Edit Profile (opens in new tab) Scheel, Arnd Co-Author Distance Author ID: scheel.arnd Published as: Scheel, Arnd; Scheel, A. Homepage: https://www-users.cse.umn.edu/~scheel/ External Links: MGP · ORCID · Wikidata · Google Scholar · ResearchGate · dblp · GND · IdRef Awards: J.D. Crawford Prize (2009) Documents Indexed: 128 Publications since 1992, including 4 Books and 7 Additional arXiv Preprints 1 Contribution as Editor Reviewing Activity: 23 Reviews Co-Authors: 69 Co-Authors with 115 Joint Publications 1,315 Co-Co-Authors all top 5 Co-Authors 13 single-authored 30 Sandstede, Björn 11 Goh, Ryan N. 10 Haragus, Mariana 9 Avery, Montie 7 Faye, Grégory 7 Holzer, Matt 6 Pogan, Alin 5 Wu, Qiliang 5 Wulff, Claudia 3 Chossat, Pascal 3 Fiedler, Bernold 3 Jaramillo, Gabriela 3 Rademacher, Jens Diederich Michael 3 Schneider, Guido 3 Stevens, Angela 2 Carter, Paul M. 2 Clifton, Olivia 2 Doelman, Arjen 2 Gallay, Thierry 2 Kaper, Tasso J. 2 Melbourne, Ian 2 Monteiro, Rafael A. 2 Peterhof, Daniela 2 Weinburd, Jasper 2 Wright, J. Douglas 1 Anderson, Taylor 1 Ankney, N. 1 Bakker, Bente Hilde 1 Bellay, Jeremy 1 Bondurant, Ty 1 Chen, Kelly 1 de Rijk, Björn 1 Dedina, Cedric 1 Deiman, Zachary 1 Efendiev, Messoud 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 Morrissey, David E. 1 Neville, Quinton 1 Pauthier, Antoine 1 Pelinovsky, Dmitry Efimovich 1 Peterson, Jeremiah 1 Redford, Joseph 1 Samuelson, Richard 1 Siemer, Lars 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 Vo, Theodore 1 Whyte, Malindi 1 Zumbrun, Kevin R. all top 5 Serials 11 Nonlinearity 9 SIAM Journal on Applied Dynamical Systems 8 Journal of Dynamics and Differential Equations 8 Journal of Nonlinear Science 7 Journal of Differential Equations 4 Indiana University Mathematics Journal 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 Memoirs of the American Mathematical Society 3 Transactions of the American Mathematical Society 3 Discrete and Continuous Dynamical Systems 3 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 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 SIAM Journal on Numerical Analysis 2 European Journal of Applied Mathematics 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 Studies in Applied Mathematics 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 1 Communications of the American Mathematical Society all top 5 Fields 106 Partial differential equations (35-XX) 50 Dynamical systems and ergodic theory (37-XX) 24 Ordinary differential equations (34-XX) 13 Fluid mechanics (76-XX) 13 Biology and other natural sciences (92-XX) 5 Operator theory (47-XX) 5 Numerical analysis (65-XX) 5 Mechanics of particles and systems (70-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Mechanics of deformable solids (74-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) 2 Statistical mechanics, structure of matter (82-XX) 1 Algebraic topology (55-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 115 Publications have been cited 1,722 times in 795 Documents Cited by ▼ Year ▼ Absolute and convective instabilities of waves on unbounded and large bounded domains. Zbl 0963.34072 Sandstede, Björn; Scheel, Arnd 127 2000 The dynamics of modulated wave trains. Zbl 1179.35005 Doelman, Arjen; Sandstede, Björn; Scheel, Arnd; Schneider, Guido 83 2009 Computing absolute and essential spectra using continuation. Zbl 1119.65114 Rademacher, Jens D. M.; Sandstede, Björn; Scheel, Arnd 64 2007 Defects in oscillatory media: toward a classification. Zbl 1059.37062 Sandstede, Björn; Scheel, Arnd 56 2004 Exponential dichotomies for solitary-wave solutions of semilinear elliptic equations on infinite cylinders. Zbl 0908.35048 Peterhof, Daniela; Sandstede, Björn; Scheel, Arnd 50 1997 Spatio-temporal dynamics of reaction-diffusion patterns. Zbl 1082.37004 Fiedler, Bernold; Scheel, Arnd 49 2003 Corner defects in almost planar interface propagation. Zbl 1098.35085 Haragus, Mariana; Scheel, Arnd 47 2006 On the structure of spectra of modulated travelling waves. Zbl 0994.35025 Sandstede, Björn; Scheel, Arnd 41 2001 Propagation of hexagonal patterns near onset. Zbl 1044.37049 Doelman, Arjen; Sandstede, Björn; Scheel, Arnd; Schneider, Guido 41 2003 Relative morse indices, Fredholm indices, and group velocities. Zbl 1144.35410 Sandstede, Björn; Scheel, Arnd 34 2008 Diffusive mixing of periodic wave trains in reaction-diffusion systems. Zbl 1298.35108 Sandstede, Björn; Scheel, Arnd; Schneider, Guido; Uecker, Hannes 33 2012 On the stability of periodic travelling waves with large spatial period. Zbl 0994.34035 Sandstede, Björn; Scheel, Arnd 32 2001 Dynamics of spiral waves on unbounded domains using center-manifold reductions. Zbl 0888.35053 Sandstede, Björn; Scheel, Arnd; Wulff, Claudia 32 1997 Exponential dichotomies for linear non-autonomous functional differential equations of mixed type. Zbl 1047.34079 Härterich, Jörg; Sandstede, Björn; Scheel, Arnd 31 2002 Criteria for pointwise growth and their role in invasion processes. Zbl 1296.35017 Holzer, Matt; Scheel, Arnd 30 2014 Bifurcation from relative equilibria of noncompact group actions: Skew products, meanders, and drifts. Zbl 0870.58014 Fiedler, Bernold; Sandstede, Björn; Scheel, Arnd; Wulff, Claudia 30 1996 Bifurcation to spiral waves in reaction-diffusion systems. Zbl 0928.35017 Scheel, Arnd 29 1998 Bifurcations and dynamics of spiral waves. Zbl 0951.35014 Sandstede, B.; Scheel, A.; Wulff, C. 29 1999 Radially symmetric patterns of reaction-diffusion systems. Zbl 1036.35092 Scheel, Arnd 28 2003 Continuation and bifurcation of grain boundaries in the Swift-Hohenberg equation. Zbl 1434.35016 Lloyd, David J. B.; Scheel, Arnd 25 2017 Existence of pulses in excitable media with nonlocal coupling. Zbl 1304.35187 Faye, Grégory; Scheel, Arnd 25 2015 Gluing unstable fronts and backs together can produce stable pulses. Zbl 0977.34073 Sandstede, Björn; Scheel, Arnd 24 2000 Almost planar waves in anisotropic media. Zbl 1098.35086 Haragus, Mariana; Scheel, Arnd 24 2006 Evans function and blow-up methods in critical eigenvalue problems. Zbl 1068.35080 Sandstede, Björn; Scheel, Arnd 24 2004 A slow pushed front in a Lotka-Volterra competition model. Zbl 1252.35106 Holzer, Matt; Scheel, Arnd 22 2012 Accelerated fronts in a two-stage invasion process. Zbl 1292.35073 Holzer, Matt; Scheel, Arnd 21 2014 Hopf bifurcation from viscous shock waves. Zbl 1195.35043 Sandstede, Björn; Scheel, Arnd 21 2008 Transverse bifurcations of homoclinic cycles. Zbl 0892.34044 Chossat, P.; Krupa, M.; Melbourne, I.; Scheel, A. 20 1997 Spectral stability of wave trains in the Kawahara equation. Zbl 1111.35060 Haragus, Mariana; Lombardi, Eric; Scheel, Arnd 19 2006 Triggered fronts in the complex Ginzburg Landau equation. Zbl 1297.35224 Goh, Ryan; Scheel, Arnd 18 2014 Period-doubling of spiral waves and defects. Zbl 1210.37053 Sandstede, Björn; Scheel, Arnd 18 2007 Instabilities of wave trains and turing patterns in large domains. Zbl 1141.37359 Rademacher, Jens D. M.; Scheel, Arnd 18 2007 Center manifolds without a phase space. Zbl 1406.37026 Faye, Grégory; Scheel, Arnd 17 2018 Pattern-forming fronts in a Swift-Hohenberg equation with directional quenching – parallel and oblique stripes. Zbl 1395.35024 Goh, Ryan; Scheel, Arnd 16 2018 Essential instabilities of fronts: bifurcation, and bifurcation failure. Zbl 1055.37069 Sandstede, Björn; Scheel, Arnd 15 2001 Pinning and unpinning in nonlocal systems. Zbl 1356.45008 Anderson, Taylor; Faye, Grégory; Scheel, Arnd; Stauffer, David 15 2016 Small-amplitude grain boundaries of arbitrary angle in the Swift-Hohenberg equation. Zbl 1292.35040 Scheel, Arnd; Wu, Qiliang 15 2014 Fredholm properties of nonlocal differential operators via spectral flow. Zbl 1310.47067 Faye, Grégory; Scheel, Arnd 15 2014 Spinodal decomposition and coarsening fronts in the Cahn-Hilliard equation. Zbl 1377.35168 Scheel, Arnd 15 2017 Forced symmetry breaking of homoclinic cycles. Zbl 0841.58048 Sandstede, Björn; Scheel, Arnd 14 1995 Instability of spikes in the presence of conservation laws. Zbl 1233.35027 Pogan, Alin; Scheel, Arnd 14 2010 Numerical computation of solitary waves in infinite cylindrical domains. Zbl 0956.65108 Lord, Gabriel J.; Peterhof, Daniela; Sandstede, Björn; Scheel, Arnd 13 2000 Phase separation patterns from directional quenching. Zbl 1378.35031 Monteiro, Rafael; Scheel, Arnd 13 2017 Large patterns of elliptic systems in infinite cylinders. Zbl 0917.35011 Fiedler, Bernold; Scheel, Arnd; Vishik, Mark I. 12 1998 Spectral stability of modulated travelling waves bifurcation near essential instabilities. Zbl 0965.35081 Sandstede, B.; Scheel, A. 12 2000 Spatial wavenumber selection in recurrent precipitation. Zbl 1217.35022 Goh, Ryan N.; Mesuro, Samantha; Scheel, Arnd 12 2011 Characterizing the effect of boundary conditions on striped phases. Zbl 1330.35035 Morrissey, David; Scheel, Arnd 12 2015 Coarsening fronts. Zbl 1109.35116 Scheel, Arnd 11 2006 The saddle-node of nearly homogeneous wave trains in reaction-diffusion systems. Zbl 1120.35052 Rademacher, Jens D. M.; Scheel, Arnd 11 2007 Finite-wavelength stability of capillary-gravity solitary waves. Zbl 0992.35062 Haragus, Mariana; Scheel, Arnd 11 2002 Universal selection of pulled fronts. Zbl 1531.35050 Avery, Montie; Scheel, Arnd 11 2022 Growing stripes, with and without wrinkles. Zbl 1423.35156 Avery, M.; Goh, R.; Goodloe, O.; Milewski, A.; Scheel, A. 11 2019 Essential instability of pulses and bifurcations to modulated travelling waves. Zbl 0956.35065 Sandstede, B.; Scheel, A. 10 1999 Pattern formation in the wake of triggered pushed fronts. Zbl 1353.35055 Goh, Ryan; Scheel, Arnd 10 2016 Spatial Hamiltonian identities for nonlocally coupled systems. Zbl 1401.35367 Bakker, Bente; Scheel, Arnd 10 2018 Wavenumber selection via spatial parameter jump. Zbl 1402.35136 Scheel, Arnd; Weinburd, Jasper 10 2018 Exponential averaging for Hamiltonian evolution equations. Zbl 1008.37043 Matthies, Karsten; Scheel, Arnd 10 2003 Asymptotic stability of critical pulled fronts via resolvent expansions near the essential spectrum. Zbl 1462.35058 Avery, Montie; Scheel, Arnd 10 2021 Grain boundaries in the Swift-Hohenberg equation. Zbl 1257.35150 Haragus, Mariana; Scheel, Arnd 10 2012 Linear spreading speeds from nonlinear resonant interaction. Zbl 1386.35203 Faye, Grégory; Holzer, Matt; Scheel, Arnd 10 2017 Deformation of striped patterns by inhomogeneities. Zbl 1318.35033 Jaramillo, Gabriela; Scheel, Arnd 9 2015 Linear stability and instability of ion-acoustic plasma solitary waves. Zbl 1001.76038 Haragus, Mariana; Scheel, Arnd 9 2002 Coherent structures generated by inhomogeneities in oscillatory media. Zbl 1210.37052 Kollár, Richard; Scheel, Arnd 9 2007 A bifurcation approach to non-planar traveling waves in reaction-diffusion systems. Zbl 1133.35385 Haragus, Mariana; Scheel, Arnd 9 2007 Existence of fast traveling waves for some parabolic equations: A dynamical systems approach. Zbl 0878.35057 Scheel, Arnd 9 1996 Center-manifold reduction for spiral waves. Zbl 0879.35079 Sandstede, Björn; Scheel, Arnd; Wulff, Claudia 9 1997 The effect of impurities on striped phases. Zbl 1454.35028 Jaramillo, Gabriela; Scheel, Arnd; Wu, Qiliang 8 2019 Solitary waves and their linear stability in weakly coupled KdV equations. Zbl 1119.76009 Wright, J. Douglas; Scheel, Arnd 8 2007 Interfaces between rolls in the Swift-Hohenberg equation. Zbl 1169.35032 Haragus, Mariana; Scheel, Arnd 8 2007 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 7 1992 Hopf bifurcation from fronts in the Cahn-Hilliard equation. Zbl 1317.35197 Goh, Ryan; Scheel, Arnd 7 2015 Diffusive stability of oscillations in reaction-diffusion systems. Zbl 1227.35056 Gallay, Thierry; Scheel, Arnd 7 2011 Basin boundaries and bifurcations near convective instabilities: a case study. Zbl 1065.35054 Sandstede, Björn; Scheel, Arnd 7 2005 Colliding dissipative pulses – the shooting manifold. Zbl 1146.35013 Scheel, Arnd; Wright, J. Douglas 7 2008 Wavenumber selection in coupled transport equations. Zbl 1387.92064 Scheel, Arnd; Stevens, Angela 7 2017 Wave train selection by invasion fronts in the Fitzhugh-Nagumo equation. Zbl 1406.35027 Carter, Paul; Scheel, Arnd 6 2018 Dislocations in an anisotropic Swift-Hohenberg equation. Zbl 1253.35182 Haragus, Mariana; Scheel, Arnd 6 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 6 2012 Lattice differential equations embedded into reaction-diffusion systems. Zbl 1173.35550 Scheel, Arnd; van Vleck, Erik S. 5 2009 Pushed-to-pulled front transitions: continuation, speed scalings, and hidden monotonicty. Zbl 1526.35037 Avery, Montie; Holzer, Matt; Scheel, Arnd 5 2023 Contact angle selection for interfaces in growing domains. Zbl 07776890 Monteiro, Rafael; Scheel, Arnd 5 2018 Quasi-gradient systems, modulational dichotomies, and stability of spatially periodic patterns. Zbl 1289.35030 Pogan, Alin; Scheel, Arnd; Zumbrun, Kevin 5 2013 Dynamical behavior of patterns with Euclidean symmetry. Zbl 0966.35064 Sandstede, Björn; Scheel, Arnd; Wulff, Claudia 4 1999 Diffusive stability of Turing patterns via normal forms. Zbl 1375.35242 Scheel, Arnd; Wu, Qiliang 4 2015 Layers in the presence of conservation laws. Zbl 1260.37051 Pogan, Alin; Scheel, Arnd 4 2012 Coherent structures near the boundary between excitable and oscillatory media. Zbl 1191.37040 Bellay, Jeremy; Scheel, Arnd 4 2010 Stability analysis of stationary light transmission in nonlinear photonic structures. Zbl 1116.78016 Pelinovsky, D. E.; Scheel, A. 4 2003 Pacemakers in large arrays of oscillators with nonlocal coupling. Zbl 1331.35045 Jaramillo, Gabriela; Scheel, Arnd 4 2016 Strain and defects in oblique stripe growth. Zbl 1471.35035 Chen, Kelly; Deiman, Zachary; Goh, Ryan; Jankovic, Sally; Scheel, Arnd 4 2021 Bifurcation to coherent structures in nonlocally coupled systems. Zbl 1420.35033 Scheel, Arnd; Tao, Tianyu 4 2019 Subcritical bifurcation to infinitely many rotating waves. Zbl 0892.34004 Scheel, Arnd 3 1997 Fredholm properties of radially symmetric, second order differential operators. Zbl 1246.47011 Pogan, Alin; Scheel, Arnd 3 2011 Instability of radially-symmetric spikes in systems with a conserved quantity. Zbl 1269.37034 Pogan, Alin; Scheel, Arnd 3 2012 Absolute instabilities of standing pulses. Zbl 1109.37053 Sandstede, Björn; Scheel, Arnd 3 2005 Robustness of Liesegang patterns. Zbl 1163.34029 Scheel, Arnd 3 2009 Spiral waves: linear and nonlinear theory. Zbl 1540.35004 Sandstede, Björn; Scheel, Arnd 3 2023 Invasion into remnant instability: a case study of front dynamics. Zbl 1512.35049 Faye, Grégory; Holzer, Matt; Scheel, Arnd; Siemer, Lars 3 2022 Growing patterns. Zbl 1522.35059 Goh, Ryan; Scheel, Arnd 2 2023 Fronts in the wake of a parameter ramp: slow passage through pitchfork and fold bifurcations. Zbl 07741159 Goh, Ryan; Kaper, Tasso J.; Scheel, Arnd; Vo, Theodore 2 2023 Advection-diffusion dynamics with nonlinear boundary flux as a model for crystal growth. Zbl 1523.35056 Pauthier, Antoine; Scheel, Arnd 2 2020 Sharp decay rates for localized perturbations to the critical front in the Ginzburg-Landau equation. Zbl 1536.35312 Avery, Montie; Scheel, Arnd 1 2024 Pushed-to-pulled front transitions: continuation, speed scalings, and hidden monotonicty. Zbl 1526.35037 Avery, Montie; Holzer, Matt; Scheel, Arnd 5 2023 Spiral waves: linear and nonlinear theory. Zbl 1540.35004 Sandstede, Björn; Scheel, Arnd 3 2023 Growing patterns. Zbl 1522.35059 Goh, Ryan; Scheel, Arnd 2 2023 Fronts in the wake of a parameter ramp: slow passage through pitchfork and fold bifurcations. Zbl 07741159 Goh, Ryan; Kaper, Tasso J.; Scheel, Arnd; Vo, Theodore 2 2023 Nonlinear eigenvalue methods for linear pointwise stability of nonlinear waves. Zbl 1510.65101 Scheel, Arnd 1 2023 Universal selection of pulled fronts. Zbl 1531.35050 Avery, Montie; Scheel, Arnd 11 2022 Invasion into remnant instability: a case study of front dynamics. Zbl 1512.35049 Faye, Grégory; Holzer, Matt; Scheel, Arnd; Siemer, Lars 3 2022 Asymptotic stability of critical pulled fronts via resolvent expansions near the essential spectrum. Zbl 1462.35058 Avery, Montie; Scheel, Arnd 10 2021 Strain and defects in oblique stripe growth. Zbl 1471.35035 Chen, Kelly; Deiman, Zachary; Goh, Ryan; Jankovic, Sally; Scheel, Arnd 4 2021 Signaling gradients in surface dynamics as basis for planarian regeneration. Zbl 1467.92037 Scheel, Arnd; Stevens, Angela; Tenbrock, Christoph 1 2021 Instability in large bounded domains – branched versus unbranched resonances. Zbl 1487.37089 Avery, Montie; Dedina, Cedric; Smith, Aislinn; Scheel, Arnd 1 2021 Advection-diffusion dynamics with nonlinear boundary flux as a model for crystal growth. Zbl 1523.35056 Pauthier, Antoine; Scheel, Arnd 2 2020 Growing stripes, with and without wrinkles. Zbl 1423.35156 Avery, M.; Goh, R.; Goodloe, O.; Milewski, A.; Scheel, A. 11 2019 The effect of impurities on striped phases. Zbl 1454.35028 Jaramillo, Gabriela; Scheel, Arnd; Wu, Qiliang 8 2019 Bifurcation to coherent structures in nonlocally coupled systems. Zbl 1420.35033 Scheel, Arnd; Tao, Tianyu 4 2019 Pinning and depinning: from periodic to chaotic and random media. Zbl 1442.37093 Ankney, N.; Avery, M.; Khain, T.; Scheel, A. 1 2019 Global phase diagrams of run-and-tumble dynamics: equidistribution, waves, and blowup. Zbl 1415.92151 Kang, Kyungkeun; Scheel, Arnd; Stevens, Angela 1 2019 Advection and autocatalysis as organizing principles for banded vegetation patterns. Zbl 1416.35282 Samuelson, Richard; Singer, Zachary; Weinburd, Jasper; Scheel, Arnd 1 2019 Center manifolds without a phase space. Zbl 1406.37026 Faye, Grégory; Scheel, Arnd 17 2018 Pattern-forming fronts in a Swift-Hohenberg equation with directional quenching – parallel and oblique stripes. Zbl 1395.35024 Goh, Ryan; Scheel, Arnd 16 2018 Spatial Hamiltonian identities for nonlocally coupled systems. Zbl 1401.35367 Bakker, Bente; Scheel, Arnd 10 2018 Wavenumber selection via spatial parameter jump. Zbl 1402.35136 Scheel, Arnd; Weinburd, Jasper 10 2018 Wave train selection by invasion fronts in the Fitzhugh-Nagumo equation. Zbl 1406.35027 Carter, Paul; Scheel, Arnd 6 2018 Contact angle selection for interfaces in growing domains. Zbl 07776890 Monteiro, Rafael; Scheel, Arnd 5 2018 Continuation and bifurcation of grain boundaries in the Swift-Hohenberg equation. Zbl 1434.35016 Lloyd, David J. B.; Scheel, Arnd 25 2017 Spinodal decomposition and coarsening fronts in the Cahn-Hilliard equation. Zbl 1377.35168 Scheel, Arnd 15 2017 Phase separation patterns from directional quenching. Zbl 1378.35031 Monteiro, Rafael; Scheel, Arnd 13 2017 Linear spreading speeds from nonlinear resonant interaction. Zbl 1386.35203 Faye, Grégory; Holzer, Matt; Scheel, Arnd 10 2017 Wavenumber selection in coupled transport equations. Zbl 1387.92064 Scheel, Arnd; Stevens, Angela 7 2017 Traveling fronts bifurcating from stable layers in the presence of conservation laws. Zbl 1360.37171 Pogan, Alin; Scheel, Arnd 1 2017 Patterns of dynamics. In honour of Bernold Fiedler’s 60th birthday, Berlin, Germany, July 25–29, 2016. Zbl 1388.93001 1 2017 Pinning and unpinning in nonlocal systems. Zbl 1356.45008 Anderson, Taylor; Faye, Grégory; Scheel, Arnd; Stauffer, David 15 2016 Pattern formation in the wake of triggered pushed fronts. Zbl 1353.35055 Goh, Ryan; Scheel, Arnd 10 2016 Pacemakers in large arrays of oscillators with nonlocal coupling. Zbl 1331.35045 Jaramillo, Gabriela; Scheel, Arnd 4 2016 Existence of pulses in excitable media with nonlocal coupling. Zbl 1304.35187 Faye, Grégory; Scheel, Arnd 25 2015 Characterizing the effect of boundary conditions on striped phases. Zbl 1330.35035 Morrissey, David; Scheel, Arnd 12 2015 Deformation of striped patterns by inhomogeneities. Zbl 1318.35033 Jaramillo, Gabriela; Scheel, Arnd 9 2015 Hopf bifurcation from fronts in the Cahn-Hilliard equation. Zbl 1317.35197 Goh, Ryan; Scheel, Arnd 7 2015 Diffusive stability of Turing patterns via normal forms. Zbl 1375.35242 Scheel, Arnd; Wu, Qiliang 4 2015 Criteria for pointwise growth and their role in invasion processes. Zbl 1296.35017 Holzer, Matt; Scheel, Arnd 30 2014 Accelerated fronts in a two-stage invasion process. Zbl 1292.35073 Holzer, Matt; Scheel, Arnd 21 2014 Triggered fronts in the complex Ginzburg Landau equation. Zbl 1297.35224 Goh, Ryan; Scheel, Arnd 18 2014 Small-amplitude grain boundaries of arbitrary angle in the Swift-Hohenberg equation. Zbl 1292.35040 Scheel, Arnd; Wu, Qiliang 15 2014 Fredholm properties of nonlocal differential operators via spectral flow. Zbl 1310.47067 Faye, Grégory; Scheel, Arnd 15 2014 Quasi-gradient systems, modulational dichotomies, and stability of spatially periodic patterns. Zbl 1289.35030 Pogan, Alin; Scheel, Arnd; Zumbrun, Kevin 5 2013 Diffusive mixing of periodic wave trains in reaction-diffusion systems. Zbl 1298.35108 Sandstede, Björn; Scheel, Arnd; Schneider, Guido; Uecker, Hannes 33 2012 A slow pushed front in a Lotka-Volterra competition model. Zbl 1252.35106 Holzer, Matt; Scheel, Arnd 22 2012 Grain boundaries in the Swift-Hohenberg equation. Zbl 1257.35150 Haragus, Mariana; Scheel, Arnd 10 2012 Dislocations in an anisotropic Swift-Hohenberg equation. Zbl 1253.35182 Haragus, Mariana; Scheel, Arnd 6 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 6 2012 Layers in the presence of conservation laws. Zbl 1260.37051 Pogan, Alin; Scheel, Arnd 4 2012 Instability of radially-symmetric spikes in systems with a conserved quantity. Zbl 1269.37034 Pogan, Alin; Scheel, Arnd 3 2012 Spatial wavenumber selection in recurrent precipitation. Zbl 1217.35022 Goh, Ryan N.; Mesuro, Samantha; Scheel, Arnd 12 2011 Diffusive stability of oscillations in reaction-diffusion systems. Zbl 1227.35056 Gallay, Thierry; Scheel, Arnd 7 2011 Fredholm properties of radially symmetric, second order differential operators. Zbl 1246.47011 Pogan, Alin; Scheel, Arnd 3 2011 Instability of spikes in the presence of conservation laws. Zbl 1233.35027 Pogan, Alin; Scheel, Arnd 14 2010 Coherent structures near the boundary between excitable and oscillatory media. Zbl 1191.37040 Bellay, Jeremy; Scheel, Arnd 4 2010 The dynamics of modulated wave trains. Zbl 1179.35005 Doelman, Arjen; Sandstede, Björn; Scheel, Arnd; Schneider, Guido 83 2009 Lattice differential equations embedded into reaction-diffusion systems. Zbl 1173.35550 Scheel, Arnd; van Vleck, Erik S. 5 2009 Robustness of Liesegang patterns. Zbl 1163.34029 Scheel, Arnd 3 2009 Relative morse indices, Fredholm indices, and group velocities. Zbl 1144.35410 Sandstede, Björn; Scheel, Arnd 34 2008 Hopf bifurcation from viscous shock waves. Zbl 1195.35043 Sandstede, Björn; Scheel, Arnd 21 2008 Colliding dissipative pulses – the shooting manifold. Zbl 1146.35013 Scheel, Arnd; Wright, J. Douglas 7 2008 Computing absolute and essential spectra using continuation. Zbl 1119.65114 Rademacher, Jens D. M.; Sandstede, Björn; Scheel, Arnd 64 2007 Period-doubling of spiral waves and defects. Zbl 1210.37053 Sandstede, Björn; Scheel, Arnd 18 2007 Instabilities of wave trains and turing patterns in large domains. Zbl 1141.37359 Rademacher, Jens D. M.; Scheel, Arnd 18 2007 The saddle-node of nearly homogeneous wave trains in reaction-diffusion systems. Zbl 1120.35052 Rademacher, Jens D. M.; Scheel, Arnd 11 2007 Coherent structures generated by inhomogeneities in oscillatory media. Zbl 1210.37052 Kollár, Richard; Scheel, Arnd 9 2007 A bifurcation approach to non-planar traveling waves in reaction-diffusion systems. Zbl 1133.35385 Haragus, Mariana; Scheel, Arnd 9 2007 Solitary waves and their linear stability in weakly coupled KdV equations. Zbl 1119.76009 Wright, J. Douglas; Scheel, Arnd 8 2007 Interfaces between rolls in the Swift-Hohenberg equation. Zbl 1169.35032 Haragus, Mariana; Scheel, Arnd 8 2007 Stable viscous shocks in elliptic conservation laws. Zbl 1128.35033 Haragus, Mariana; Scheel, Arnd 1 2007 Corner defects in almost planar interface propagation. Zbl 1098.35085 Haragus, Mariana; Scheel, Arnd 47 2006 Almost planar waves in anisotropic media. Zbl 1098.35086 Haragus, Mariana; Scheel, Arnd 24 2006 Spectral stability of wave trains in the Kawahara equation. Zbl 1111.35060 Haragus, Mariana; Lombardi, Eric; Scheel, Arnd 19 2006 Coarsening fronts. Zbl 1109.35116 Scheel, Arnd 11 2006 Basin boundaries and bifurcations near convective instabilities: a case study. Zbl 1065.35054 Sandstede, Björn; Scheel, Arnd 7 2005 Absolute instabilities of standing pulses. Zbl 1109.37053 Sandstede, Björn; Scheel, Arnd 3 2005 Defects in oscillatory media: toward a classification. Zbl 1059.37062 Sandstede, Björn; Scheel, Arnd 56 2004 Evans function and blow-up methods in critical eigenvalue problems. Zbl 1068.35080 Sandstede, Björn; Scheel, Arnd 24 2004 Spatio-temporal dynamics of reaction-diffusion patterns. Zbl 1082.37004 Fiedler, Bernold; Scheel, Arnd 49 2003 Propagation of hexagonal patterns near onset. Zbl 1044.37049 Doelman, Arjen; Sandstede, Björn; Scheel, Arnd; Schneider, Guido 41 2003 Radially symmetric patterns of reaction-diffusion systems. Zbl 1036.35092 Scheel, Arnd 28 2003 Exponential averaging for Hamiltonian evolution equations. Zbl 1008.37043 Matthies, Karsten; Scheel, Arnd 10 2003 Stability analysis of stationary light transmission in nonlinear photonic structures. Zbl 1116.78016 Pelinovsky, D. E.; Scheel, A. 4 2003 Exponential dichotomies for linear non-autonomous functional differential equations of mixed type. Zbl 1047.34079 Härterich, Jörg; Sandstede, Björn; Scheel, Arnd 31 2002 Finite-wavelength stability of capillary-gravity solitary waves. Zbl 0992.35062 Haragus, Mariana; Scheel, Arnd 11 2002 Linear stability and instability of ion-acoustic plasma solitary waves. Zbl 1001.76038 Haragus, Mariana; Scheel, Arnd 9 2002 On the structure of spectra of modulated travelling waves. Zbl 0994.35025 Sandstede, Björn; Scheel, Arnd 41 2001 On the stability of periodic travelling waves with large spatial period. Zbl 0994.34035 Sandstede, Björn; Scheel, Arnd 32 2001 Essential instabilities of fronts: bifurcation, and bifurcation failure. Zbl 1055.37069 Sandstede, Björn; Scheel, Arnd 15 2001 Absolute and convective instabilities of waves on unbounded and large bounded domains. Zbl 0963.34072 Sandstede, Björn; Scheel, Arnd 127 2000 Gluing unstable fronts and backs together can produce stable pulses. Zbl 0977.34073 Sandstede, Björn; Scheel, Arnd 24 2000 Numerical computation of solitary waves in infinite cylindrical domains. Zbl 0956.65108 Lord, Gabriel J.; Peterhof, Daniela; Sandstede, Björn; Scheel, Arnd 13 2000 Spectral stability of modulated travelling waves bifurcation near essential instabilities. Zbl 0965.35081 Sandstede, B.; Scheel, A. 12 2000 Bifurcations and dynamics of spiral waves. Zbl 0951.35014 Sandstede, B.; Scheel, A.; Wulff, C. 29 1999 Essential instability of pulses and bifurcations to modulated travelling waves. Zbl 0956.35065 Sandstede, B.; Scheel, A. 10 1999 Dynamical behavior of patterns with Euclidean symmetry. Zbl 0966.35064 Sandstede, Björn; Scheel, Arnd; Wulff, Claudia 4 1999 Magnetic dynamos in rotating convection – a dynamical systems approach. Zbl 0939.35020 Chossat, P.; Krupa, M.; Melbourne, I.; Scheel, A. 1 1999 ...and 15 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 933 Authors 69 Scheel, Arnd 37 Sandstede, Björn 36 Zumbrun, Kevin R. 21 Sherratt, Jonathan A. 19 Rademacher, Jens Diederich Michael 17 Faye, Grégory 16 Johnson, Mathew A. 16 Wang, Zhicheng 15 Holzer, Matt 15 Latushkin, Yuri 14 Fiedler, Bernold 14 Haragus, Mariana 14 Hupkes, Hermen Jan 14 Rodrigues, Luis Miguel 13 Schneider, Guido 12 de Rijk, Björn 11 Doelman, Arjen 11 Goh, Ryan N. 11 Rocha, Carlos 10 Lloyd, David J. B. 9 Avery, Montie 9 Beck, Margaret 9 Jones, Christopher K. R. T. 9 Noble, Pascal 9 Pogan, Alin 9 Sheng, WeiJie 9 van Heijster, Peter 8 Barker, Blake 8 Bramburger, Jason J. 8 Carter, Paul M. 8 Hamel, François 8 Jung, Soyeun 8 Melbourne, Ian 8 Postlethwaite, Claire M. 8 Sukhtayev, Alim 8 Van Vleck, Erik S. 8 Wulff, Claudia 7 Ashwin, Peter 7 Bridges, Thomas J. 7 Bu, Zhenhui 7 Deconinck, Bernard 7 Jaramillo, Gabriela 7 Marangell, Robert 6 Beyn, Wolf-Jürgen 6 Kapitula, Todd M. 6 Lamb, Jeroen S. W. 6 Promislow, Keith Steven 6 Ruan, Shigui 6 van den Berg, Jan Bouwe 6 Wheeler, Miles H. 5 Cox, Graham 5 Düll, Wolf-Patrick 5 Gani, M. Osman 5 Ghazaryan, Anna 5 Kevrekidis, Panayotis G. 5 Kühn, Christian 5 Lam, King-Yeung 5 LeBlanc, Victor G. 5 Matthies, Karsten 5 Ogawa, Toshiyuki 5 Rucklidge, Alastair M. 5 Smith, Matthew J. 5 Wahlén, Erik 5 Zelik, Sergey V. 4 Bennett, Jamie J. R. 4 Champneys, Alan R. 4 Derks, Gianne 4 Engel, Harald 4 Henderson, Christopher 4 Hill, Dan J. 4 Howard, Peter 4 Kalliadasis, Serafim 4 Kaper, Tasso J. 4 Knobloch, Edgar 4 Li, Wan-Tong 4 Lin, Xiaobiao 4 Magal, Pierre 4 Manukian, Vahagn 4 Monteiro, Rafael A. 4 Narahara, Koichi 4 Plaza, Ramón G. 4 Poláčik, Peter 4 Ratliff, Daniel J. 4 Schouten-Straatman, Willem M. 4 Szmolyan, Peter 4 Taniguchi, Masaharu 4 Tsai, Je-Chiang 4 Tseluiko, Dmitri 4 Uecker, Hannes 4 Valdebenito, Darío A. 4 Wechselberger, Martin 4 Wu, Qiliang 3 Bae, Junsik 3 Bakker, Bente Hilde 3 Berestycki, Henri 3 Castro, Sofia B. S. D. 3 Chen, Chaonien 3 Chen, Xinfu 3 Chirilus-Bruckner, Martina 3 Choi, Yuncherl ...and 833 more Authors all top 5 Cited in 148 Serials 86 Journal of Differential Equations 79 Physica D 36 SIAM Journal on Applied Dynamical Systems 35 Nonlinearity 34 Journal of Dynamics and Differential Equations 33 Journal of Nonlinear Science 27 Archive for Rational Mechanics and Analysis 25 Chaos 24 SIAM Journal on Mathematical Analysis 15 Journal of Mathematical Biology 13 Discrete and Continuous Dynamical Systems 13 Communications in Nonlinear Science and Numerical Simulation 13 Discrete and Continuous Dynamical Systems. Series B 13 Discrete and Continuous Dynamical Systems. Series S 11 Journal of Mathematical Analysis and Applications 11 SIAM Journal on Applied Mathematics 11 Dynamical Systems 10 Transactions of the American Mathematical Society 9 ZAMP. Zeitschrift für angewandte Mathematik und Physik 9 Applied Mathematics and Computation 9 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 9 Journal de Mathématiques Pures et Appliquées. Neuvième Série 8 Bulletin of Mathematical Biology 7 Journal of Functional Analysis 6 Journal of Fluid Mechanics 6 Studies in Applied Mathematics 6 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 5 Computers & Mathematics with Applications 5 Communications in Mathematical Physics 5 Journal of Mathematical Physics 5 Mathematical Methods in the Applied Sciences 5 Physics Letters. A 5 Quarterly of Applied Mathematics 5 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 5 Calculus of Variations and Partial Differential Equations 5 Nonlinear Analysis. Real World Applications 5 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 4 Advances in Mathematics 4 Indiana University Mathematics Journal 4 Mathematics and Computers in Simulation 4 Mathematische Nachrichten 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Japan Journal of Industrial and Applied Mathematics 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Communications on Pure and Applied Analysis 4 Journal of Theoretical Biology 3 Communications on Pure and Applied Mathematics 3 Integral Equations and Operator Theory 3 Journal of Computational and Applied Mathematics 3 Applied Mathematics Letters 3 Journal of Scientific Computing 3 Nonlinear Dynamics 3 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 3 Advances in Difference Equations 3 Oberwolfach Reports 3 Proceedings of the Steklov Institute of Mathematics 2 Mathematical Biosciences 2 Wave Motion 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Memoirs of the American Mathematical Society 2 Numerical Functional Analysis and Optimization 2 Bulletin of the Korean Mathematical Society 2 Mathematical and Computer Modelling 2 Communications in Partial Differential Equations 2 Electronic Journal of Differential Equations (EJDE) 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 Mathematical Biosciences and Engineering 2 Boundary Value Problems 2 GAMM-Mitteilungen 2 São Paulo Journal of Mathematical Sciences 2 Science China. Mathematics 1 International Journal of Modern Physics B 1 Applicable Analysis 1 International Journal of Control 1 Indian Journal of Pure & Applied Mathematics 1 Journal of Computational Physics 1 Journal of Statistical Physics 1 Letters in Mathematical Physics 1 Physica A 1 Physics Reports 1 Russian Mathematical Surveys 1 Mathematics of Computation 1 Bulletin de la Société Mathématique de France 1 Commentarii Mathematici Helvetici 1 Dissertationes Mathematicae 1 Inventiones Mathematicae 1 Journal of the London Mathematical Society. Second Series 1 Mathematische Annalen 1 Numerische Mathematik 1 Proceedings of the American Mathematical Society 1 Proceedings of the London Mathematical Society. Third Series 1 SIAM Journal on Numerical Analysis 1 Systems & Control Letters 1 Zeitschrift für Analysis und ihre Anwendungen 1 Applied Mathematics and Mechanics. (English Edition) 1 Numerical Methods for Partial Differential Equations ...and 48 more Serials all top 5 Cited in 35 Fields 613 Partial differential equations (35-XX) 225 Dynamical systems and ergodic theory (37-XX) 164 Ordinary differential equations (34-XX) 130 Biology and other natural sciences (92-XX) 84 Fluid mechanics (76-XX) 53 Numerical analysis (65-XX) 35 Operator theory (47-XX) 20 Statistical mechanics, structure of matter (82-XX) 19 Optics, electromagnetic theory (78-XX) 18 Mechanics of deformable solids (74-XX) 16 Integral equations (45-XX) 10 Mechanics of particles and systems (70-XX) 10 Classical thermodynamics, heat transfer (80-XX) 10 Quantum theory (81-XX) 9 Probability theory and stochastic processes (60-XX) 8 Difference and functional equations (39-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 8 Differential geometry (53-XX) 8 Global analysis, analysis on manifolds (58-XX) 7 Combinatorics (05-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Systems theory; control (93-XX) 5 Functional analysis (46-XX) 4 Manifolds and cell complexes (57-XX) 3 General and overarching topics; collections (00-XX) 3 Computer science (68-XX) 3 Geophysics (86-XX) 2 Real functions (26-XX) 2 Approximations and expansions (41-XX) 2 Statistics (62-XX) 1 Topological groups, Lie groups (22-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Algebraic topology (55-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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