Scheel, Arnd

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 Author ID: scheel.arnd Published as: Scheel, Arnd; Scheel, A. External Links: MGP · Wikidata · IdRef
 Documents Indexed: 110 Publications since 1992, including 3 Books 1 Contribution as Editor Reviewing Activity: 23 Reviews Co-Authors: 57 Co-Authors with 96 Joint Publications 977 Co-Co-Authors
all top 5

Co-Authors

 12 single-authored 29 Sandstede, Björn 10 Haragus, Mariana 7 Goh, Ryan N. 6 Pogan, Alin 5 Faye, Grégory 5 Wulff, Claudia 4 Holzer, Matt 4 Wu, Qiliang 3 Chossat, Pascal 3 Fiedler, Bernold 3 Jaramillo, Gabriela 3 Rademacher, Jens Diederich Michael 3 Schneider, Guido 3 Stevens, Angela 2 Avery, Montie 2 Doelman, Arjen 2 Melbourne, Ian 2 Peterhof, Daniela 2 Weinburd, Jasper 2 Wright, J. Douglas 1 Anderson, Taylor 1 Ankney, N. 1 Bakker, Bente 1 Bellay, Jeremy 1 Carter, Paul M. 1 Chen, Kelly 1 Dedina, Cedric 1 Deiman, Zachary 1 Efendiev, Messoud 1 Gallay, Thierry 1 Goodloe, Oscar 1 Gurevich, Pavel L. 1 Härterich, Jörg M. 1 Hell, Juliette 1 Jankovic, Sally 1 Kang, Kyungkeun 1 Khain, Tali 1 Kollár, Richard 1 Kotzagiannidis, Madeleine 1 Lloyd, David J. B. 1 Lombardi, Eric 1 Lord, Gabriel James 1 Matthies, Karsten 1 Mesuro, Samantha 1 Milewski, Andrew R. 1 Monteiro, Rafael A. 1 Morrissey, David E. 1 Neville, Quinton 1 Pauthier, Antoine 1 Pelinovsky, Dmitry Efimovich 1 Peterson, Jeremiah 1 Redford, Joseph 1 Samuelson, Richard 1 Singer, Zachary 1 Smith, Aislinn 1 Stauffer, David 1 Tao, Tianyu 1 Tenbrock, Christoph 1 Uecker, Hannes 1 Van Vleck, Erik S. 1 Vishik, Marko Iosifovich 1 Zumbrun, Kevin R.
all top 5

Serials

 10 Nonlinearity 7 Journal of Differential Equations 7 Journal of Dynamics and Differential Equations 7 Journal of Nonlinear Science 7 SIAM Journal on Applied Dynamical Systems 4 Physica D 4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 4 SIAM Journal on Mathematical Analysis 4 Comptes Rendus de l’Académie des Sciences. Série I 3 Indiana University Mathematics Journal 3 Transactions of the American Mathematical Society 3 Discrete and Continuous Dynamical Systems 2 Archive for Rational Mechanics and Analysis 2 Communications in Mathematical Physics 2 Journal of Mathematical Biology 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Mathematische Nachrichten 2 Memoirs of the American Mathematical Society 2 European Journal of Applied Mathematics 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 Dynamical Systems 2 International Journal of Dynamical Systems and Differential Equations 1 Journal of Mathematical Analysis and Applications 1 Mathematical Methods in the Applied Sciences 1 Advances in Mathematics 1 Journal of the London Mathematical Society. Second Series 1 SIAM Journal on Numerical Analysis 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Differential and Integral Equations 1 Communications in Partial Differential Equations 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 SIAM Review 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Documenta Mathematica 1 Dynamics of Continuous, Discrete and Impulsive Systems 1 Chaos 1 RIMS Kokyuroku 1 Journal of Mathematical Fluid Mechanics 1 Multiscale Modeling & Simulation 1 GAMM-Mitteilungen 1 RIMS Kôkyûroku Bessatsu 1 Discrete and Continuous Dynamical Systems. Series S 1 Forum of Mathematics, Sigma 1 Springer Proceedings in Mathematics & Statistics 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
all top 5

Fields

 96 Partial differential equations (35-XX) 48 Dynamical systems and ergodic theory (37-XX) 21 Ordinary differential equations (34-XX) 12 Fluid mechanics (76-XX) 12 Biology and other natural sciences (92-XX) 5 Operator theory (47-XX) 5 Mechanics of particles and systems (70-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Numerical analysis (65-XX) 4 Mechanics of deformable solids (74-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 General and overarching topics; collections (00-XX) 2 Difference and functional equations (39-XX) 2 Integral equations (45-XX) 2 Manifolds and cell complexes (57-XX) 2 Optics, electromagnetic theory (78-XX) 1 Algebraic topology (55-XX) 1 Systems theory; control (93-XX)

Citations contained in zbMATH Open

100 Publications have been cited 1,226 times in 620 Documents Cited by Year
Absolute and convective instabilities of waves on unbounded and large bounded domains. Zbl 0963.34072
Sandstede, Björn; Scheel, Arnd
2000
The dynamics of modulated wave trains. Zbl 1179.35005
Doelman, Arjen; Sandstede, Björn; Scheel, Arnd; Schneider, Guido
2009
Exponential dichotomies for solitary-wave solutions of semilinear elliptic equations on infinite cylinders. Zbl 0908.35048
Peterhof, Daniela; Sandstede, Björn; Scheel, Arnd
1997
Defects in oscillatory media: toward a classification. Zbl 1059.37062
Sandstede, Björn; Scheel, Arnd
2004
Computing absolute and essential spectra using continuation. Zbl 1119.65114
Rademacher, Jens D. M.; Sandstede, Björn; Scheel, Arnd
2007
Corner defects in almost planar interface propagation. Zbl 1098.35085
Haragus, Mariana; Scheel, Arnd
2006
Propagation of hexagonal patterns near onset. Zbl 1044.37049
Doelman, Arjen; Sandstede, Björn; Scheel, Arnd; Schneider, Guido
2003
On the structure of spectra of modulated travelling waves. Zbl 0994.35025
Sandstede, Björn; Scheel, Arnd
2001
Spatio-temporal dynamics of reaction-diffusion patterns. Zbl 1082.37004
Fiedler, Bernold; Scheel, Arnd
2003
Bifurcation from relative equilibria of noncompact group actions: Skew products, meanders, and drifts. Zbl 0870.58014
Fiedler, Bernold; Sandstede, Björn; Scheel, Arnd; Wulff, Claudia
1996
Dynamics of spiral waves on unbounded domains using center-manifold reductions. Zbl 0888.35053
Sandstede, Björn; Scheel, Arnd; Wulff, Claudia
1997
Exponential dichotomies for linear non-autonomous functional differential equations of mixed type. Zbl 1047.34079
Härterich, Jörg; Sandstede, Björn; Scheel, Arnd
2002
Relative morse indices, Fredholm indices, and group velocities. Zbl 1144.35410
Sandstede, Björn; Scheel, Arnd
2008
On the stability of periodic travelling waves with large spatial period. Zbl 0994.34035
Sandstede, Björn; Scheel, Arnd
2001
Diffusive mixing of periodic wave trains in reaction-diffusion systems. Zbl 1298.35108
Sandstede, Björn; Scheel, Arnd; Schneider, Guido; Uecker, Hannes
2012
Bifurcation to spiral waves in reaction-diffusion systems. Zbl 0928.35017
Scheel, Arnd
1998
Gluing unstable fronts and backs together can produce stable pulses. Zbl 0977.34073
Sandstede, Björn; Scheel, Arnd
2000
Evans function and blow-up methods in critical eigenvalue problems. Zbl 1068.35080
Sandstede, Björn; Scheel, Arnd
2004
Hopf bifurcation from viscous shock waves. Zbl 1195.35043
Sandstede, Björn; Scheel, Arnd
2008
Almost planar waves in anisotropic media. Zbl 1098.35086
Haragus, Mariana; Scheel, Arnd
2006
Existence of pulses in excitable media with nonlocal coupling. Zbl 1304.35187
Faye, Grégory; Scheel, Arnd
2015
Bifurcations and dynamics of spiral waves. Zbl 0951.35014
Sandstede, B.; Scheel, A.; Wulff, C.
1999
Radially symmetric patterns of reaction-diffusion systems. Zbl 1036.35092
Scheel, Arnd
2003
Criteria for pointwise growth and their role in invasion processes. Zbl 1296.35017
Holzer, Matt; Scheel, Arnd
2014
Instabilities of wave trains and turing patterns in large domains. Zbl 1141.37359
Rademacher, Jens D. M.; Scheel, Arnd
2007
Transverse bifurcations of homoclinic cycles. Zbl 0892.34044
Chossat, P.; Krupa, M.; Melbourne, I.; Scheel, A.
1997
Spectral stability of wave trains in the Kawahara equation. Zbl 1111.35060
Haragus, Mariana; Lombardi, Eric; Scheel, Arnd
2006
Continuation and bifurcation of grain boundaries in the Swift-Hohenberg equation. Zbl 1434.35016
Lloyd, David J. B.; Scheel, Arnd
2017
A slow pushed front in a Lotka-Volterra competition model. Zbl 1252.35106
Holzer, Matt; Scheel, Arnd
2012
Essential instabilities of fronts: bifurcation, and bifurcation failure. Zbl 1055.37069
Sandstede, Björn; Scheel, Arnd
2001
Forced symmetry breaking of homoclinic cycles. Zbl 0841.58048
Sandstede, Björn; Scheel, Arnd
1995
Accelerated fronts in a two-stage invasion process. Zbl 1292.35073
Holzer, Matt; Scheel, Arnd
2014
Numerical computation of solitary waves in infinite cylindrical domains. Zbl 0956.65108
Lord, Gabriel J.; Peterhof, Daniela; Sandstede, Björn; Scheel, Arnd
2000
Spectral stability of modulated travelling waves bifurcation near essential instabilities. Zbl 0965.35081
Sandstede, B.; Scheel, A.
2000
Fredholm properties of nonlocal differential operators via spectral flow. Zbl 1310.47067
Faye, Grégory; Scheel, Arnd
2014
Finite-wavelength stability of capillary-gravity solitary waves. Zbl 0992.35062
Haragus, Mariana; Scheel, Arnd
2002
Pinning and unpinning in nonlocal systems. Zbl 1356.45008
Anderson, Taylor; Faye, Grégory; Scheel, Arnd; Stauffer, David
2016
Exponential averaging for Hamiltonian evolution equations. Zbl 1008.37043
Matthies, Karsten; Scheel, Arnd
2003
Instability of spikes in the presence of conservation laws. Zbl 1233.35027
Pogan, Alin; Scheel, Arnd
2010
Period-doubling of spiral waves and defects. Zbl 1210.37053
Sandstede, Björn; Scheel, Arnd
2007
Large patterns of elliptic systems in infinite cylinders. Zbl 0917.35011
Fiedler, Bernold; Scheel, Arnd; Vishik, Mark I.
1998
Center-manifold reduction for spiral waves. Zbl 0879.35079
Sandstede, Björn; Scheel, Arnd; Wulff, Claudia
1997
Triggered fronts in the complex Ginzburg Landau equation. Zbl 1297.35224
Goh, Ryan; Scheel, Arnd
2014
Small-amplitude grain boundaries of arbitrary angle in the Swift-Hohenberg equation. Zbl 1292.35040
Scheel, Arnd; Wu, Qiliang
2014
A bifurcation approach to non-planar traveling waves in reaction-diffusion systems. Zbl 1133.35385
Haragus, Mariana; Scheel, Arnd
2007
Spatial wavenumber selection in recurrent precipitation. Zbl 1217.35022
Goh, Ryan N.; Mesuro, Samantha; Scheel, Arnd
2011
Spinodal decomposition and coarsening fronts in the Cahn-Hilliard equation. Zbl 1377.35168
Scheel, Arnd
2017
Linear stability and instability of ion-acoustic plasma solitary waves. Zbl 1001.76038
Haragus, Mariana; Scheel, Arnd
2002
Essential instability of pulses and bifurcations to modulated travelling waves. Zbl 0956.35065
Sandstede, B.; Scheel, A.
1999
Basin boundaries and bifurcations near convective instabilities: a case study. Zbl 1065.35054
Sandstede, Björn; Scheel, Arnd
2005
Grain boundaries in the Swift-Hohenberg equation. Zbl 1257.35150
Haragus, Mariana; Scheel, Arnd
2012
The saddle-node of nearly homogeneous wave trains in reaction-diffusion systems. Zbl 1120.35052
Rademacher, Jens D. M.; Scheel, Arnd
2007
Coherent structures generated by inhomogeneities in oscillatory media. Zbl 1210.37052
Kollár, Richard; Scheel, Arnd
2007
Deformation of striped patterns by inhomogeneities. Zbl 1318.35033
Jaramillo, Gabriela; Scheel, Arnd
2015
Characterizing the effect of boundary conditions on striped phases. Zbl 1330.35035
Morrissey, David; Scheel, Arnd
2015
Phase separation patterns from directional quenching. Zbl 1378.35031
Monteiro, Rafael; Scheel, Arnd
2017
Pattern-forming fronts in a Swift-Hohenberg equation with directional quenching – parallel and oblique stripes. Zbl 1395.35024
Goh, Ryan; Scheel, Arnd
2018
Coarsening fronts. Zbl 1109.35116
Scheel, Arnd
2006
Solitary waves and their linear stability in weakly coupled KdV equations. Zbl 1119.76009
Wright, J. Douglas; Scheel, Arnd
2007
Interfaces between rolls in the Swift-Hohenberg equation. Zbl 1169.35032
Haragus, Mariana; Scheel, Arnd
2007
Center manifolds without a phase space. Zbl 1406.37026
Faye, Grégory; Scheel, Arnd
2018
Pattern formation in the wake of triggered pushed fronts. Zbl 1353.35055
Goh, Ryan; Scheel, Arnd
2016
Linear spreading speeds from nonlinear resonant interaction. Zbl 1386.35203
Faye, Grégory; Holzer, Matt; Scheel, Arnd
2017
Spatial Hamiltonian identities for nonlocally coupled systems. Zbl 1401.35367
Bakker, Bente; Scheel, Arnd
2018
Quasi-gradient systems, modulational dichotomies, and stability of spatially periodic patterns. Zbl 1289.35030
Pogan, Alin; Scheel, Arnd; Zumbrun, Kevin
2013
Stable pattern selection through invasion fronts in closed two-species reaction-diffusion systems. Zbl 1260.92011
Kotzagiannidis, Madeleine; Peterson, Jeremiah; Redford, Joseph; Scheel, Arnd; Wu, Qiliang
2012
Diffusive stability of oscillations in reaction-diffusion systems. Zbl 1227.35056
Gallay, Thierry; Scheel, Arnd
2011
Existence of fast traveling waves for some parabolic equations: A dynamical systems approach. Zbl 0878.35057
Scheel, Arnd
1996
Lattice differential equations embedded into reaction-diffusion systems. Zbl 1173.35550
Scheel, Arnd; van Vleck, Erik S.
2009
Wavenumber selection in coupled transport equations. Zbl 1387.92064
Scheel, Arnd; Stevens, Angela
2017
Growing stripes, with and without wrinkles. Zbl 1423.35156
Avery, M.; Goh, R.; Goodloe, O.; Milewski, A.; Scheel, A.
2019
Dynamical behavior of patterns with Euclidean symmetry. Zbl 0966.35064
Sandstede, Björn; Scheel, Arnd; Wulff, Claudia
1999
Diffusive stability of Turing patterns via normal forms. Zbl 1375.35242
Scheel, Arnd; Wu, Qiliang
2015
Dislocations in an anisotropic Swift-Hohenberg equation. Zbl 1253.35182
Haragus, Mariana; Scheel, Arnd
2012
Bifurcation d’orbites périodiques à partir d’un cycle homocline symétrique. (Bifurcation of periodic orbits from a symmetric homoclinic cycle). Zbl 0748.34024
Scheel, Arnd; Chossat, Pascal
1992
Layers in the presence of conservation laws. Zbl 1260.37051
Pogan, Alin; Scheel, Arnd
2012
Hopf bifurcation from fronts in the Cahn-Hilliard equation. Zbl 1317.35197
Goh, Ryan; Scheel, Arnd
2015
Colliding dissipative pulses – the shooting manifold. Zbl 1146.35013
Scheel, Arnd; Wright, J. Douglas
2008
Wavenumber selection via spatial parameter jump. Zbl 1402.35136
Scheel, Arnd; Weinburd, Jasper
2018
Stability analysis of stationary light transmission in nonlinear photonic structures. Zbl 1116.78016
Pelinovsky, D. E.; Scheel, A.
2003
Absolute instabilities of standing pulses. Zbl 1109.37053
Sandstede, Björn; Scheel, Arnd
2005
Fredholm properties of radially symmetric, second order differential operators. Zbl 1246.47011
Pogan, Alin; Scheel, Arnd
2011
Instability of radially-symmetric spikes in systems with a conserved quantity. Zbl 1269.37034
Pogan, Alin; Scheel, Arnd
2012
Robustness of Liesegang patterns. Zbl 1163.34029
Scheel, Arnd
2009
Bifurcation to coherent structures in nonlocally coupled systems. Zbl 1420.35033
Scheel, Arnd; Tao, Tianyu
2019
Subcritical bifurcation to infinitely many rotating waves. Zbl 0892.34004
Scheel, Arnd
1997
Pacemakers in large arrays of oscillators with nonlocal coupling. Zbl 1331.35045
Jaramillo, Gabriela; Scheel, Arnd
2016
The effect of impurities on striped phases. Zbl 1454.35028
Jaramillo, Gabriela; Scheel, Arnd; Wu, Qiliang
2019
Wave train selection by invasion fronts in the Fitzhugh-Nagumo equation. Zbl 1406.35027
Carter, Paul; Scheel, Arnd
2018
Global phase diagrams of run-and-tumble dynamics: equidistribution, waves, and blowup. Zbl 1415.92151
Kang, Kyungkeun; Scheel, Arnd; Stevens, Angela
2019
Magnetic dynamos in rotating convection – a dynamical systems approach. Zbl 0939.35020
Chossat, P.; Krupa, M.; Melbourne, I.; Scheel, A.
1999
Fast travelling waves for convective reaction-diffusion equations. Zbl 0781.76079
Scheel, Arnd
1993
Fast travelling waves for the Cahn-Hilliard equation in an infinite strip. Zbl 0798.35067
Scheel, Arnd
1993
Upper and lower bounds for the Hausdorff dimension of the attractor for reaction-diffusion equations in $$\mathbf R^n$$. Zbl 0951.35502
Efendiev, M. A.; Scheel, A.
1999
Traveling fronts bifurcating from stable layers in the presence of conservation laws. Zbl 1360.37171
Pogan, Alin; Scheel, Arnd
2017
Stable viscous shocks in elliptic conservation laws. Zbl 1128.35033
Haragus, Mariana; Scheel, Arnd
2007
Coherent structures near the boundary between excitable and oscillatory media. Zbl 1191.37040
Bellay, Jeremy; Scheel, Arnd
2010
Advection-diffusion dynamics with nonlinear boundary flux as a model for crystal growth. Zbl 07261806
Pauthier, Antoine; Scheel, Arnd
2020
Patterns of dynamics. In honour of Bernold Fiedler’s 60th birthday, Berlin, Germany, July 25–29, 2016. Zbl 1388.93001
2017
Asymptotic stability of critical pulled fronts via resolvent expansions near the essential spectrum. Zbl 1462.35058
Avery, Montie; Scheel, Arnd
2021
Asymptotic stability of critical pulled fronts via resolvent expansions near the essential spectrum. Zbl 1462.35058
Avery, Montie; Scheel, Arnd
2021
Advection-diffusion dynamics with nonlinear boundary flux as a model for crystal growth. Zbl 07261806
Pauthier, Antoine; Scheel, Arnd
2020
Growing stripes, with and without wrinkles. Zbl 1423.35156
Avery, M.; Goh, R.; Goodloe, O.; Milewski, A.; Scheel, A.
2019
Bifurcation to coherent structures in nonlocally coupled systems. Zbl 1420.35033
Scheel, Arnd; Tao, Tianyu
2019
The effect of impurities on striped phases. Zbl 1454.35028
Jaramillo, Gabriela; Scheel, Arnd; Wu, Qiliang
2019
Global phase diagrams of run-and-tumble dynamics: equidistribution, waves, and blowup. Zbl 1415.92151
Kang, Kyungkeun; Scheel, Arnd; Stevens, Angela
2019
Pattern-forming fronts in a Swift-Hohenberg equation with directional quenching – parallel and oblique stripes. Zbl 1395.35024
Goh, Ryan; Scheel, Arnd
2018
Center manifolds without a phase space. Zbl 1406.37026
Faye, Grégory; Scheel, Arnd
2018
Spatial Hamiltonian identities for nonlocally coupled systems. Zbl 1401.35367
Bakker, Bente; Scheel, Arnd
2018
Wavenumber selection via spatial parameter jump. Zbl 1402.35136
Scheel, Arnd; Weinburd, Jasper
2018
Wave train selection by invasion fronts in the Fitzhugh-Nagumo equation. Zbl 1406.35027
Carter, Paul; Scheel, Arnd
2018
Continuation and bifurcation of grain boundaries in the Swift-Hohenberg equation. Zbl 1434.35016
Lloyd, David J. B.; Scheel, Arnd
2017
Spinodal decomposition and coarsening fronts in the Cahn-Hilliard equation. Zbl 1377.35168
Scheel, Arnd
2017
Phase separation patterns from directional quenching. Zbl 1378.35031
Monteiro, Rafael; Scheel, Arnd
2017
Linear spreading speeds from nonlinear resonant interaction. Zbl 1386.35203
Faye, Grégory; Holzer, Matt; Scheel, Arnd
2017
Wavenumber selection in coupled transport equations. Zbl 1387.92064
Scheel, Arnd; Stevens, Angela
2017
Traveling fronts bifurcating from stable layers in the presence of conservation laws. Zbl 1360.37171
Pogan, Alin; Scheel, Arnd
2017
Patterns of dynamics. In honour of Bernold Fiedler’s 60th birthday, Berlin, Germany, July 25–29, 2016. Zbl 1388.93001
2017
Pinning and unpinning in nonlocal systems. Zbl 1356.45008
Anderson, Taylor; Faye, Grégory; Scheel, Arnd; Stauffer, David
2016
Pattern formation in the wake of triggered pushed fronts. Zbl 1353.35055
Goh, Ryan; Scheel, Arnd
2016
Pacemakers in large arrays of oscillators with nonlocal coupling. Zbl 1331.35045
Jaramillo, Gabriela; Scheel, Arnd
2016
Existence of pulses in excitable media with nonlocal coupling. Zbl 1304.35187
Faye, Grégory; Scheel, Arnd
2015
Deformation of striped patterns by inhomogeneities. Zbl 1318.35033
Jaramillo, Gabriela; Scheel, Arnd
2015
Characterizing the effect of boundary conditions on striped phases. Zbl 1330.35035
Morrissey, David; Scheel, Arnd
2015
Diffusive stability of Turing patterns via normal forms. Zbl 1375.35242
Scheel, Arnd; Wu, Qiliang
2015
Hopf bifurcation from fronts in the Cahn-Hilliard equation. Zbl 1317.35197
Goh, Ryan; Scheel, Arnd
2015
Criteria for pointwise growth and their role in invasion processes. Zbl 1296.35017
Holzer, Matt; Scheel, Arnd
2014
Accelerated fronts in a two-stage invasion process. Zbl 1292.35073
Holzer, Matt; Scheel, Arnd
2014
Fredholm properties of nonlocal differential operators via spectral flow. Zbl 1310.47067
Faye, Grégory; Scheel, Arnd
2014
Triggered fronts in the complex Ginzburg Landau equation. Zbl 1297.35224
Goh, Ryan; Scheel, Arnd
2014
Small-amplitude grain boundaries of arbitrary angle in the Swift-Hohenberg equation. Zbl 1292.35040
Scheel, Arnd; Wu, Qiliang
2014
Quasi-gradient systems, modulational dichotomies, and stability of spatially periodic patterns. Zbl 1289.35030
Pogan, Alin; Scheel, Arnd; Zumbrun, Kevin
2013
Diffusive mixing of periodic wave trains in reaction-diffusion systems. Zbl 1298.35108
Sandstede, Björn; Scheel, Arnd; Schneider, Guido; Uecker, Hannes
2012
A slow pushed front in a Lotka-Volterra competition model. Zbl 1252.35106
Holzer, Matt; Scheel, Arnd
2012
Grain boundaries in the Swift-Hohenberg equation. Zbl 1257.35150
Haragus, Mariana; Scheel, Arnd
2012
Stable pattern selection through invasion fronts in closed two-species reaction-diffusion systems. Zbl 1260.92011
Kotzagiannidis, Madeleine; Peterson, Jeremiah; Redford, Joseph; Scheel, Arnd; Wu, Qiliang
2012
Dislocations in an anisotropic Swift-Hohenberg equation. Zbl 1253.35182
Haragus, Mariana; Scheel, Arnd
2012
Layers in the presence of conservation laws. Zbl 1260.37051
Pogan, Alin; Scheel, Arnd
2012
Instability of radially-symmetric spikes in systems with a conserved quantity. Zbl 1269.37034
Pogan, Alin; Scheel, Arnd
2012
Spatial wavenumber selection in recurrent precipitation. Zbl 1217.35022
Goh, Ryan N.; Mesuro, Samantha; Scheel, Arnd
2011
Diffusive stability of oscillations in reaction-diffusion systems. Zbl 1227.35056
Gallay, Thierry; Scheel, Arnd
2011
Fredholm properties of radially symmetric, second order differential operators. Zbl 1246.47011
Pogan, Alin; Scheel, Arnd
2011
Instability of spikes in the presence of conservation laws. Zbl 1233.35027
Pogan, Alin; Scheel, Arnd
2010
Coherent structures near the boundary between excitable and oscillatory media. Zbl 1191.37040
Bellay, Jeremy; Scheel, Arnd
2010
The dynamics of modulated wave trains. Zbl 1179.35005
Doelman, Arjen; Sandstede, Björn; Scheel, Arnd; Schneider, Guido
2009
Lattice differential equations embedded into reaction-diffusion systems. Zbl 1173.35550
Scheel, Arnd; van Vleck, Erik S.
2009
Robustness of Liesegang patterns. Zbl 1163.34029
Scheel, Arnd
2009
Relative morse indices, Fredholm indices, and group velocities. Zbl 1144.35410
Sandstede, Björn; Scheel, Arnd
2008
Hopf bifurcation from viscous shock waves. Zbl 1195.35043
Sandstede, Björn; Scheel, Arnd
2008
Colliding dissipative pulses – the shooting manifold. Zbl 1146.35013
Scheel, Arnd; Wright, J. Douglas
2008
Computing absolute and essential spectra using continuation. Zbl 1119.65114
Rademacher, Jens D. M.; Sandstede, Björn; Scheel, Arnd
2007
Instabilities of wave trains and turing patterns in large domains. Zbl 1141.37359
Rademacher, Jens D. M.; Scheel, Arnd
2007
Period-doubling of spiral waves and defects. Zbl 1210.37053
Sandstede, Björn; Scheel, Arnd
2007
A bifurcation approach to non-planar traveling waves in reaction-diffusion systems. Zbl 1133.35385
Haragus, Mariana; Scheel, Arnd
2007
The saddle-node of nearly homogeneous wave trains in reaction-diffusion systems. Zbl 1120.35052
Rademacher, Jens D. M.; Scheel, Arnd
2007
Coherent structures generated by inhomogeneities in oscillatory media. Zbl 1210.37052
Kollár, Richard; Scheel, Arnd
2007
Solitary waves and their linear stability in weakly coupled KdV equations. Zbl 1119.76009
Wright, J. Douglas; Scheel, Arnd
2007
Interfaces between rolls in the Swift-Hohenberg equation. Zbl 1169.35032
Haragus, Mariana; Scheel, Arnd
2007
Stable viscous shocks in elliptic conservation laws. Zbl 1128.35033
Haragus, Mariana; Scheel, Arnd
2007
Corner defects in almost planar interface propagation. Zbl 1098.35085
Haragus, Mariana; Scheel, Arnd
2006
Almost planar waves in anisotropic media. Zbl 1098.35086
Haragus, Mariana; Scheel, Arnd
2006
Spectral stability of wave trains in the Kawahara equation. Zbl 1111.35060
Haragus, Mariana; Lombardi, Eric; Scheel, Arnd
2006
Coarsening fronts. Zbl 1109.35116
Scheel, Arnd
2006
Basin boundaries and bifurcations near convective instabilities: a case study. Zbl 1065.35054
Sandstede, Björn; Scheel, Arnd
2005
Absolute instabilities of standing pulses. Zbl 1109.37053
Sandstede, Björn; Scheel, Arnd
2005
Defects in oscillatory media: toward a classification. Zbl 1059.37062
Sandstede, Björn; Scheel, Arnd
2004
Evans function and blow-up methods in critical eigenvalue problems. Zbl 1068.35080
Sandstede, Björn; Scheel, Arnd
2004
Propagation of hexagonal patterns near onset. Zbl 1044.37049
Doelman, Arjen; Sandstede, Björn; Scheel, Arnd; Schneider, Guido
2003
Spatio-temporal dynamics of reaction-diffusion patterns. Zbl 1082.37004
Fiedler, Bernold; Scheel, Arnd
2003
Radially symmetric patterns of reaction-diffusion systems. Zbl 1036.35092
Scheel, Arnd
2003
Exponential averaging for Hamiltonian evolution equations. Zbl 1008.37043
Matthies, Karsten; Scheel, Arnd
2003
Stability analysis of stationary light transmission in nonlinear photonic structures. Zbl 1116.78016
Pelinovsky, D. E.; Scheel, A.
2003
Exponential dichotomies for linear non-autonomous functional differential equations of mixed type. Zbl 1047.34079
Härterich, Jörg; Sandstede, Björn; Scheel, Arnd
2002
Finite-wavelength stability of capillary-gravity solitary waves. Zbl 0992.35062
Haragus, Mariana; Scheel, Arnd
2002
Linear stability and instability of ion-acoustic plasma solitary waves. Zbl 1001.76038
Haragus, Mariana; Scheel, Arnd
2002
On the structure of spectra of modulated travelling waves. Zbl 0994.35025
Sandstede, Björn; Scheel, Arnd
2001
On the stability of periodic travelling waves with large spatial period. Zbl 0994.34035
Sandstede, Björn; Scheel, Arnd
2001
Essential instabilities of fronts: bifurcation, and bifurcation failure. Zbl 1055.37069
Sandstede, Björn; Scheel, Arnd
2001
Absolute and convective instabilities of waves on unbounded and large bounded domains. Zbl 0963.34072
Sandstede, Björn; Scheel, Arnd
2000
Gluing unstable fronts and backs together can produce stable pulses. Zbl 0977.34073
Sandstede, Björn; Scheel, Arnd
2000
Numerical computation of solitary waves in infinite cylindrical domains. Zbl 0956.65108
Lord, Gabriel J.; Peterhof, Daniela; Sandstede, Björn; Scheel, Arnd
2000
Spectral stability of modulated travelling waves bifurcation near essential instabilities. Zbl 0965.35081
Sandstede, B.; Scheel, A.
2000
Bifurcations and dynamics of spiral waves. Zbl 0951.35014
Sandstede, B.; Scheel, A.; Wulff, C.
1999
Essential instability of pulses and bifurcations to modulated travelling waves. Zbl 0956.35065
Sandstede, B.; Scheel, A.
1999
Dynamical behavior of patterns with Euclidean symmetry. Zbl 0966.35064
Sandstede, Björn; Scheel, Arnd; Wulff, Claudia
1999
Magnetic dynamos in rotating convection – a dynamical systems approach. Zbl 0939.35020
Chossat, P.; Krupa, M.; Melbourne, I.; Scheel, A.
1999
Upper and lower bounds for the Hausdorff dimension of the attractor for reaction-diffusion equations in $$\mathbf R^n$$. Zbl 0951.35502
Efendiev, M. A.; Scheel, A.
1999
Bifurcation to spiral waves in reaction-diffusion systems. Zbl 0928.35017
Scheel, Arnd
1998
Large patterns of elliptic systems in infinite cylinders. Zbl 0917.35011
Fiedler, Bernold; Scheel, Arnd; Vishik, Mark I.
1998
Exponential dichotomies for solitary-wave solutions of semilinear elliptic equations on infinite cylinders. Zbl 0908.35048
Peterhof, Daniela; Sandstede, Björn; Scheel, Arnd
1997
Dynamics of spiral waves on unbounded domains using center-manifold reductions. Zbl 0888.35053
Sandstede, Björn; Scheel, Arnd; Wulff, Claudia
1997
Transverse bifurcations of homoclinic cycles. Zbl 0892.34044
Chossat, P.; Krupa, M.; Melbourne, I.; Scheel, A.
1997
Center-manifold reduction for spiral waves. Zbl 0879.35079
Sandstede, Björn; Scheel, Arnd; Wulff, Claudia
1997
Subcritical bifurcation to infinitely many rotating waves. Zbl 0892.34004
Scheel, Arnd
1997
Bifurcation from relative equilibria of noncompact group actions: Skew products, meanders, and drifts. Zbl 0870.58014
Fiedler, Bernold; Sandstede, Björn; Scheel, Arnd; Wulff, Claudia
1996
Existence of fast traveling waves for some parabolic equations: A dynamical systems approach. Zbl 0878.35057
Scheel, Arnd
1996
Forced symmetry breaking of homoclinic cycles. Zbl 0841.58048
Sandstede, Björn; Scheel, Arnd
1995
Fast travelling waves for convective reaction-diffusion equations. Zbl 0781.76079
Scheel, Arnd
1993
Fast travelling waves for the Cahn-Hilliard equation in an infinite strip. Zbl 0798.35067
Scheel, Arnd
1993
Bifurcation d’orbites périodiques à partir d’un cycle homocline symétrique. (Bifurcation of periodic orbits from a symmetric homoclinic cycle). Zbl 0748.34024
Scheel, Arnd; Chossat, Pascal
1992
all top 5

Cited by 735 Authors

 51 Scheel, Arnd 34 Zumbrun, Kevin R. 32 Sandstede, Björn 19 Sherratt, Jonathan A. 17 Latushkin, Yuri 17 Rademacher, Jens Diederich Michael 14 Johnson, Mathew A. 12 Faye, Grégory 12 Fiedler, Bernold 11 Haragus, Mariana 11 Hupkes, Hermen Jan 11 Rodrigues, Luis Miguel 10 Holzer, Matt 10 Schneider, Guido 9 de Rijk, Björn 9 Doelman, Arjen 9 Jones, Christopher K. R. T. 9 Pogan, Alin 9 Rocha, Carlos 8 Barker, Blake 8 Beck, Margaret 8 Hamel, François 8 Melbourne, Ian 8 Noble, Pascal 8 Sukhtayev, Alim 7 Ashwin, Peter 7 Ghazaryan, Anna 7 Lloyd, David J. B. 7 Sheng, WeiJie 7 van Heijster, Peter 7 Wulff, Claudia 6 Bu, Zhenhui 6 Deconinck, Bernard 6 Jung, Soyeun 6 Liu, Qian 6 Marangell, Robert 6 Ruan, Shigui 6 Van Vleck, Erik S. 6 Wang, Zhi Cheng 6 Wang, Zhi Cheng 5 Beyn, Wolf-Jürgen 5 Bramburger, Jason J. 5 Cox, Graham 5 Düll, Wolf-Patrick 5 Goh, Ryan N. 5 Jaramillo, Gabriela 5 Lamb, Jeroen S. W. 5 Promislow, Keith Steven 5 van den Berg, Jan Bouwe 4 Bennett, Jamie J. R. 4 Bridges, Thomas J. 4 Carter, Paul M. 4 Howard, Peter 4 Kalliadasis, Serafim 4 Kapitula, Todd M. 4 LeBlanc, Victor G. 4 Lin, Xiaobiao 4 Magal, Pierre 4 Matthies, Karsten 4 Postlethwaite, Claire M. 4 Schouten-Straatman, Willem M. 4 Smith, Matthew J. 4 Szmolyan, Peter 4 Taniguchi, Masaharu 4 Tsai, Je-Chiang 4 Tseluiko, Dmitri 4 Uecker, Hannes 4 Wechselberger, Martin 4 Zelik, Sergey V. 3 Berestycki, Henri 3 Castro, Sofia B. S. D. 3 Chen, Xinfu 3 Choi, Yuncherl 3 Deng, Shengfu 3 Derks, Gianne 3 Engel, Harald 3 Ford, Neville J. 3 Gesztesy, Fritz 3 Grigoriev, Roman O. 3 Guo, Jong-Shenq 3 Ha, Taeyoung 3 Herrmann, Michael 3 Homburg, Ale Jan 3 Humpherys, Jeffrey 3 Kevrekidis, Panayotis G. 3 Knobloch, Edgar 3 Kühn, Christian 3 Lam, King-Yeung 3 Lessard, Jean-Philippe 3 Li, Wan-Tong 3 Liu, Shuang 3 Lohse, Alexander 3 Lumb, Patricia M. 3 Lyng, Gregory Daniel 3 Manukian, Vahagn 3 Marzuola, Jeremy L. 3 Mohamad, Haidar 3 Monteiro, Rafael A. 3 Natali, Fábio M. Amorin 3 Nii, Shunsaku ...and 635 more Authors
all top 5

Cited in 123 Serials

 78 Journal of Differential Equations 69 Physica D 27 Journal of Dynamics and Differential Equations 27 Journal of Nonlinear Science 26 SIAM Journal on Applied Dynamical Systems 22 Archive for Rational Mechanics and Analysis 21 SIAM Journal on Mathematical Analysis 19 Nonlinearity 18 Chaos 12 Discrete and Continuous Dynamical Systems 11 Journal of Mathematical Analysis and Applications 11 Journal of Mathematical Biology 11 Discrete and Continuous Dynamical Systems. Series B 10 Dynamical Systems 9 Applied Mathematics and Computation 9 Transactions of the American Mathematical Society 9 SIAM Journal on Applied Mathematics 7 Journal de Mathématiques Pures et Appliquées. Neuvième Série 7 Communications in Nonlinear Science and Numerical Simulation 6 Journal of Fluid Mechanics 6 ZAMP. Zeitschrift für angewandte Mathematik und Physik 6 Journal of Functional Analysis 6 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 6 Discrete and Continuous Dynamical Systems. Series S 5 Computers & Mathematics with Applications 5 Quarterly of Applied Mathematics 5 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 4 Communications in Mathematical Physics 4 Journal of Mathematical Physics 4 Bulletin of Mathematical Biology 4 Advances in Mathematics 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Nonlinear Analysis. Real World Applications 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Communications on Pure and Applied Analysis 4 Journal of Theoretical Biology 4 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 3 Mathematical Methods in the Applied Sciences 3 Integral Equations and Operator Theory 3 Journal of Computational and Applied Mathematics 3 Applied Mathematics Letters 3 Journal of Scientific Computing 3 Calculus of Variations and Partial Differential Equations 3 Nonlinear Dynamics 3 Advances in Difference Equations 2 Communications on Pure and Applied Mathematics 2 Mathematical Biosciences 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Mathematics and Computers in Simulation 2 Mathematische Nachrichten 2 Numerical Functional Analysis and Optimization 2 Studies in Applied Mathematics 2 Mathematical and Computer Modelling 2 Japan Journal of Industrial and Applied Mathematics 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 Communications in Partial Differential Equations 2 Mathematical Problems in Engineering 2 Abstract and Applied Analysis 2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Multiscale Modeling & Simulation 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 2 Boundary Value Problems 2 GAMM-Mitteilungen 2 Proceedings of the Steklov Institute of Mathematics 2 São Paulo Journal of Mathematical Sciences 2 Science China. Mathematics 1 Applicable Analysis 1 International Journal of Control 1 Indian Journal of Pure & Applied Mathematics 1 Letters in Mathematical Physics 1 Physics Letters. A 1 Physics Reports 1 Wave Motion 1 Mathematics of Computation 1 Commentarii Mathematici Helvetici 1 Dissertationes Mathematicae 1 Indiana University Mathematics Journal 1 Inventiones Mathematicae 1 Memoirs of the American Mathematical Society 1 Numerische Mathematik 1 Systems & Control Letters 1 Zeitschrift für Analysis und ihre Anwendungen 1 Applied Mathematics and Mechanics. (English Edition) 1 European Journal of Applied Mathematics 1 Differential Geometry and its Applications 1 Numerical Algorithms 1 Applied Mathematical Modelling 1 Proceedings of the National Academy of Sciences of the United States of America 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Indagationes Mathematicae. New Series 1 Continuum Mechanics and Thermodynamics 1 Communications in Numerical Methods in Engineering 1 Physics of Fluids 1 Journal of Mathematical Sciences (New York) 1 Electronic Journal of Differential Equations (EJDE) 1 Computational and Applied Mathematics 1 Advances in Computational Mathematics 1 Opuscula Mathematica 1 Journal of Difference Equations and Applications 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik ...and 23 more Serials
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Cited in 31 Fields

 462 Partial differential equations (35-XX) 181 Dynamical systems and ergodic theory (37-XX) 134 Ordinary differential equations (34-XX) 90 Biology and other natural sciences (92-XX) 66 Fluid mechanics (76-XX) 48 Numerical analysis (65-XX) 30 Operator theory (47-XX) 15 Statistical mechanics, structure of matter (82-XX) 13 Mechanics of deformable solids (74-XX) 13 Optics, electromagnetic theory (78-XX) 12 Integral equations (45-XX) 9 Quantum theory (81-XX) 8 Mechanics of particles and systems (70-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 7 Differential geometry (53-XX) 7 Global analysis, analysis on manifolds (58-XX) 6 Combinatorics (05-XX) 6 Difference and functional equations (39-XX) 5 Classical thermodynamics, heat transfer (80-XX) 4 Functional analysis (46-XX) 4 Manifolds and cell complexes (57-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Systems theory; control (93-XX) 2 Probability theory and stochastic processes (60-XX) 2 Geophysics (86-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Algebraic topology (55-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Information and communication theory, circuits (94-XX)

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