Edit Profile (opens in new tab) Sandstede, Björn Co-Author Distance Author ID: sandstede.bjorn Published as: Sandstede, Björn; Sandstede, B.; Sandstede, Bjorn more...less Homepage: http://www.bjornsandstede.com/ External Links: MGP · ORCID · Wikidata · Google Scholar · dblp · GND · IdRef Awards: J.D. Crawford Prize (2001) Documents Indexed: 129 Publications since 1992, including 3 Books and 5 Additional arXiv Preprints 3 Contributions as Editor Co-Authors: 114 Co-Authors with 119 Joint Publications 2,325 Co-Co-Authors all top 5 Co-Authors 12 single-authored 30 Scheel, Arnd 10 Beck, Margaret 10 Carter, Paul M. 7 Bramburger, Jason J. 7 Kapitula, Todd M. 6 Jones, Christopher K. R. T. 6 Zumbrun, Kevin R. 5 Champneys, Alan R. 5 Hupkes, Hermen Jan 5 Lloyd, David J. B. 5 Wulff, Claudia 4 de Rijk, Björn 4 Fiedler, Bernold 3 Beyn, Wolf-Jürgen 3 Kevrekidis, Panayotis G. 3 Nguyen, Toan Trong 3 Parker, Ross 3 Peterhof, Daniela 3 Schneider, Guido 3 van Heijster, Peter 3 Volkening, Alexandria 2 Alexander, James Crew 2 Altschuler, Dylan J. 2 Avery, Chloe I. 2 Avitabile, Daniele 2 Balasuriya, Sanjeeva 2 Ciocanel, Maria-Veronica 2 Derks, Gianne 2 Dodson, Stephanie 2 Doelman, Arjen 2 Ghazaryan, Anna 2 Härterich, Jörg M. 2 Knobloch, Jürgen 2 Kuznetsov, Yuri Alexandrovich 2 Maad Sasane, Sara 2 Makrides, Elizabeth 2 Manukian, Vahagn 2 McCalla, Scott G. 2 McGuirl, Melissa R. 2 Mowry, Kimberly L. 2 Rademacher, Jens Diederich Michael 2 Santorella, Rebecca 2 Wagenknecht, Thomas 1 Abbott, M. R. 1 Aougab, Tarik 1 Barker, Blake 1 Brunovský, Pavol 1 Cabral, Sarah 1 Chin, Tracy 1 Christiansen, Peter Leth 1 Clark, Linda 1 Cleveland, Electa 1 Cochrane, Courtney 1 Costanzino, Nicola 1 DeGuire, Joseph 1 Demetçi, Pınar 1 Desai, Surabhi 1 Ding, Lee 1 Doedel, Eusebius J. 1 Dubois, B. 1 Fan, Gaoyang 1 Gaididei, Yuri Borisovich 1 Gorria, Carlos 1 Govaerts, Willy J. F. 1 Grenier, Emmanuel 1 Grillakis, Manoussos G. 1 Guckenheimer, John M. 1 Gurevich, Pavel L. 1 Hell, Juliette 1 Holmes, Emma 1 Homburg, Ale Jan 1 Humpherys, Jeffrey 1 Ivanov, Milen 1 Iyer, Sameer 1 Jeschonek, Samantha P. 1 Kinnaird, Katherine M. 1 Knobloch, Edgar 1 Krauskopf, Bernd 1 Krupa, Martin 1 Kutz, Nathan 1 Lord, Gabriel James 1 Mastromatteo, Lucas 1 McQuighan, Kelly 1 Murphy, Patrick 1 Nguyen, Rose 1 Oh, Myunghyun 1 Osinga, Hinke Maria 1 Palmer, Jenna 1 Pelinovsky, Dmitry Efimovich 1 Poláčik, Peter 1 Reichheld, Sarah 1 Rousset, Frédéric 1 Ruth, Jacob 1 Samaey, Giovanni 1 Sanford, Clayton 1 Sangsawan, Tharathep 1 Sangsawang, Tharathep 1 Schmitt, Karl R. B. 1 Singh, Ritambhara 1 Slivinski, Laura ...and 14 more Co-Authors all top 5 Serials 14 Journal of Differential Equations 13 Physica D 12 SIAM Journal on Applied Dynamical Systems 10 Nonlinearity 9 SIAM Journal on Mathematical Analysis 8 Journal of Dynamics and Differential Equations 6 Journal of Nonlinear Science 4 Discrete and Continuous Dynamical Systems 3 Dynamical Systems 2 Archive for Rational Mechanics and Analysis 2 Bulletin of Mathematical Biology 2 Indiana University Mathematics Journal 2 Memoirs of the American Mathematical Society 2 Transactions of the American Mathematical Society 2 Ergodic Theory and Dynamical Systems 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 Oberwolfach Reports 1 IMA Journal of Applied Mathematics 1 IMA Journal of Numerical Analysis 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Journal of Functional Analysis 1 Mathematische Nachrichten 1 Numerische Mathematik 1 Proceedings of the American Mathematical Society 1 SIAM Journal on Numerical Analysis 1 European Journal of Applied Mathematics 1 Proceedings of the National Academy of Sciences of the United States of America 1 SIAM Journal on Applied Mathematics 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Documenta Mathematica 1 Chaos 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 RIMS Kôkyûroku Bessatsu 1 Springer Proceedings in Mathematics & Statistics 1 Nonlinear Analysis. Theory, Methods & Applications 1 Foundations of Data Science all top 5 Fields 93 Partial differential equations (35-XX) 57 Dynamical systems and ergodic theory (37-XX) 33 Ordinary differential equations (34-XX) 14 Numerical analysis (65-XX) 9 Biology and other natural sciences (92-XX) 7 Operator theory (47-XX) 6 Fluid mechanics (76-XX) 5 Optics, electromagnetic theory (78-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Mechanics of deformable solids (74-XX) 3 General and overarching topics; collections (00-XX) 3 Algebraic topology (55-XX) 2 Manifolds and cell complexes (57-XX) 2 Operations research, mathematical programming (90-XX) 2 Systems theory; control (93-XX) 1 Combinatorics (05-XX) 1 Difference and functional equations (39-XX) 1 Integral equations (45-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 115 Publications have been cited 2,551 times in 1,311 Documents Cited by ▼ Year ▼ Stability of travelling waves. Zbl 1056.35022 Sandstede, Björn 190 2002 Absolute and convective instabilities of waves on unbounded and large bounded domains. Zbl 0963.34072 Sandstede, Björn; Scheel, Arnd 121 2000 Homoclinic and heteroclinic bifurcations in vector fields. Zbl 1243.37024 Homburg, Ale Jan; Sandstede, Björn 95 2010 Counting eigenvalues via the Krein signature in infinite-dimensional Hamiltonian systems. Zbl 1056.37080 Kapitula, Todd; Kevrekidis, Panayotis G.; Sandstede, Björn 80 2004 A numerical toolbox for homoclinic bifurcation analysis. Zbl 0877.65058 Champneys, A. R.; Kuznetsov, Yu. A.; Sandstede, B. 74 1996 The dynamics of modulated wave trains. Zbl 1179.35005 Doelman, Arjen; Sandstede, Björn; Scheel, Arnd; Schneider, Guido 72 2009 Stability of bright solitary-wave solutions to perturbed nonlinear Schrödinger equations. Zbl 0935.35150 Kapitula, Todd; Sandstede, Björn 67 1998 Fast and slow waves in the FitzHugh-Nagumo equation. Zbl 0898.34050 Krupa, Martin; Sandstede, Björn; Szmolyan, Peter 62 1997 Computing absolute and essential spectra using continuation. Zbl 1119.65114 Rademacher, Jens D. M.; Sandstede, Björn; Scheel, Arnd 59 2007 Snakes, ladders, and isolas of localized patterns. Zbl 1200.37015 Beck, Margaret; Knobloch, Jürgen; Lloyd, David J. B.; Sandstede, Björn; Wagenknecht, Thomas 58 2009 Localized hexagon patterns of the planar Swift-Hohenberg equation. Zbl 1168.35311 Lloyd, David J. B.; Sandstede, Björn; Avitabile, Daniele; Champneys, Alan R. 56 2008 Defects in oscillatory media: toward a classification. Zbl 1059.37062 Sandstede, Björn; Scheel, Arnd 53 2004 Branching theory of homoclinic doublings. (Verzweigungstheorie homokliner Verdopplungen.) Zbl 0850.58012 Sandstede, Björn 50 1993 Exponential dichotomies for solitary-wave solutions of semilinear elliptic equations on infinite cylinders. Zbl 0908.35048 Peterhof, Daniela; Sandstede, Björn; Scheel, Arnd 50 1997 Stability of multiple-pulse solutions. Zbl 0887.35020 Sandstede, Björn 49 1998 Counting eigenvalues via the Krein signature in infinite-dimensional Hamiltonian systems. Zbl 1080.37070 Kapitula, Todd; Kevrekidis, Panayotis G.; Sandstede, Björn 43 2005 On the structure of spectra of modulated travelling waves. Zbl 0994.35025 Sandstede, Björn; Scheel, Arnd 40 2001 Constructing dynamical systems having homoclinic bifurcation points of codimension two. Zbl 0879.34051 Sandstede, Björn 39 1997 To snake or not to snake in the planar Swift-Hohenberg equation. Zbl 1200.37014 Avitabile, Daniele; Lloyd, David J. B.; Burke, John; Knobloch, Edgar; Sandstede, Björn 39 2010 Propagation of hexagonal patterns near onset. Zbl 1044.37049 Doelman, Arjen; Sandstede, Björn; Scheel, Arnd; Schneider, Guido 38 2003 Numerical continuation, and computation of normal forms. Zbl 1034.37048 Beyn, Wolf-Jürgen; Champneys, Alan; Doedel, Eusebius; Govaerts, Willy; Kuznetsov, Yuri A.; Sandstede, Björn 36 2002 Fast pulses with oscillatory tails in the FitzHugh-Nagumo system. Zbl 1327.35008 Carter, Paul; Sandstede, Björn 33 2015 Relative morse indices, Fredholm indices, and group velocities. Zbl 1144.35410 Sandstede, Björn; Scheel, Arnd 32 2008 Stability of traveling pulses with oscillatory tails in the FitzHugh-Nagumo system. Zbl 1361.35024 Carter, Paul; de Rijk, Björn; Sandstede, Björn 32 2016 Exponential dichotomies for linear non-autonomous functional differential equations of mixed type. Zbl 1047.34079 Härterich, Jörg; Sandstede, Björn; Scheel, Arnd 31 2002 Dynamics of spiral waves on unbounded domains using center-manifold reductions. Zbl 0888.35053 Sandstede, Björn; Scheel, Arnd; Wulff, Claudia 30 1997 Convergence in general periodic parabolic equations in one space dimension. Zbl 0796.35009 Brunovský, P.; Poláčik, P.; Sandstede, B. 30 1992 Diffusive mixing of periodic wave trains in reaction-diffusion systems. Zbl 1298.35108 Sandstede, Björn; Scheel, Arnd; Schneider, Guido; Uecker, Hannes 29 2012 On the stability of periodic travelling waves with large spatial period. Zbl 0994.34035 Sandstede, Björn; Scheel, Arnd 29 2001 Localized radial solutions of the Swift-Hohenberg equation. Zbl 1202.35025 Lloyd, David; Sandstede, Björn 29 2009 Bifurcation from relative equilibria of noncompact group actions: Skew products, meanders, and drifts. Zbl 0870.58014 Fiedler, Bernold; Sandstede, Björn; Scheel, Arnd; Wulff, Claudia 29 1996 Efficient computation of analytic bases in Evans function analysis of large systems. Zbl 1104.65081 Humpherys, Jeffrey; Sandstede, Björn; Zumbrun, Kevin 28 2006 Traveling pulse solutions for the discrete FitzHugh-Nagumo system. Zbl 1211.34007 Hupkes, Hermen Jan; Sandstede, Björn 26 2010 Snaking of radial solutions of the multi-dimensional Swift-Hohenberg equation: a numerical study. Zbl 1195.35042 McCalla, Scott; Sandstede, Björn 26 2010 Stability of pulse solutions for the discrete FitzHugh-Nagumo system. Zbl 1271.34008 Hupkes, H. J.; Sandstede, B. 25 2013 Bifurcations and dynamics of spiral waves. Zbl 0951.35014 Sandstede, B.; Scheel, A.; Wulff, C. 24 1999 Planar radial spots in a three-component FitzHugh-Nagumo system. Zbl 1233.35012 van Heijster, Peter; Sandstede, Björn 24 2011 Evans function and blow-up methods in critical eigenvalue problems. Zbl 1068.35080 Sandstede, Björn; Scheel, Arnd 24 2004 Gluing unstable fronts and backs together can produce stable pulses. Zbl 0977.34073 Sandstede, Björn; Scheel, Arnd 23 2000 Edge bifurcations for near integrable systems via Evans function techniques. Zbl 1092.37048 Kapitula, Todd; Sandstede, Björn 22 2002 Evans functions and nonlinear stability of traveling waves in neuronal network models. Zbl 1144.35342 Sandstede, Björn 21 2007 Hopf bifurcation from viscous shock waves. Zbl 1195.35043 Sandstede, Björn; Scheel, Arnd 21 2008 Convergence estimates for the numerical approximation of homoclinic solutions. Zbl 0899.65044 Sandstede, Björn 21 1997 Nonlinear stability of time-periodic viscous shocks. Zbl 1221.35054 Beck, Margaret; Sandstede, Björn; Zumbrun, Kevin 20 2010 Dynamics of periodically forced parabolic equations on the circle. Zbl 0754.35066 Sandstede, Björn; Fiedler, Bernold 19 1992 Bifurcations to travelling planar spots in a three-component FitzHugh-Nagumo system. Zbl 1341.37029 van Heijster, Peter; Sandstede, Björn 19 2014 Existence and stability of \(N\)-pulses on optical fibers with phase-sensitive amplifiers. Zbl 0938.35184 Sandstede, B.; Jones, C. K. R. T.; Alexander, J. C. 18 1997 Numerical computation of coherent structures. Zbl 1129.65071 Champneys, Alan R.; Sandstede, Björn 18 2007 Center manifolds for homoclinic solutions. Zbl 0974.34049 Sandstede, Björn 18 2000 Propagation failure in the discrete Nagumo equation. Zbl 1235.34034 Hupkes, H. J.; Pelinovsky, D.; Sandstede, B. 17 2011 Unpeeling a homoclinic banana in the FitzHugh-Nagumo system. Zbl 1407.35015 Carter, Paul; Sandstede, Björn 17 2018 Nonlinear stability of source defects in the complex Ginzburg-Landau equation. Zbl 1291.35374 Beck, Margaret; Nguyen, Toan T.; Sandstede, Björn; Zumbrun, Kevin 17 2014 Melnikov theory for finite-time vector fields. Zbl 0962.37007 Sandstede, Björn; Balasuriya, Sanjeeva; Jones, Christopher K. R. T.; Miller, Patrick 16 2000 Spots in the Swift-Hohenberg equation. Zbl 1282.35028 McCalla, S. G.; Sandstede, B. 16 2013 The Evans function for nonlocal equations. Zbl 1059.35137 Kapitula, Todd; Kutz, Nathan; Sandstede, Björn 15 2004 Period-doubling of spiral waves and defects. Zbl 1210.37053 Sandstede, Björn; Scheel, Arnd 14 2007 Stability of \(N\)-fronts bifurcating from a twisted heteroclinic loop and an application to the FitzHugh-Nagumo equation. Zbl 0914.34050 Sandstede, Björn 14 1998 Essential instabilities of fronts: bifurcation, and bifurcation failure. Zbl 1055.37069 Sandstede, Björn; Scheel, Arnd 14 2001 Instability of localized buckling modes in a one-dimensional strut model. Zbl 0895.35102 Sandstede, Björn 14 1997 Isolas of 2-pulse solutions in homoclinic snaking scenarios. Zbl 1222.34040 Knobloch, Jürgen; Lloyd, David J. B.; Sandstede, Björn; Wagenknecht, Thomas 13 2011 Numerical computation of solitary waves in infinite cylindrical domains. Zbl 0956.65108 Lord, Gabriel J.; Peterhof, Daniela; Sandstede, Björn; Scheel, Arnd 13 2000 Forced symmetry breaking of homoclinic cycles. Zbl 0841.58048 Sandstede, Björn; Scheel, Arnd 13 1995 Eigenvalues and resonances using the Evans function. Zbl 1074.34077 Kapitula, Todd; Sandstede, Björn 13 2004 Stability of pulses on optical fibers with phase-sensitive amplifiers. Zbl 0882.35110 Alexander, J. C.; Grillakis, M. G.; Jones, C. K. R. T.; Sandstede, B. 13 1997 A non-transverse homoclinic orbit to a saddle-node equilibrium. Zbl 0853.58079 Champneys, Alan R.; Härterich, Jörg; Sandstede, Björn 12 1996 Spectral stability of modulated travelling waves bifurcation near essential instabilities. Zbl 0965.35081 Sandstede, B.; Scheel, A. 12 2000 Predicting the bifurcation structure of localized snaking patterns. Zbl 1288.35066 Makrides, Elizabeth; Sandstede, Björn 11 2014 Evans functions for periodic waves on infinite cylindrical domains. Zbl 1180.35096 Oh, Myunghyun; Sandstede, Björn 10 2010 Viscous perturbations of vorticity-conserving flows and separatrix splitting. Zbl 0913.76014 Balasuriya, Sanjeeva; Jones, Christopher K. R. T.; Sandstede, Björn 10 1998 Spatially localized structures in lattice dynamical systems. Zbl 1440.37072 Bramburger, Jason J.; Sandstede, Björn 10 2020 Nonlinear convective instability of turing-unstable fronts near onset: a case study. Zbl 1210.37054 Ghazaryan, Anna; Sandstede, Björn 9 2007 Essential instability of pulses and bifurcations to modulated travelling waves. Zbl 0956.35065 Sandstede, B.; Scheel, A. 9 1999 Invariant manifolds and global bifurcations. Zbl 1374.37076 Guckenheimer, John; Krauskopf, Bernd; Osinga, Hinke M.; Sandstede, Björn 9 2015 Snakes and isolas in non-reversible conservative systems. Zbl 1254.35121 Sandstede, Björn; Xu, Yancong 9 2012 Nonlinear stability of semidiscrete shocks for two-sided schemes. Zbl 1219.35138 Beck, Margaret; Hupkes, Hermen Jan; Sandstede, Björn; Zumbrun, Kevin 8 2010 Center-manifold reduction for spiral waves. Zbl 0879.35079 Sandstede, Björn; Scheel, Arnd; Wulff, Claudia 8 1997 Existence and spectral stability of multi-pulses in discrete Hamiltonian lattice systems. Zbl 1493.37089 Parker, Ross; Kevrekidis, P. G.; Sandstede, Björn 8 2020 Modulated wave trains in lattice differential systems. Zbl 1188.35038 Hupkes, Hermen Jan; Sandstede, Björn 7 2009 Basin boundaries and bifurcations near convective instabilities: a case study. Zbl 1065.35054 Sandstede, Björn; Scheel, Arnd 7 2005 Oscillons in the planar Ginzburg-Landau equation with 2:1 forcing. Zbl 1321.35216 McQuighan, Kelly; Sandstede, Björn 7 2014 Localized patterns in planar bistable weakly coupled lattice systems. Zbl 1447.37065 Bramburger, Jason J.; Sandstede, Björn 7 2020 Topological data analysis of zebrafish patterns. Zbl 1456.92004 Mcguirl, Melissa R.; Volkening, Alexandria; Sandstede, Björn 7 2020 Pulse replication and accumulation of eigenvalues. Zbl 1490.35034 Carter, Paul; Rademacher, Jens D. M.; Sandstede, Björn 6 2021 Existence and stability of spatially localized patterns. Zbl 1405.35076 Makrides, Elizabeth; Sandstede, Björn 6 2019 All-optical clock recovery using multisection distributed-feedback lasers. Zbl 0933.37072 Peterhof, D.; Sandstede, B. 5 1999 Nonlinear convective stability of travelling fronts near Turing and Hopf instabilities. Zbl 1177.35031 Beck, Margaret; Ghazaryan, Anna; Sandstede, Björn 5 2009 Localized radial roll patterns in higher space dimensions. Zbl 1432.37111 Bramburger, Jason J.; Altschuler, Dylan; Avery, Chloe I.; Sangsawang, Tharathep; Beck, Margaret; Carter, Paul; Sandstede, Björn 5 2019 Coexistence of stable spots and fronts in a three-component FitzHugh-Nagumo system. Zbl 1258.35123 van Heijster, Peter; Sandstede, Björn 5 2012 Isolas versus snaking of localized rolls. Zbl 1422.34132 Aougab, Tarik; Beck, Margaret; Carter, Paul; Desai, Surabhi; Sandstede, Björn; Stadt, Melissa; Wheeler, Aric 5 2019 Dynamical behavior of patterns with Euclidean symmetry. Zbl 0966.35064 Sandstede, Björn; Scheel, Arnd; Wulff, Claudia 4 1999 Mixing in reaction-diffusion systems: large phase offsets. Zbl 1411.35160 Iyer, Sameer; Sandstede, Björn 4 2019 Towards nonlinear stability of sources via a modified Burgers equation. Zbl 1236.35086 Beck, Margaret; Nguyen, Toan; Sandstede, Björn; Zumbrun, Kevin 3 2012 Existence of multi-pulses of the regularized short-pulse and Ostrovsky equations. Zbl 1180.35053 Manukian, Vahagn; Costanzino, Nicola; Jones, Christopher K. R. T.; Sandstede, Björn 3 2009 Determining stability of pulses for partial differential equations with time delays. Zbl 1083.35127 Samaey, Giovanni; Sandstede, Björn 3 2005 Multi-hump pulses in systems with reflection and phase invariance. Zbl 1179.35319 Manukian, Vahagn; Sandstede, Björn 3 2009 Absolute instabilities of standing pulses. Zbl 1109.37053 Sandstede, Björn; Scheel, Arnd 3 2005 Viscous perturbations of marginally stable Euler flow and finite-time Melnikov theory. Zbl 1067.35073 Grenier, Emmanuel; Jones, Christopher K. R. T.; Rousset, Frederic; Sandstede, Björn 3 2005 Homoclinic flip bifurcations in conservative reversible systems. Zbl 1314.35107 Sandstede, Björn 3 2013 Snaking bifurcations of localized patterns on ring lattices. Zbl 07452522 Tian, Moyi; Bramburger, Jason J.; Sandstede, Björn 3 2021 Perturbations of embedded eigenvalues for the planar bilaplacian. Zbl 1219.35148 Derks, Gianne; Sasane, Sara Maad; Sandstede, Björn 3 2011 Spiral waves: linear and nonlinear theory. Zbl 07689875 Sandstede, Björn; Scheel, Arnd 2 2023 Unsupervised integration of single-cell multi-omics datasets with disproportionate cell-type representation. Zbl 1496.92065 Demetçi, Pınar; Santorella, Rebecca; Sandstede, Björn; Singh, Ritambhara 1 2022 Periodic multi-pulses and spectral stability in Hamiltonian PDEs with symmetry. Zbl 1528.37060 Parker, Ross; Sandstede, Björn 1 2022 Pulse replication and accumulation of eigenvalues. Zbl 1490.35034 Carter, Paul; Rademacher, Jens D. M.; Sandstede, Björn 6 2021 Snaking bifurcations of localized patterns on ring lattices. Zbl 07452522 Tian, Moyi; Bramburger, Jason J.; Sandstede, Björn 3 2021 Reprint of: “Diffusive stability against nonlocalized perturbations of planar wave trains in reaction-diffusion systems”. Zbl 1455.35039 de Rijk, Björn; Sandstede, Björn 2 2021 Spatially localized structures in lattice dynamical systems. Zbl 1440.37072 Bramburger, Jason J.; Sandstede, Björn 10 2020 Existence and spectral stability of multi-pulses in discrete Hamiltonian lattice systems. Zbl 1493.37089 Parker, Ross; Kevrekidis, P. G.; Sandstede, Björn 8 2020 Localized patterns in planar bistable weakly coupled lattice systems. Zbl 1447.37065 Bramburger, Jason J.; Sandstede, Björn 7 2020 Topological data analysis of zebrafish patterns. Zbl 1456.92004 Mcguirl, Melissa R.; Volkening, Alexandria; Sandstede, Björn 7 2020 Modeling stripe formation on growing zebrafish tailfins. Zbl 1443.92056 Volkening, A.; Abbott, M. R.; Chandra, N.; Dubois, B.; Lim, F.; Sexton, D.; Sandstede, B. 3 2020 A reformulated Krein matrix for star-even polynomial operators with applications. Zbl 1450.35207 Kapitula, Todd; Parker, Ross; Sandstede, Björn 2 2020 Existence and stability of spatially localized patterns. Zbl 1405.35076 Makrides, Elizabeth; Sandstede, Björn 6 2019 Localized radial roll patterns in higher space dimensions. Zbl 1432.37111 Bramburger, Jason J.; Altschuler, Dylan; Avery, Chloe I.; Sangsawang, Tharathep; Beck, Margaret; Carter, Paul; Sandstede, Björn 5 2019 Isolas versus snaking of localized rolls. Zbl 1422.34132 Aougab, Tarik; Beck, Margaret; Carter, Paul; Desai, Surabhi; Sandstede, Björn; Stadt, Melissa; Wheeler, Aric 5 2019 Mixing in reaction-diffusion systems: large phase offsets. Zbl 1411.35160 Iyer, Sameer; Sandstede, Björn 4 2019 Unpeeling a homoclinic banana in the FitzHugh-Nagumo system. Zbl 1407.35015 Carter, Paul; Sandstede, Björn 17 2018 Diffusive stability against nonlocalized perturbations of planar wave trains in reaction-diffusion systems. Zbl 1401.35196 de Rijk, Björn; Sandstede, Björn 3 2018 Computing Evans functions numerically via boundary-value problems. Zbl 1380.65033 Barker, Blake; Nguyen, Rose; Sandstede, Björn; Ventura, Nathaniel; Wahl, Colin 2 2018 Modeling microtubule-based transport and anchoring of mRNA. Zbl 1406.35424 Ciocanel, Maria-Veronica; Sandstede, Bjorn; Jeschonek, Samantha P.; Mowry, Kimberly L. 2 2018 Patterns of dynamics. In honour of Bernold Fiedler’s 60th birthday, Berlin, Germany, July 25–29, 2016. Zbl 1388.93001 1 2017 Stability of traveling pulses with oscillatory tails in the FitzHugh-Nagumo system. Zbl 1361.35024 Carter, Paul; de Rijk, Björn; Sandstede, Björn 32 2016 Fast pulses with oscillatory tails in the FitzHugh-Nagumo system. Zbl 1327.35008 Carter, Paul; Sandstede, Björn 33 2015 Invariant manifolds and global bifurcations. Zbl 1374.37076 Guckenheimer, John; Krauskopf, Bernd; Osinga, Hinke M.; Sandstede, Björn 9 2015 Regularity of center manifolds via the graph transform. Zbl 1356.37067 Sandstede, Björn; Theerakarn, Thunwa 2 2015 Bifurcations to travelling planar spots in a three-component FitzHugh-Nagumo system. Zbl 1341.37029 van Heijster, Peter; Sandstede, Björn 19 2014 Nonlinear stability of source defects in the complex Ginzburg-Landau equation. Zbl 1291.35374 Beck, Margaret; Nguyen, Toan T.; Sandstede, Björn; Zumbrun, Kevin 17 2014 Predicting the bifurcation structure of localized snaking patterns. Zbl 1288.35066 Makrides, Elizabeth; Sandstede, Björn 11 2014 Oscillons in the planar Ginzburg-Landau equation with 2:1 forcing. Zbl 1321.35216 McQuighan, Kelly; Sandstede, Björn 7 2014 Multijam solutions in traffic models with velocity-dependent driver strategies. Zbl 1318.34064 Carter, Paul; Christiansen, Peter Leth; Gaididei, Yuri B.; Gorria, Carlos; Sandstede, Björn; Sørensen, Mads Peter; Starke, Jens 1 2014 Stability of pulse solutions for the discrete FitzHugh-Nagumo system. Zbl 1271.34008 Hupkes, H. J.; Sandstede, B. 25 2013 Spots in the Swift-Hohenberg equation. Zbl 1282.35028 McCalla, S. G.; Sandstede, B. 16 2013 Homoclinic flip bifurcations in conservative reversible systems. Zbl 1314.35107 Sandstede, Björn 3 2013 Diffusive mixing of periodic wave trains in reaction-diffusion systems. Zbl 1298.35108 Sandstede, Björn; Scheel, Arnd; Schneider, Guido; Uecker, Hannes 29 2012 Snakes and isolas in non-reversible conservative systems. Zbl 1254.35121 Sandstede, Björn; Xu, Yancong 9 2012 Coexistence of stable spots and fronts in a three-component FitzHugh-Nagumo system. Zbl 1258.35123 van Heijster, Peter; Sandstede, Björn 5 2012 Towards nonlinear stability of sources via a modified Burgers equation. Zbl 1236.35086 Beck, Margaret; Nguyen, Toan; Sandstede, Björn; Zumbrun, Kevin 3 2012 Planar radial spots in a three-component FitzHugh-Nagumo system. Zbl 1233.35012 van Heijster, Peter; Sandstede, Björn 24 2011 Propagation failure in the discrete Nagumo equation. Zbl 1235.34034 Hupkes, H. J.; Pelinovsky, D.; Sandstede, B. 17 2011 Isolas of 2-pulse solutions in homoclinic snaking scenarios. Zbl 1222.34040 Knobloch, Jürgen; Lloyd, David J. B.; Sandstede, Björn; Wagenknecht, Thomas 13 2011 Perturbations of embedded eigenvalues for the planar bilaplacian. Zbl 1219.35148 Derks, Gianne; Sasane, Sara Maad; Sandstede, Björn 3 2011 Homoclinic and heteroclinic bifurcations in vector fields. Zbl 1243.37024 Homburg, Ale Jan; Sandstede, Björn 95 2010 To snake or not to snake in the planar Swift-Hohenberg equation. Zbl 1200.37014 Avitabile, Daniele; Lloyd, David J. B.; Burke, John; Knobloch, Edgar; Sandstede, Björn 39 2010 Traveling pulse solutions for the discrete FitzHugh-Nagumo system. Zbl 1211.34007 Hupkes, Hermen Jan; Sandstede, Björn 26 2010 Snaking of radial solutions of the multi-dimensional Swift-Hohenberg equation: a numerical study. Zbl 1195.35042 McCalla, Scott; Sandstede, Björn 26 2010 Nonlinear stability of time-periodic viscous shocks. Zbl 1221.35054 Beck, Margaret; Sandstede, Björn; Zumbrun, Kevin 20 2010 Evans functions for periodic waves on infinite cylindrical domains. Zbl 1180.35096 Oh, Myunghyun; Sandstede, Björn 10 2010 Nonlinear stability of semidiscrete shocks for two-sided schemes. Zbl 1219.35138 Beck, Margaret; Hupkes, Hermen Jan; Sandstede, Björn; Zumbrun, Kevin 8 2010 The dynamics of modulated wave trains. Zbl 1179.35005 Doelman, Arjen; Sandstede, Björn; Scheel, Arnd; Schneider, Guido 72 2009 Snakes, ladders, and isolas of localized patterns. Zbl 1200.37015 Beck, Margaret; Knobloch, Jürgen; Lloyd, David J. B.; Sandstede, Björn; Wagenknecht, Thomas 58 2009 Localized radial solutions of the Swift-Hohenberg equation. Zbl 1202.35025 Lloyd, David; Sandstede, Björn 29 2009 Modulated wave trains in lattice differential systems. Zbl 1188.35038 Hupkes, Hermen Jan; Sandstede, Björn 7 2009 Nonlinear convective stability of travelling fronts near Turing and Hopf instabilities. Zbl 1177.35031 Beck, Margaret; Ghazaryan, Anna; Sandstede, Björn 5 2009 Existence of multi-pulses of the regularized short-pulse and Ostrovsky equations. Zbl 1180.35053 Manukian, Vahagn; Costanzino, Nicola; Jones, Christopher K. R. T.; Sandstede, Björn 3 2009 Multi-hump pulses in systems with reflection and phase invariance. Zbl 1179.35319 Manukian, Vahagn; Sandstede, Björn 3 2009 Localized hexagon patterns of the planar Swift-Hohenberg equation. Zbl 1168.35311 Lloyd, David J. B.; Sandstede, Björn; Avitabile, Daniele; Champneys, Alan R. 56 2008 Relative morse indices, Fredholm indices, and group velocities. Zbl 1144.35410 Sandstede, Björn; Scheel, Arnd 32 2008 Hopf bifurcation from viscous shock waves. Zbl 1195.35043 Sandstede, Björn; Scheel, Arnd 21 2008 Perturbations of embedded eigenvalues for the biLaplacian on a cylinder. Zbl 1164.35063 Derks, Gianne; Maad, Sara; Sandstede, Björn 2 2008 Computing absolute and essential spectra using continuation. Zbl 1119.65114 Rademacher, Jens D. M.; Sandstede, Björn; Scheel, Arnd 59 2007 Evans functions and nonlinear stability of traveling waves in neuronal network models. Zbl 1144.35342 Sandstede, Björn 21 2007 Numerical computation of coherent structures. Zbl 1129.65071 Champneys, Alan R.; Sandstede, Björn 18 2007 Period-doubling of spiral waves and defects. Zbl 1210.37053 Sandstede, Björn; Scheel, Arnd 14 2007 Nonlinear convective instability of turing-unstable fronts near onset: a case study. Zbl 1210.37054 Ghazaryan, Anna; Sandstede, Björn 9 2007 Efficient computation of analytic bases in Evans function analysis of large systems. Zbl 1104.65081 Humpherys, Jeffrey; Sandstede, Björn; Zumbrun, Kevin 28 2006 Counting eigenvalues via the Krein signature in infinite-dimensional Hamiltonian systems. Zbl 1080.37070 Kapitula, Todd; Kevrekidis, Panayotis G.; Sandstede, Björn 43 2005 Basin boundaries and bifurcations near convective instabilities: a case study. Zbl 1065.35054 Sandstede, Björn; Scheel, Arnd 7 2005 Determining stability of pulses for partial differential equations with time delays. Zbl 1083.35127 Samaey, Giovanni; Sandstede, Björn 3 2005 Absolute instabilities of standing pulses. Zbl 1109.37053 Sandstede, Björn; Scheel, Arnd 3 2005 Viscous perturbations of marginally stable Euler flow and finite-time Melnikov theory. Zbl 1067.35073 Grenier, Emmanuel; Jones, Christopher K. R. T.; Rousset, Frederic; Sandstede, Björn 3 2005 Counting eigenvalues via the Krein signature in infinite-dimensional Hamiltonian systems. Zbl 1056.37080 Kapitula, Todd; Kevrekidis, Panayotis G.; Sandstede, Björn 80 2004 Defects in oscillatory media: toward a classification. Zbl 1059.37062 Sandstede, Björn; Scheel, Arnd 53 2004 Evans function and blow-up methods in critical eigenvalue problems. Zbl 1068.35080 Sandstede, Björn; Scheel, Arnd 24 2004 The Evans function for nonlocal equations. Zbl 1059.35137 Kapitula, Todd; Kutz, Nathan; Sandstede, Björn 15 2004 Eigenvalues and resonances using the Evans function. Zbl 1074.34077 Kapitula, Todd; Sandstede, Björn 13 2004 A plethora of three-dimensional periodic travelling gravity-capillary water waves with multipulse transverse profiles. Zbl 1136.76328 Groves, M. D.; Sandstede, B. 2 2004 Propagation of hexagonal patterns near onset. Zbl 1044.37049 Doelman, Arjen; Sandstede, Björn; Scheel, Arnd; Schneider, Guido 38 2003 Stability of travelling waves. Zbl 1056.35022 Sandstede, Björn 190 2002 Numerical continuation, and computation of normal forms. Zbl 1034.37048 Beyn, Wolf-Jürgen; Champneys, Alan; Doedel, Eusebius; Govaerts, Willy; Kuznetsov, Yuri A.; Sandstede, Björn 36 2002 Exponential dichotomies for linear non-autonomous functional differential equations of mixed type. Zbl 1047.34079 Härterich, Jörg; Sandstede, Björn; Scheel, Arnd 31 2002 Edge bifurcations for near integrable systems via Evans function techniques. Zbl 1092.37048 Kapitula, Todd; Sandstede, Björn 22 2002 On the structure of spectra of modulated travelling waves. Zbl 0994.35025 Sandstede, Björn; Scheel, Arnd 40 2001 On the stability of periodic travelling waves with large spatial period. Zbl 0994.34035 Sandstede, Björn; Scheel, Arnd 29 2001 Essential instabilities of fronts: bifurcation, and bifurcation failure. Zbl 1055.37069 Sandstede, Björn; Scheel, Arnd 14 2001 Absolute and convective instabilities of waves on unbounded and large bounded domains. Zbl 0963.34072 Sandstede, Björn; Scheel, Arnd 121 2000 Gluing unstable fronts and backs together can produce stable pulses. Zbl 0977.34073 Sandstede, Björn; Scheel, Arnd 23 2000 Center manifolds for homoclinic solutions. Zbl 0974.34049 Sandstede, Björn 18 2000 Melnikov theory for finite-time vector fields. Zbl 0962.37007 Sandstede, Björn; Balasuriya, Sanjeeva; Jones, Christopher K. R. T.; Miller, Patrick 16 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. 24 1999 Essential instability of pulses and bifurcations to modulated travelling waves. Zbl 0956.35065 Sandstede, B.; Scheel, A. 9 1999 All-optical clock recovery using multisection distributed-feedback lasers. Zbl 0933.37072 Peterhof, D.; Sandstede, B. 5 1999 Dynamical behavior of patterns with Euclidean symmetry. Zbl 0966.35064 Sandstede, Björn; Scheel, Arnd; Wulff, Claudia 4 1999 Stability of bright solitary-wave solutions to perturbed nonlinear Schrödinger equations. Zbl 0935.35150 Kapitula, Todd; Sandstede, Björn 67 1998 Stability of multiple-pulse solutions. Zbl 0887.35020 Sandstede, Björn 49 1998 Stability of \(N\)-fronts bifurcating from a twisted heteroclinic loop and an application to the FitzHugh-Nagumo equation. Zbl 0914.34050 Sandstede, Björn 14 1998 Viscous perturbations of vorticity-conserving flows and separatrix splitting. Zbl 0913.76014 Balasuriya, Sanjeeva; Jones, Christopher K. R. T.; Sandstede, Björn 10 1998 Fast and slow waves in the FitzHugh-Nagumo equation. Zbl 0898.34050 Krupa, Martin; Sandstede, Björn; Szmolyan, Peter 62 1997 Exponential dichotomies for solitary-wave solutions of semilinear elliptic equations on infinite cylinders. Zbl 0908.35048 Peterhof, Daniela; Sandstede, Björn; Scheel, Arnd 50 1997 ...and 15 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,570 Authors 56 Sandstede, Björn 55 Scheel, Arnd 51 Zumbrun, Kevin R. 28 Kevrekidis, Panayotis G. 22 Hupkes, Hermen Jan 22 Stefanov, Atanas G. 20 Pelinovsky, Dmitry Efimovich 20 Sherratt, Jonathan A. 19 Champneys, Alan R. 18 Rademacher, Jens Diederich Michael 18 van Heijster, Peter 17 Doelman, Arjen 17 Kapitula, Todd M. 17 Latushkin, Yuri 16 Johnson, Mathew A. 16 Jones, Christopher K. R. T. 15 Rodrigues, Luis Miguel 15 Zhu, Deming 14 Carter, Paul M. 14 Humpherys, Jeffrey 14 Krauskopf, Bernd 14 Kühn, Christian 14 Osinga, Hinke Maria 13 Beck, Margaret 13 Faye, Grégory 13 Holzer, Matt 13 Stanislavova, Milena 13 Van Vleck, Erik S. 12 Barker, Blake 12 Bramburger, Jason J. 12 de Rijk, Björn 12 Liu, Xingbo 12 Lloyd, David J. B. 12 Marangell, Robert 12 Rodrigues, Alexandre A. P. 12 Schneider, Guido 11 Beyn, Wolf-Jürgen 11 Haragus, Mariana 11 Knobloch, Edgar 11 Xu, Yancong 10 Balasuriya, Sanjeeva 10 Kooi, Bob W. 10 Lyng, Gregory Daniel 10 Plaza, Ramón G. 10 Rodríguez-Luis, Alejandro J. 10 van den Berg, Jan Bouwe 9 Kuznetsov, Yuri Alexandrovich 9 Noble, Pascal 9 Poláčik, Peter 9 Promislow, Keith Steven 9 Wechselberger, Martin 9 Yagasaki, Kazuyuki 8 Ashwin, Peter 8 Avery, Montie 8 Boer, Martin P. 8 Bridges, Thomas J. 8 Deconinck, Bernard 8 Knobloch, Jürgen 8 Lafortune, Stéphane 8 Lamb, Jeroen S. W. 8 Lessard, Jean-Philippe 8 Melbourne, Ian 8 Parker, Ross 8 Pogan, Alin 8 Sukhtayev, Alim 7 Cox, Graham 7 Goh, Ryan N. 7 Hakkaev, Sevdzhan A. 7 Howard, Peter 7 Jung, Soyeun 7 Lin, Xiaobiao 7 Nishiura, Yasumasa 7 Shen, Wenxian 7 Szmolyan, Peter 6 Algaba, Antonio 6 Avitabile, Daniele 6 Coombes, Stephen 6 Ghazaryan, Anna R. 6 Homburg, Ale Jan 6 Lord, Gabriel James 6 Manukian, Vahagn 6 Meijer, Hil G. E. 6 Mireles-James, Jason D. 6 Wang, Yi 6 Wulff, Claudia 6 Zhang, Linghai 6 Zhang, Tiansi 5 Al Saadi, Fahad 5 Chen, Chaonien 5 Cornwell, Paul 5 Derks, Gianne 5 Düll, Wolf-Patrick 5 Frantzeskakis, Dimitri J. 5 Geng, Fengjie 5 Ghazaryan, Anna 5 Giraldo, Andrus 5 Kevrekidis, Ioannis George 5 Laing, Carlo R. 5 LeBlanc, Victor G. 5 Lou, Bendong ...and 1,470 more Authors all top 5 Cited in 205 Serials 164 Physica D 110 Journal of Differential Equations 73 SIAM Journal on Applied Dynamical Systems 57 Journal of Dynamics and Differential Equations 44 Nonlinearity 42 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 37 Journal of Nonlinear Science 29 Archive for Rational Mechanics and Analysis 27 SIAM Journal on Mathematical Analysis 27 Chaos 23 Journal of Mathematical Analysis and Applications 20 Communications in Nonlinear Science and Numerical Simulation 19 Journal of Fluid Mechanics 17 Transactions of the American Mathematical Society 16 Communications in Mathematical Physics 16 Journal of Mathematical Biology 16 Discrete and Continuous Dynamical Systems. 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Nonlinear Differential Equations and Applications ...and 105 more Serials all top 5 Cited in 43 Fields 792 Partial differential equations (35-XX) 475 Dynamical systems and ergodic theory (37-XX) 360 Ordinary differential equations (34-XX) 205 Biology and other natural sciences (92-XX) 148 Numerical analysis (65-XX) 131 Fluid mechanics (76-XX) 61 Operator theory (47-XX) 38 Optics, electromagnetic theory (78-XX) 32 Mechanics of particles and systems (70-XX) 30 Mechanics of deformable solids (74-XX) 27 Statistical mechanics, structure of matter (82-XX) 26 Difference and functional equations (39-XX) 22 Integral equations (45-XX) 15 Calculus of variations and optimal control; optimization (49-XX) 15 Probability theory and stochastic processes (60-XX) 15 Classical thermodynamics, heat transfer (80-XX) 15 Quantum theory (81-XX) 13 Differential geometry (53-XX) 13 Systems theory; control (93-XX) 12 Global analysis, analysis on manifolds (58-XX) 11 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 9 Algebraic topology (55-XX) 9 Geophysics (86-XX) 7 Combinatorics (05-XX) 6 Computer science (68-XX) 5 Special functions (33-XX) 5 Information and communication theory, circuits (94-XX) 4 Approximations and expansions (41-XX) 4 Functional analysis (46-XX) 4 Manifolds and cell complexes (57-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 2 General and overarching topics; collections (00-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Real functions (26-XX) 2 Statistics (62-XX) 2 Relativity and gravitational theory (83-XX) 1 History and biography (01-XX) 1 Measure and integration (28-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Integral transforms, operational calculus (44-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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