzburg-Landau equation. Zbl 0805.35050
Doelman, A.
20
1993
On the nonlinear dynamics of free bars in straight channels. Zbl 0789.76040
Schielen, R.; Doelman, A.; de Swart, H. E.
5
1993
Exponential convergence of the Galerkin approximation for the Ginzburg- Landau equation. Zbl 0806.65088
Doelman, Arjen; Titi, Edriss S.
2
1993
Periodic and quasi-periodic solutions of degenerate modulation equations. Zbl 0744.35058
Doelman, Arjen; Eckhaus, Wiktor
29
1991
Finite-dimensional models of the Ginzburg-Landau equation. Zbl 0841.35007
Doelman, Arjen
12
1991
Slow time-periodic solutions of the Ginzburg-Landau equation. Zbl 0702.35206
Doelman, Arjen
19
1989
all top 5

Cited by 626 Authors

47 Wei, Juncheng
36 Ward, Michael J.
30 Doelman, Arjen
23 Kolokolnikov, Theodore
17 Winter, Matthias
14 van Heijster, Peter
13 Scheel, Arnd
11 Promislow, Keith Steven
11 Sandstede, Björn
11 Schneider, Guido
11 Tzou, Justin C.
10 Rademacher, Jens Diederich Michael
10 Sherratt, Jonathan A.
8 Chen, Chaonien
8 Nishiura, Yasumasa
8 Rodrigues, Luis Miguel
8 Titi, Edriss Saleh
7 de Rijk, Björn
7 Iron, David
7 Johnson, Mathew A.
7 Kaper, Tasso J.
7 Mancas, Stefan C.
7 Noble, Pascal
7 Shi, Junping
7 Zumbrun, Kevin R.
6 Derks, Gianne
6 Mielke, Alexander
6 Teramoto, Takashi
6 You, Yuncheng
5 Choi, Yung-Sze
5 Düll, Wolf-Patrick
5 Ei, Shin-Ichiro
5 Haragus, Mariana
5 Kapitula, Todd M.
5 Lloyd, David J. B.
5 Rottschäfer, Vivi
4 Beck, Margaret
4 Bridges, Thomas J.
4 Carter, Paul M.
4 Champneys, Alan R.
4 Duan, Jinqiao
4 Eigentler, Lukas
4 Gomez, Daniel
4 Hek, Geertje
4 Hou, Xiaojie
4 Hupkes, Hermen Jan
4 Knobloch, Edgar
4 Tse, Wang Hung
4 Wechselberger, Martin
4 Wise, Steven M.
4 Zegeling, Paul Andries
4 Zhang, Guohong
4 Zhou, Jun
3 Avitabile, Daniele
3 Barker, Blake
3 Bastiaansen, Robbin
3 Biswas, Animikh
3 Breña-Medina, Víctor F.
3 Chirilus-Bruckner, Martina
3 Choi, Yuncherl
3 Choudhury, Sumitra Roy
3 Ekomasov, Evgenii G.
3 Feng, Wenqiang
3 Gallay, Thierry
3 Grujić, Zoran
3 Ha, Taeyoung
3 Jaramillo, Gabriela
3 Jones, Christopher K. R. T.
3 Jung, Soyeun
3 Khaliq, Abdul Q. M.
3 Kozyreff, Gregory
3 Kukavica, Igor
3 Latushkin, Yuri
3 Li, You
3 Lowengrub, John Samuel
3 Marangell, Robert
3 Moyles, Iain R.
3 Nec, Yana
3 Rumsey, John R.
3 Sewalt, Lotte
3 Siero, Eric
3 Uecker, Hannes
3 Veerman, Frits
3 Wang, Cheng
3 Wang, Jinliang
3 Wang, Xiaoli
3 Wu, Tiantian
3 Xie, Shuangquan
3 Yang, Wen
3 Yang, Xiaosong
2 Abdelmalek, Salem
2 Ai, Shangbing
2 Ao, Weiwei
2 Baricz, Árpád
2 Bayliss, Alvin
2 Bendoukha, Samir
2 Bennett, Jamie J. R.
2 Bhatt, Harish P.
2 Bianchi, Luigi Amedeo
2 Blömker, Dirk
...and 526 more Authors
all top 5

Cited in 115 Serials

60 Physica D
35 Journal of Differential Equations
26 SIAM Journal on Applied Dynamical Systems
20 Journal of Dynamics and Differential Equations
20 Journal of Nonlinear Science
15 Journal of Mathematical Biology
15 European Journal of Applied Mathematics
13 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
11 Nonlinearity
11 Chaos
10 Journal of Mathematical Analysis and Applications
10 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
10 SIAM Journal on Mathematical Analysis
9 Archive for Rational Mechanics and Analysis
8 Applied Mathematics and Computation
8 SIAM Journal on Applied Mathematics
7 Computers & Mathematics with Applications
7 Chaos, Solitons and Fractals
7 Journal of Computational and Applied Mathematics
7 Discrete and Continuous Dynamical Systems. Series B
6 ZAMP. Zeitschrift für angewandte Mathematik und Physik
6 Studies in Applied Mathematics
5 Journal of Computational Physics
5 Journal of Fluid Mechanics
5 Journal of Mathematical Physics
5 Applied Mathematics Letters
5 Japan Journal of Industrial and Applied Mathematics
5 Nonlinear Analysis. Real World Applications
4 Communications in Mathematical Physics
4 Transactions of the American Mathematical Society
4 Discrete and Continuous Dynamical Systems
4 Advances in Difference Equations
4 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
3 Mathematics of Computation
3 Bulletin of Mathematical Biology
3 Mathematics and Computers in Simulation
3 Numerical Functional Analysis and Optimization
3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
3 Applied Numerical Mathematics
3 Journal de Mathématiques Pures et Appliquées. Neuvième Série
3 Calculus of Variations and Partial Differential Equations
3 Physics of Fluids
3 Communications in Nonlinear Science and Numerical Simulation
3 Discrete and Continuous Dynamical Systems. Series S
3 Journal of Theoretical Biology
2 Applicable Analysis
2 Mathematical Methods in the Applied Sciences
2 Journal of Functional Analysis
2 Journal of Scientific Computing
2 Numerical Algorithms
2 Computational Mathematics and Mathematical Physics
2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
2 Computational and Applied Mathematics
2 Nonlinear Dynamics
2 Qualitative Theory of Dynamical Systems
2 Communications on Pure and Applied Analysis
2 Analysis and Applications (Singapore)
2 Mathematical Biosciences and Engineering
1 Acta Mechanica
1 International Journal of Control
1 Indian Journal of Pure & Applied Mathematics
1 Mathematical Biosciences
1 Physics Reports
1 Reviews of Modern Physics
1 Theoretical and Mathematical Physics
1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki
1 Theoretical and Computational Fluid Dynamics
1 Journal of Geometry and Physics
1 Advances in Mathematics
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
1 Inventiones Mathematicae
1 Journal of the Korean Mathematical Society
1 Mathematische Annalen
1 Mathematische Nachrichten
1 Mathematische Zeitschrift
1 Meccanica
1 Proceedings of the American Mathematical Society
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Tokyo Journal of Mathematics
1 Acta Applicandae Mathematicae
1 Computational Mathematics and Modeling
1 Annals of Operations Research
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 Applied Mathematical Modelling
1 Communications in Partial Differential Equations
1 International Journal of Computer Mathematics
1 SIAM Review
1 Indagationes Mathematicae. New Series
1 Journal of Mathematical Sciences (New York)
1 Electronic Journal of Differential Equations (EJDE)
1 Advances in Computational Mathematics
1 Opuscula Mathematica
1 Mathematical Problems in Engineering
1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
1 New Journal of Physics
1 Communications in Contemporary Mathematics
1 International Journal of Nonlinear Sciences and Numerical Simulation
1 Dynamical Systems
1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
...and 15 more Serials

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