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Author ID: sandstede.bjorn Recent zbMATH articles by "Sandstede, Björn"
Published as: Sandstede, Björn; Sandstede, B.; Sandstede, Bjorn
Homepage: http://www.bjornsandstede.com/
External Links: MGP · ORCID · Wikidata · Google Scholar · dblp · GND · IdRef
Awards: J.D. Crawford Prize (2001)
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

Publications by Year

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 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
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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. Series B
15 Applied Mathematics and Computation
14 Nonlinear Dynamics
13 Journal of Mathematical Physics
13 SIAM Journal on Applied Mathematics
13 Discrete and Continuous Dynamical Systems
13 Dynamical Systems
11 Bulletin of Mathematical Biology
11 Journal of Computational and Applied Mathematics
10 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
10 Discrete and Continuous Dynamical Systems. Series S
9 Mathematical Biosciences
9 ZAMP. Zeitschrift für angewandte Mathematik und Physik
9 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
8 Chaos, Solitons and Fractals
8 Journal of Functional Analysis
8 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
8 Journal of Computational Dynamics
7 Mathematics and Computers in Simulation
7 Proceedings of the American Mathematical Society
7 Studies in Applied Mathematics
7 Nonlinear Analysis. Real World Applications
6 Mathematical Methods in the Applied Sciences
6 Mathematics of Computation
6 Indiana University Mathematics Journal
6 Quarterly of Applied Mathematics
6 Applied Mathematics Letters
6 Japan Journal of Industrial and Applied Mathematics
6 Journal de Mathématiques Pures et Appliquées. Neuvième Série
6 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
6 Communications on Pure and Applied Analysis
6 The Journal of Mathematical Neuroscience
5 Applicable Analysis
5 Computers & Mathematics with Applications
5 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
5 Physics of Fluids
5 Journal of Theoretical Biology
4 Biological Cybernetics
4 Physics Letters. A
4 BIT
4 Memoirs of the American Mathematical Society
4 Numerische Mathematik
4 Chinese Annals of Mathematics. Series B
4 Dynamics and Stability of Systems
4 European Journal of Applied Mathematics
4 Celestial Mechanics and Dynamical Astronomy
4 Abstract and Applied Analysis
4 Regular and Chaotic Dynamics
4 Comptes Rendus. Mathématique. Académie des Sciences, Paris
4 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
3 Computer Methods in Applied Mechanics and Engineering
3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
3 Integral Equations and Operator Theory
3 SIAM Journal on Numerical Analysis
3 Calculus of Variations and Partial Differential Equations
3 Journal of Difference Equations and Applications
3 Journal of Mathematical Chemistry
3 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
3 Acta Mathematica Sinica. English Series
3 Journal of Evolution Equations
3 Journal of Hyperbolic Differential Equations
3 Mathematical Biosciences and Engineering
3 Mathematical Modelling of Natural Phenomena
3 Mathematics of Climate and Weather Forecasting
2 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
2 Journal of Engineering Mathematics
2 Wave Motion
2 Advances in Mathematics
2 Mathematische Nachrichten
2 Monatshefte für Mathematik
2 Numerical Functional Analysis and Optimization
2 Systems & Control Letters
2 Bulletin of the Korean Mathematical Society
2 Numerical Methods for Partial Differential Equations
2 Mathematical and Computer Modelling
2 Journal of Scientific Computing
2 Numerical Algorithms
2 Communications in Partial Differential Equations
2 International Journal of Computer Mathematics
2 SIAM Review
2 Indagationes Mathematicae. New Series
2 Electronic Journal of Differential Equations (EJDE)
2 Computational and Applied Mathematics
2 NoDEA. Nonlinear Differential Equations and Applications
...and 105 more Serials
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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)

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