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 · Wikidata · GND · IdRef Documents Indexed: 117 Publications since 1992, including 4 Books 1 Contribution as Editor Reviewing Activity: 23 Reviews Co-Authors: 65 Co-Authors with 105 Joint Publications 1,212 Co-Co-Authors all top 5 Co-Authors 13 single-authored 30 Sandstede, Björn 10 Goh, Ryan N. 10 Haragus, Mariana 6 Avery, Montie 6 Faye, Grégory 6 Holzer, Matt 6 Pogan, Alin 5 Wulff, Claudia 4 Wu, Qiliang 3 Chossat, Pascal 3 Fiedler, Bernold 3 Jaramillo, Gabriela 3 Rademacher, Jens Diederich Michael 3 Schneider, Guido 3 Stevens, Angela 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 Hilde 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 Kaper, Tasso J. 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 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 Zumbrun, Kevin R. all top 5 Serials 11 Nonlinearity 8 Journal of Nonlinear Science 8 SIAM Journal on Applied Dynamical Systems 7 Journal of Differential Equations 7 Journal of Dynamics and 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 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 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 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 102 Partial differential equations (35-XX) 49 Dynamical systems and ergodic theory (37-XX) 23 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 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 105 Publications have been cited 1,477 times in 704 Documents Cited by ▼ Year ▼ Absolute and convective instabilities of waves on unbounded and large bounded domains. Zbl 0963.34072Sandstede, Björn; Scheel, Arnd 120 2000 The dynamics of modulated wave trains. Zbl 1179.35005Doelman, Arjen; Sandstede, Björn; Scheel, Arnd; Schneider, Guido 67 2009 Computing absolute and essential spectra using continuation. Zbl 1119.65114Rademacher, Jens D. M.; Sandstede, Björn; Scheel, Arnd 58 2007 Defects in oscillatory media: toward a classification. Zbl 1059.37062Sandstede, Björn; Scheel, Arnd 51 2004 Exponential dichotomies for solitary-wave solutions of semilinear elliptic equations on infinite cylinders. Zbl 0908.35048Peterhof, Daniela; Sandstede, Björn; Scheel, Arnd 49 1997 Corner defects in almost planar interface propagation. Zbl 1098.35085Haragus, Mariana; Scheel, Arnd 42 2006 Spatio-temporal dynamics of reaction-diffusion patterns. Zbl 1082.37004Fiedler, Bernold; Scheel, Arnd 41 2003 On the structure of spectra of modulated travelling waves. Zbl 0994.35025Sandstede, Björn; Scheel, Arnd 38 2001 Propagation of hexagonal patterns near onset. Zbl 1044.37049Doelman, Arjen; Sandstede, Björn; Scheel, Arnd; Schneider, Guido 37 2003 Dynamics of spiral waves on unbounded domains using center-manifold reductions. Zbl 0888.35053Sandstede, Björn; Scheel, Arnd; Wulff, Claudia 30 1997 Relative morse indices, Fredholm indices, and group velocities. Zbl 1144.35410Sandstede, Björn; Scheel, Arnd 29 2008 Bifurcation from relative equilibria of noncompact group actions: Skew products, meanders, and drifts. Zbl 0870.58014Fiedler, Bernold; Sandstede, Björn; Scheel, Arnd; Wulff, Claudia 29 1996 On the stability of periodic travelling waves with large spatial period. Zbl 0994.34035Sandstede, Björn; Scheel, Arnd 28 2001 Exponential dichotomies for linear non-autonomous functional differential equations of mixed type. Zbl 1047.34079Härterich, Jörg; Sandstede, Björn; Scheel, Arnd 28 2002 Diffusive mixing of periodic wave trains in reaction-diffusion systems. Zbl 1298.35108Sandstede, Björn; Scheel, Arnd; Schneider, Guido; Uecker, Hannes 27 2012 Bifurcation to spiral waves in reaction-diffusion systems. Zbl 0928.35017Scheel, Arnd 25 1998 Bifurcations and dynamics of spiral waves. Zbl 0951.35014Sandstede, B.; Scheel, A.; Wulff, C. 24 1999 Criteria for pointwise growth and their role in invasion processes. Zbl 1296.35017Holzer, Matt; Scheel, Arnd 24 2014 Gluing unstable fronts and backs together can produce stable pulses. Zbl 0977.34073Sandstede, Björn; Scheel, Arnd 23 2000 Existence of pulses in excitable media with nonlocal coupling. Zbl 1304.35187Faye, Grégory; Scheel, Arnd 23 2015 Radially symmetric patterns of reaction-diffusion systems. Zbl 1036.35092Scheel, Arnd 23 2003 Evans function and blow-up methods in critical eigenvalue problems. Zbl 1068.35080Sandstede, Björn; Scheel, Arnd 22 2004 Almost planar waves in anisotropic media. Zbl 1098.35086Haragus, Mariana; Scheel, Arnd 22 2006 Hopf bifurcation from viscous shock waves. Zbl 1195.35043Sandstede, Björn; Scheel, Arnd 21 2008 A slow pushed front in a Lotka-Volterra competition model. Zbl 1252.35106Holzer, Matt; Scheel, Arnd 21 2012 Continuation and bifurcation of grain boundaries in the Swift-Hohenberg equation. Zbl 1434.35016Lloyd, David J. B.; Scheel, Arnd 20 2017 Transverse bifurcations of homoclinic cycles. Zbl 0892.34044Chossat, P.; Krupa, M.; Melbourne, I.; Scheel, A. 19 1997 Accelerated fronts in a two-stage invasion process. Zbl 1292.35073Holzer, Matt; Scheel, Arnd 19 2014 Instabilities of wave trains and turing patterns in large domains. Zbl 1141.37359Rademacher, Jens D. M.; Scheel, Arnd 18 2007 Spectral stability of wave trains in the Kawahara equation. Zbl 1111.35060Haragus, Mariana; Lombardi, Eric; Scheel, Arnd 16 2006 Essential instabilities of fronts: bifurcation, and bifurcation failure. Zbl 1055.37069Sandstede, Björn; Scheel, Arnd 14 2001 Triggered fronts in the complex Ginzburg Landau equation. Zbl 1297.35224Goh, Ryan; Scheel, Arnd 14 2014 Instability of spikes in the presence of conservation laws. Zbl 1233.35027Pogan, Alin; Scheel, Arnd 13 2010 Forced symmetry breaking of homoclinic cycles. Zbl 0841.58048Sandstede, Björn; Scheel, Arnd 13 1995 Period-doubling of spiral waves and defects. Zbl 1210.37053Sandstede, Björn; Scheel, Arnd 13 2007 Pinning and unpinning in nonlocal systems. Zbl 1356.45008Anderson, Taylor; Faye, Grégory; Scheel, Arnd; Stauffer, David 13 2016 Numerical computation of solitary waves in infinite cylindrical domains. Zbl 0956.65108Lord, Gabriel J.; Peterhof, Daniela; Sandstede, Björn; Scheel, Arnd 12 2000 Spectral stability of modulated travelling waves bifurcation near essential instabilities. Zbl 0965.35081Sandstede, B.; Scheel, A. 12 2000 Fredholm properties of nonlocal differential operators via spectral flow. Zbl 1310.47067Faye, Grégory; Scheel, Arnd 12 2014 Spinodal decomposition and coarsening fronts in the Cahn-Hilliard equation. Zbl 1377.35168Scheel, Arnd 12 2017 Small-amplitude grain boundaries of arbitrary angle in the Swift-Hohenberg equation. Zbl 1292.35040Scheel, Arnd; Wu, Qiliang 11 2014 Spatial wavenumber selection in recurrent precipitation. Zbl 1217.35022Goh, Ryan N.; Mesuro, Samantha; Scheel, Arnd 11 2011 Pattern-forming fronts in a Swift-Hohenberg equation with directional quenching – parallel and oblique stripes. Zbl 1395.35024Goh, Ryan; Scheel, Arnd 11 2018 Finite-wavelength stability of capillary-gravity solitary waves. Zbl 0992.35062Haragus, Mariana; Scheel, Arnd 10 2002 Center manifolds without a phase space. Zbl 1406.37026Faye, Grégory; Scheel, Arnd 10 2018 Phase separation patterns from directional quenching. Zbl 1378.35031Monteiro, Rafael; Scheel, Arnd 10 2017 Coarsening fronts. Zbl 1109.35116Scheel, Arnd 9 2006 Exponential averaging for Hamiltonian evolution equations. Zbl 1008.37043Matthies, Karsten; Scheel, Arnd 9 2003 Large patterns of elliptic systems in infinite cylinders. Zbl 0917.35011Fiedler, Bernold; Scheel, Arnd; Vishik, Mark I. 9 1998 A bifurcation approach to non-planar traveling waves in reaction-diffusion systems. Zbl 1133.35385Haragus, Mariana; Scheel, Arnd 9 2007 Essential instability of pulses and bifurcations to modulated travelling waves. Zbl 0956.35065Sandstede, B.; Scheel, A. 9 1999 Deformation of striped patterns by inhomogeneities. Zbl 1318.35033Jaramillo, Gabriela; Scheel, Arnd 9 2015 Linear spreading speeds from nonlinear resonant interaction. Zbl 1386.35203Faye, Grégory; Holzer, Matt; Scheel, Arnd 9 2017 Pattern formation in the wake of triggered pushed fronts. Zbl 1353.35055Goh, Ryan; Scheel, Arnd 9 2016 Characterizing the effect of boundary conditions on striped phases. Zbl 1330.35035Morrissey, David; Scheel, Arnd 9 2015 Linear stability and instability of ion-acoustic plasma solitary waves. Zbl 1001.76038Haragus, Mariana; Scheel, Arnd 8 2002 Grain boundaries in the Swift-Hohenberg equation. Zbl 1257.35150Haragus, Mariana; Scheel, Arnd 8 2012 The saddle-node of nearly homogeneous wave trains in reaction-diffusion systems. Zbl 1120.35052Rademacher, Jens D. M.; Scheel, Arnd 8 2007 Center-manifold reduction for spiral waves. Zbl 0879.35079Sandstede, Björn; Scheel, Arnd; Wulff, Claudia 8 1997 Basin boundaries and bifurcations near convective instabilities: a case study. Zbl 1065.35054Sandstede, Björn; Scheel, Arnd 7 2005 Colliding dissipative pulses – the shooting manifold. Zbl 1146.35013Scheel, Arnd; Wright, J. Douglas 7 2008 Solitary waves and their linear stability in weakly coupled KdV equations. Zbl 1119.76009Wright, J. Douglas; Scheel, Arnd 7 2007 Coherent structures generated by inhomogeneities in oscillatory media. Zbl 1210.37052Kollár, Richard; Scheel, Arnd 7 2007 Wavenumber selection in coupled transport equations. Zbl 1387.92064Scheel, Arnd; Stevens, Angela 7 2017 Hopf bifurcation from fronts in the Cahn-Hilliard equation. Zbl 1317.35197Goh, Ryan; Scheel, Arnd 7 2015 Growing stripes, with and without wrinkles. Zbl 1423.35156Avery, M.; Goh, R.; Goodloe, O.; Milewski, A.; Scheel, A. 7 2019 Asymptotic stability of critical pulled fronts via resolvent expansions near the essential spectrum. Zbl 1462.35058Avery, Montie; Scheel, Arnd 7 2021 Bifurcation d’orbites périodiques à partir d’un cycle homocline symétrique. (Bifurcation of periodic orbits from a symmetric homoclinic cycle). Zbl 0748.34024Scheel, Arnd; Chossat, Pascal 6 1992 Stable pattern selection through invasion fronts in closed two-species reaction-diffusion systems. Zbl 1260.92011Kotzagiannidis, Madeleine; Peterson, Jeremiah; Redford, Joseph; Scheel, Arnd; Wu, Qiliang 6 2012 Interfaces between rolls in the Swift-Hohenberg equation. Zbl 1169.35032Haragus, Mariana; Scheel, Arnd 6 2007 Diffusive stability of oscillations in reaction-diffusion systems. Zbl 1227.35056Gallay, Thierry; Scheel, Arnd 6 2011 Spatial Hamiltonian identities for nonlocally coupled systems. Zbl 1401.35367Bakker, Bente; Scheel, Arnd 6 2018 The effect of impurities on striped phases. Zbl 1454.35028Jaramillo, Gabriela; Scheel, Arnd; Wu, Qiliang 6 2019 Dislocations in an anisotropic Swift-Hohenberg equation. Zbl 1253.35182Haragus, Mariana; Scheel, Arnd 5 2012 Lattice differential equations embedded into reaction-diffusion systems. Zbl 1173.35550Scheel, Arnd; van Vleck, Erik S. 5 2009 Existence of fast traveling waves for some parabolic equations: A dynamical systems approach. Zbl 0878.35057Scheel, Arnd 5 1996 Quasi-gradient systems, modulational dichotomies, and stability of spatially periodic patterns. Zbl 1289.35030Pogan, Alin; Scheel, Arnd; Zumbrun, Kevin 5 2013 Wavenumber selection via spatial parameter jump. Zbl 1402.35136Scheel, Arnd; Weinburd, Jasper 5 2018 Stability analysis of stationary light transmission in nonlinear photonic structures. Zbl 1116.78016Pelinovsky, D. E.; Scheel, A. 4 2003 Layers in the presence of conservation laws. Zbl 1260.37051Pogan, Alin; Scheel, Arnd 4 2012 Dynamical behavior of patterns with Euclidean symmetry. Zbl 0966.35064Sandstede, Björn; Scheel, Arnd; Wulff, Claudia 4 1999 Diffusive stability of Turing patterns via normal forms. Zbl 1375.35242Scheel, Arnd; Wu, Qiliang 4 2015 Wave train selection by invasion fronts in the Fitzhugh-Nagumo equation. Zbl 1406.35027Carter, Paul; Scheel, Arnd 4 2018 Coherent structures near the boundary between excitable and oscillatory media. Zbl 1191.37040Bellay, Jeremy; Scheel, Arnd 3 2010 Robustness of Liesegang patterns. Zbl 1163.34029Scheel, Arnd 3 2009 Absolute instabilities of standing pulses. Zbl 1109.37053Sandstede, Björn; Scheel, Arnd 3 2005 Instability of radially-symmetric spikes in systems with a conserved quantity. Zbl 1269.37034Pogan, Alin; Scheel, Arnd 3 2012 Strain and defects in oblique stripe growth. Zbl 1471.35035Chen, Kelly; Deiman, Zachary; Goh, Ryan; Jankovic, Sally; Scheel, Arnd 3 2021 Fredholm properties of radially symmetric, second order differential operators. Zbl 1246.47011Pogan, Alin; Scheel, Arnd 3 2011 Pacemakers in large arrays of oscillators with nonlocal coupling. Zbl 1331.35045Jaramillo, Gabriela; Scheel, Arnd 3 2016 Bifurcation to coherent structures in nonlocally coupled systems. Zbl 1420.35033Scheel, Arnd; Tao, Tianyu 3 2019 Subcritical bifurcation to infinitely many rotating waves. Zbl 0892.34004Scheel, Arnd 2 1997 Invasion into remnant instability: a case study of front dynamics. Zbl 1512.35049Faye, Grégory; Holzer, Matt; Scheel, Arnd; Siemer, Lars 2 2022 Advection-diffusion dynamics with nonlinear boundary flux as a model for crystal growth. Zbl 07261806Pauthier, Antoine; Scheel, Arnd 2 2020 Universal selection of pulled fronts. Zbl 07750992Avery, Montie; Scheel, Arnd 2 2022 Fast travelling waves for convective reaction-diffusion equations. Zbl 0781.76079Scheel, Arnd 1 1993 Fast travelling waves for the Cahn-Hilliard equation in an infinite strip. Zbl 0798.35067Scheel, Arnd 1 1993 Magnetic dynamos in rotating convection – a dynamical systems approach. Zbl 0939.35020Chossat, P.; Krupa, M.; Melbourne, I.; Scheel, A. 1 1999 Stable viscous shocks in elliptic conservation laws. Zbl 1128.35033Haragus, Mariana; Scheel, Arnd 1 2007 Upper and lower bounds for the Hausdorff dimension of the attractor for reaction-diffusion equations in \(\mathbf R^n\). Zbl 0951.35502Efendiev, M. A.; Scheel, A. 1 1999 Pushed-to-pulled front transitions: continuation, speed scalings, and hidden monotonicty. Zbl 07752349Avery, Montie; Holzer, Matt; Scheel, Arnd 1 2023 Invasion into remnant instability: a case study of front dynamics. Zbl 1512.35049Faye, Grégory; Holzer, Matt; Scheel, Arnd; Siemer, Lars 2 2022 Universal selection of pulled fronts. Zbl 07750992Avery, Montie; Scheel, Arnd 2 2022 Asymptotic stability of critical pulled fronts via resolvent expansions near the essential spectrum. Zbl 1462.35058Avery, Montie; Scheel, Arnd 7 2021 Strain and defects in oblique stripe growth. Zbl 1471.35035Chen, Kelly; Deiman, Zachary; Goh, Ryan; Jankovic, Sally; Scheel, Arnd 3 2021 Instability in large bounded domains – branched versus unbranched resonances. Zbl 1487.37089Avery, Montie; Dedina, Cedric; Smith, Aislinn; Scheel, Arnd 1 2021 Advection-diffusion dynamics with nonlinear boundary flux as a model for crystal growth. Zbl 07261806Pauthier, Antoine; Scheel, Arnd 2 2020 Growing stripes, with and without wrinkles. Zbl 1423.35156Avery, M.; Goh, R.; Goodloe, O.; Milewski, A.; Scheel, A. 7 2019 The effect of impurities on striped phases. Zbl 1454.35028Jaramillo, Gabriela; Scheel, Arnd; Wu, Qiliang 6 2019 Bifurcation to coherent structures in nonlocally coupled systems. Zbl 1420.35033Scheel, Arnd; Tao, Tianyu 3 2019 Global phase diagrams of run-and-tumble dynamics: equidistribution, waves, and blowup. Zbl 1415.92151Kang, Kyungkeun; Scheel, Arnd; Stevens, Angela 1 2019 Pattern-forming fronts in a Swift-Hohenberg equation with directional quenching – parallel and oblique stripes. Zbl 1395.35024Goh, Ryan; Scheel, Arnd 11 2018 Center manifolds without a phase space. Zbl 1406.37026Faye, Grégory; Scheel, Arnd 10 2018 Spatial Hamiltonian identities for nonlocally coupled systems. Zbl 1401.35367Bakker, Bente; Scheel, Arnd 6 2018 Wavenumber selection via spatial parameter jump. Zbl 1402.35136Scheel, Arnd; Weinburd, Jasper 5 2018 Wave train selection by invasion fronts in the Fitzhugh-Nagumo equation. Zbl 1406.35027Carter, Paul; Scheel, Arnd 4 2018 Continuation and bifurcation of grain boundaries in the Swift-Hohenberg equation. Zbl 1434.35016Lloyd, David J. B.; Scheel, Arnd 20 2017 Spinodal decomposition and coarsening fronts in the Cahn-Hilliard equation. Zbl 1377.35168Scheel, Arnd 12 2017 Phase separation patterns from directional quenching. Zbl 1378.35031Monteiro, Rafael; Scheel, Arnd 10 2017 Linear spreading speeds from nonlinear resonant interaction. Zbl 1386.35203Faye, Grégory; Holzer, Matt; Scheel, Arnd 9 2017 Wavenumber selection in coupled transport equations. Zbl 1387.92064Scheel, Arnd; Stevens, Angela 7 2017 Patterns of dynamics. In honour of Bernold Fiedler’s 60th birthday, Berlin, Germany, July 25–29, 2016. Zbl 1388.93001 1 2017 Traveling fronts bifurcating from stable layers in the presence of conservation laws. Zbl 1360.37171Pogan, Alin; Scheel, Arnd 1 2017 Pinning and unpinning in nonlocal systems. Zbl 1356.45008Anderson, Taylor; Faye, Grégory; Scheel, Arnd; Stauffer, David 13 2016 Pattern formation in the wake of triggered pushed fronts. Zbl 1353.35055Goh, Ryan; Scheel, Arnd 9 2016 Pacemakers in large arrays of oscillators with nonlocal coupling. Zbl 1331.35045Jaramillo, Gabriela; Scheel, Arnd 3 2016 Existence of pulses in excitable media with nonlocal coupling. Zbl 1304.35187Faye, Grégory; Scheel, Arnd 23 2015 Deformation of striped patterns by inhomogeneities. Zbl 1318.35033Jaramillo, Gabriela; Scheel, Arnd 9 2015 Characterizing the effect of boundary conditions on striped phases. Zbl 1330.35035Morrissey, David; Scheel, Arnd 9 2015 Hopf bifurcation from fronts in the Cahn-Hilliard equation. Zbl 1317.35197Goh, Ryan; Scheel, Arnd 7 2015 Diffusive stability of Turing patterns via normal forms. Zbl 1375.35242Scheel, Arnd; Wu, Qiliang 4 2015 Criteria for pointwise growth and their role in invasion processes. Zbl 1296.35017Holzer, Matt; Scheel, Arnd 24 2014 Accelerated fronts in a two-stage invasion process. Zbl 1292.35073Holzer, Matt; Scheel, Arnd 19 2014 Triggered fronts in the complex Ginzburg Landau equation. Zbl 1297.35224Goh, Ryan; Scheel, Arnd 14 2014 Fredholm properties of nonlocal differential operators via spectral flow. Zbl 1310.47067Faye, Grégory; Scheel, Arnd 12 2014 Small-amplitude grain boundaries of arbitrary angle in the Swift-Hohenberg equation. Zbl 1292.35040Scheel, Arnd; Wu, Qiliang 11 2014 Quasi-gradient systems, modulational dichotomies, and stability of spatially periodic patterns. Zbl 1289.35030Pogan, Alin; Scheel, Arnd; Zumbrun, Kevin 5 2013 Diffusive mixing of periodic wave trains in reaction-diffusion systems. Zbl 1298.35108Sandstede, Björn; Scheel, Arnd; Schneider, Guido; Uecker, Hannes 27 2012 A slow pushed front in a Lotka-Volterra competition model. Zbl 1252.35106Holzer, Matt; Scheel, Arnd 21 2012 Grain boundaries in the Swift-Hohenberg equation. Zbl 1257.35150Haragus, Mariana; Scheel, Arnd 8 2012 Stable pattern selection through invasion fronts in closed two-species reaction-diffusion systems. Zbl 1260.92011Kotzagiannidis, Madeleine; Peterson, Jeremiah; Redford, Joseph; Scheel, Arnd; Wu, Qiliang 6 2012 Dislocations in an anisotropic Swift-Hohenberg equation. Zbl 1253.35182Haragus, Mariana; Scheel, Arnd 5 2012 Layers in the presence of conservation laws. Zbl 1260.37051Pogan, Alin; Scheel, Arnd 4 2012 Instability of radially-symmetric spikes in systems with a conserved quantity. Zbl 1269.37034Pogan, Alin; Scheel, Arnd 3 2012 Spatial wavenumber selection in recurrent precipitation. Zbl 1217.35022Goh, Ryan N.; Mesuro, Samantha; Scheel, Arnd 11 2011 Diffusive stability of oscillations in reaction-diffusion systems. Zbl 1227.35056Gallay, Thierry; Scheel, Arnd 6 2011 Fredholm properties of radially symmetric, second order differential operators. Zbl 1246.47011Pogan, Alin; Scheel, Arnd 3 2011 Instability of spikes in the presence of conservation laws. Zbl 1233.35027Pogan, Alin; Scheel, Arnd 13 2010 Coherent structures near the boundary between excitable and oscillatory media. Zbl 1191.37040Bellay, Jeremy; Scheel, Arnd 3 2010 The dynamics of modulated wave trains. Zbl 1179.35005Doelman, Arjen; Sandstede, Björn; Scheel, Arnd; Schneider, Guido 67 2009 Lattice differential equations embedded into reaction-diffusion systems. Zbl 1173.35550Scheel, Arnd; van Vleck, Erik S. 5 2009 Robustness of Liesegang patterns. Zbl 1163.34029Scheel, Arnd 3 2009 Relative morse indices, Fredholm indices, and group velocities. Zbl 1144.35410Sandstede, Björn; Scheel, Arnd 29 2008 Hopf bifurcation from viscous shock waves. Zbl 1195.35043Sandstede, Björn; Scheel, Arnd 21 2008 Colliding dissipative pulses – the shooting manifold. Zbl 1146.35013Scheel, Arnd; Wright, J. Douglas 7 2008 Computing absolute and essential spectra using continuation. Zbl 1119.65114Rademacher, Jens D. M.; Sandstede, Björn; Scheel, Arnd 58 2007 Instabilities of wave trains and turing patterns in large domains. Zbl 1141.37359Rademacher, Jens D. M.; Scheel, Arnd 18 2007 Period-doubling of spiral waves and defects. Zbl 1210.37053Sandstede, Björn; Scheel, Arnd 13 2007 A bifurcation approach to non-planar traveling waves in reaction-diffusion systems. Zbl 1133.35385Haragus, Mariana; Scheel, Arnd 9 2007 The saddle-node of nearly homogeneous wave trains in reaction-diffusion systems. Zbl 1120.35052Rademacher, Jens D. M.; Scheel, Arnd 8 2007 Solitary waves and their linear stability in weakly coupled KdV equations. Zbl 1119.76009Wright, J. Douglas; Scheel, Arnd 7 2007 Coherent structures generated by inhomogeneities in oscillatory media. Zbl 1210.37052Kollár, Richard; Scheel, Arnd 7 2007 Interfaces between rolls in the Swift-Hohenberg equation. Zbl 1169.35032Haragus, Mariana; Scheel, Arnd 6 2007 Stable viscous shocks in elliptic conservation laws. Zbl 1128.35033Haragus, Mariana; Scheel, Arnd 1 2007 Corner defects in almost planar interface propagation. Zbl 1098.35085Haragus, Mariana; Scheel, Arnd 42 2006 Almost planar waves in anisotropic media. Zbl 1098.35086Haragus, Mariana; Scheel, Arnd 22 2006 Spectral stability of wave trains in the Kawahara equation. Zbl 1111.35060Haragus, Mariana; Lombardi, Eric; Scheel, Arnd 16 2006 Coarsening fronts. Zbl 1109.35116Scheel, Arnd 9 2006 Basin boundaries and bifurcations near convective instabilities: a case study. Zbl 1065.35054Sandstede, Björn; Scheel, Arnd 7 2005 Absolute instabilities of standing pulses. Zbl 1109.37053Sandstede, Björn; Scheel, Arnd 3 2005 Defects in oscillatory media: toward a classification. Zbl 1059.37062Sandstede, Björn; Scheel, Arnd 51 2004 Evans function and blow-up methods in critical eigenvalue problems. Zbl 1068.35080Sandstede, Björn; Scheel, Arnd 22 2004 Spatio-temporal dynamics of reaction-diffusion patterns. Zbl 1082.37004Fiedler, Bernold; Scheel, Arnd 41 2003 Propagation of hexagonal patterns near onset. Zbl 1044.37049Doelman, Arjen; Sandstede, Björn; Scheel, Arnd; Schneider, Guido 37 2003 Radially symmetric patterns of reaction-diffusion systems. Zbl 1036.35092Scheel, Arnd 23 2003 Exponential averaging for Hamiltonian evolution equations. Zbl 1008.37043Matthies, Karsten; Scheel, Arnd 9 2003 Stability analysis of stationary light transmission in nonlinear photonic structures. Zbl 1116.78016Pelinovsky, D. E.; Scheel, A. 4 2003 Exponential dichotomies for linear non-autonomous functional differential equations of mixed type. Zbl 1047.34079Härterich, Jörg; Sandstede, Björn; Scheel, Arnd 28 2002 Finite-wavelength stability of capillary-gravity solitary waves. Zbl 0992.35062Haragus, Mariana; Scheel, Arnd 10 2002 Linear stability and instability of ion-acoustic plasma solitary waves. Zbl 1001.76038Haragus, Mariana; Scheel, Arnd 8 2002 On the structure of spectra of modulated travelling waves. Zbl 0994.35025Sandstede, Björn; Scheel, Arnd 38 2001 On the stability of periodic travelling waves with large spatial period. Zbl 0994.34035Sandstede, Björn; Scheel, Arnd 28 2001 Essential instabilities of fronts: bifurcation, and bifurcation failure. Zbl 1055.37069Sandstede, Björn; Scheel, Arnd 14 2001 Absolute and convective instabilities of waves on unbounded and large bounded domains. Zbl 0963.34072Sandstede, Björn; Scheel, Arnd 120 2000 Gluing unstable fronts and backs together can produce stable pulses. Zbl 0977.34073Sandstede, Björn; Scheel, Arnd 23 2000 Numerical computation of solitary waves in infinite cylindrical domains. Zbl 0956.65108Lord, Gabriel J.; Peterhof, Daniela; Sandstede, Björn; Scheel, Arnd 12 2000 Spectral stability of modulated travelling waves bifurcation near essential instabilities. Zbl 0965.35081Sandstede, B.; Scheel, A. 12 2000 Bifurcations and dynamics of spiral waves. Zbl 0951.35014Sandstede, B.; Scheel, A.; Wulff, C. 24 1999 Essential instability of pulses and bifurcations to modulated travelling waves. Zbl 0956.35065Sandstede, B.; Scheel, A. 9 1999 Dynamical behavior of patterns with Euclidean symmetry. Zbl 0966.35064Sandstede, Björn; Scheel, Arnd; Wulff, Claudia 4 1999 Magnetic dynamos in rotating convection – a dynamical systems approach. Zbl 0939.35020Chossat, P.; Krupa, M.; Melbourne, I.; Scheel, A. 1 1999 Upper and lower bounds for the Hausdorff dimension of the attractor for reaction-diffusion equations in \(\mathbf R^n\). Zbl 0951.35502Efendiev, M. A.; Scheel, A. 1 1999 Bifurcation to spiral waves in reaction-diffusion systems. Zbl 0928.35017Scheel, Arnd 25 1998 Large patterns of elliptic systems in infinite cylinders. Zbl 0917.35011Fiedler, Bernold; Scheel, Arnd; Vishik, Mark I. 9 1998 Exponential dichotomies for solitary-wave solutions of semilinear elliptic equations on infinite cylinders. Zbl 0908.35048Peterhof, Daniela; Sandstede, Björn; Scheel, Arnd 49 1997 Dynamics of spiral waves on unbounded domains using center-manifold reductions. Zbl 0888.35053Sandstede, Björn; Scheel, Arnd; Wulff, Claudia 30 1997 Transverse bifurcations of homoclinic cycles. Zbl 0892.34044Chossat, P.; Krupa, M.; Melbourne, I.; Scheel, A. 19 1997 Center-manifold reduction for spiral waves. Zbl 0879.35079Sandstede, Björn; Scheel, Arnd; Wulff, Claudia 8 1997 Subcritical bifurcation to infinitely many rotating waves. Zbl 0892.34004Scheel, Arnd 2 1997 Bifurcation from relative equilibria of noncompact group actions: Skew products, meanders, and drifts. Zbl 0870.58014Fiedler, Bernold; Sandstede, Björn; Scheel, Arnd; Wulff, Claudia 29 1996 ...and 5 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 850 Authors 60 Scheel, Arnd 35 Zumbrun, Kevin R. 34 Sandstede, Björn 20 Sherratt, Jonathan A. 19 Rademacher, Jens Diederich Michael 17 Latushkin, Yuri 15 Faye, Grégory 15 Holzer, Matt 15 Johnson, Mathew A. 14 Rodrigues, Luis Miguel 13 Fiedler, Bernold 13 Haragus, Mariana 13 Hupkes, Hermen Jan 11 de Rijk, Björn 11 Doelman, Arjen 11 Schneider, Guido 10 Rocha, Carlos 9 Beck, Margaret 9 Jones, Christopher K. R. T. 9 Noble, Pascal 9 Pogan, Alin 8 Barker, Blake 8 Goh, Ryan N. 8 Hamel, François 8 Melbourne, Ian 8 Sukhtayev, Alim 8 van Heijster, Peter 7 Ashwin, Peter 7 Avery, Montie 7 Bu, Zhenhui 7 Carter, Paul M. 7 Jaramillo, Gabriela 7 Jung, Soyeun 7 Lloyd, David J. B. 7 Marangell, Robert 7 Postlethwaite, Claire M. 7 Sheng, WeiJie 7 Van Vleck, Erik S. 7 Wang, Zhi Cheng 7 Wulff, Claudia 6 Beyn, Wolf-Jürgen 6 Deconinck, Bernard 6 Liu, Qian 6 Promislow, Keith Steven 6 Ruan, Shigui 6 Wang, Zhi Cheng 5 Bramburger, Jason J. 5 Bridges, Thomas J. 5 Cox, Graham 5 Düll, Wolf-Patrick 5 Ghazaryan, Anna 5 Lamb, Jeroen S. W. 5 LeBlanc, Victor G. 5 van den Berg, Jan Bouwe 5 Wahlén, Erik 4 Bennett, Jamie J. R. 4 Gani, M. Osman 4 Howard, Peter 4 Kalliadasis, Serafim 4 Kapitula, Todd M. 4 Kevrekidis, Panayotis G. 4 Knobloch, Edgar 4 Lam, King-Yeung 4 Li, Wan-Tong 4 Lin, Xiaobiao 4 Magal, Pierre 4 Matthies, Karsten 4 Ogawa, Toshiyuki 4 Rucklidge, Alastair 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 Valdebenito, Darío A. 4 Wechselberger, Martin 4 Zelik, Sergey V. 3 Berestycki, Henri 3 Castro, Sofia B. S. D. 3 Champneys, Alan R. 3 Chen, Chaonien 3 Chen, Xinfu 3 Chirilus-Bruckner, Martina 3 Choi, Yuncherl 3 Dai, Jia-Yuan 3 Deng, Shengfu 3 Derks, Gianne 3 Eigentler, Lukas 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 Kaper, Tasso J. ...and 750 more Authors all top 5 Cited in 138 Serials 80 Journal of Differential Equations 71 Physica D 33 SIAM Journal on Applied Dynamical Systems 32 Journal of Dynamics and Differential Equations 31 Journal of Nonlinear Science 26 Nonlinearity 24 Archive for Rational Mechanics and Analysis 23 SIAM Journal on Mathematical Analysis 18 Chaos 14 Journal of Mathematical Biology 13 Discrete and Continuous Dynamical Systems 13 Discrete and Continuous Dynamical Systems. Series B 12 Discrete and Continuous Dynamical Systems. 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