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Krauskopf, Bernd

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Author ID: krauskopf.bernd Recent zbMATH articles by "Krauskopf, Bernd"
Published as: Krauskopf, Bernd; Krauskopf, B.
External Links: ORCID
Documents Indexed: 132 Publications since 1993, including 3 Books
all top 5

Co-Authors

8 single-authored
55 Osinga, Hinke Maria
9 Green, Kirk
7 Hittmeyer, Stefanie
7 Lowenberg, Mark H.
7 Oldeman, Bart E.
7 Sieber, Jan
7 Wilson, Richard Eddie
6 Doedel, Eusebius J.
5 Barton, David A. W.
5 Champneys, Alan R.
5 Desroches, Mathieu
5 Kriete, Hartje
5 Neild, Simon A.
4 England, J. P.
4 Erzgräber, Hartmut
4 Keane, Andrew
4 Lenstra, Daan
4 Wieczorek, Sebastian M.
3 Aguirre, Pablo
3 Engelborghs, Koen
3 Giraldo, Andrus
3 Guckenheimer, John M.
3 Langfield, Peter
3 Postlethwaite, Claire M.
2 Broderick, Neil G. R.
2 Coetzee, Etienne B.
2 Collins, Peter J.
2 Creaser, Jennifer L.
2 Hasan, Cris R.
2 Kiss, Gabor
2 Lee, Clare M.
2 Mujica, José
2 Rousseau, Christiane
2 Shinohara, Katsutoshi
2 Thota, Phanikrishna
1 Broer, Henk W.
1 Calleja, Renato C.
1 Dellnitz, Michael
1 di Bernardo, Mario
1 Dijkstra, Henk A.
1 Galán-Vioque, Jorge
1 Henderson, Michael E.
1 Hogan, John Wesley
1 Homburg, Ale Jan
1 Homer, Martin E.
1 Howcroft, Chris
1 Humphries, Antony R.
1 Inagaki, Mizuho
1 Junge, Oliver
1 Khibnik, Alexander I.
1 Kirk, Vivien
1 Knowles, James A. C.
1 Kühn, Christian
1 Laing, Carlo R.
1 Marten, Frank
1 Musoke, Elle
1 Orosz, Gábor
1 Otupiri, Robert
1 Peckham, Bruce B.
1 Purewal, A. S.
1 Rieß, Thorsten
1 Rottschäfer, Vivi
1 Rübel, Jan
1 Samaey, Giovanni
1 Sandstede, Björn
1 Schilder, Frank
1 Sharma, Sanjiv
1 Simpson, Thomas B.
1 Słowiński, Piotr
1 Starke, Jens
1 Szalai, Róbert
1 Terkovics, N.
1 Terrien, Soizic
1 Tzanov, Vassil V.
1 Vegter, Gert
1 Vladimirsky, Alexander
1 Wechselberger, Martin
1 Wille, Emilio C. G.
1 Zhang, Wenjun

Publications by Year

Citations contained in zbMATH Open

105 Publications have been cited 1,112 times in 625 Documents Cited by Year
Mixed-mode oscillations with multiple time scales. Zbl 1250.34001
Desroches, Mathieu; Guckenheimer, John; Krauskopf, Bernd; Kuehn, Christian; Osinga, Hinke M.; Wechselberger, Martin
126
2012
A survey of methods for computing (un)stable manifolds of vector fields. Zbl 1086.34002
Krauskopf, B.; Osinga, H. M.; Doedel, E. J.; Henderson, M. E.; Guckenheimer, J.; Vladimirsky, A.; Dellnitz, M.; Junge, O.
77
2005
Resonant homoclinic flip bifurcations. Zbl 0990.37038
Homburg, Ale Jan; Krauskopf, Bernd
48
2000
Growing 1D and quasi-2D unstable manifolds of maps. Zbl 0915.65075
Krauskopf, Bernd; Osinga, Hinke
40
1998
Numerical unfoldings of codimension-three resonant homoclinic flip bifurcations. Zbl 0990.37039
Oldeman, Bart E.; Krauskopf, Bernd; Champneys, Alan R.
31
2001
A Lin’s method approach to finding and continuing heteroclinic connections involving periodic orbits. Zbl 1163.34028
Krauskopf, Bernd; Rieß, Thorsten
29
2008
Bifurcation analysis of an inverted pendulum with delayed feedback control near a triple-zero eigenvalue singularity. Zbl 1054.34121
Sieber, Jan; Krauskopf, Bernd
29
2004
Computing one-dimensional stable manifolds and stable sets of planar maps without the inverse. Zbl 1059.37067
England, J. P.; Krauskopf, B.; Osinga, H. M.
27
2004
Two-dimensional global manifolds of vector fields. Zbl 0983.37110
Krauskopf, Bernd; Osinga, Hinke
27
1999
Numerical continuation methods for dynamical systems. Path following and boundary value problems. Zbl 1117.65005
Krauskopf, Bernd (ed.); Osinga, Hinke M. (ed.); Galán-Vioque, Jorge (ed.)
26
2007
Computing invariant manifolds via the continuation of orbit segments. Zbl 1126.65111
Krauskopf, Bernd; Osinga, Hinke M.
23
2007
Global bifurcations of the Lorenz manifold. Zbl 1118.34042
Doedel, Eusebius; Krauskopf, Bernd; Osinga, Hinke M.
23
2006
Mixed-mode oscillations and slow manifolds in the self-coupled Fitzhugh-Nagumo system. Zbl 1306.34050
Desroches, Mathieu; Krauskopf, Bernd; Osinga, Hinke M.
22
2008
Computing geodesic level sets on global (un)stable manifolds of vector fields. Zbl 1089.37014
Krauskopf, Bernd; Osinga, Hinke M.
22
2003
Global study of a family of cubic Liénard equations. Zbl 0920.58034
Khibnik, Alexander I.; Krauskopf, Bernd; Rousseau, Christiane
22
1998
Numerical continuation of canard orbits in slow-fast dynamical systems. Zbl 1191.34072
Desroches, M.; Krauskopf, B.; Osinga, H. M.
19
2010
The geometry of slow manifolds near a folded node. Zbl 1167.34365
Desroches, M.; Krauskopf, B.; Osinga, H. M.
19
2008
Globalizing two-dimensional unstable manifolds of maps. Zbl 0955.37016
Krauskopf, Bernd; Osinga, Hinke
17
1998
Global invariant manifolds in the transition to preturbulence in the Lorenz system. Zbl 1246.37037
Doedel, Eusebius J.; Krauskopf, Bernd; Osinga, Hinke M.
14
2011
Resonance phenomena in a scalar delay differential equation with two state-dependent delays. Zbl 1371.34115
Calleja, R. C.; Humphries, A. R.; Krauskopf, B.
14
2017
Global organization of phase space in the transition to chaos in the Lorenz system. Zbl 1332.34083
Doedel, Eusebius J.; Krauskopf, Bernd; Osinga, Hinke M.
13
2015
How to find a codimension-one heteroclinic cycle between two periodic orbits. Zbl 1246.34047
Zhang, Wenjun; Krauskopf, Bernd; Kirk, Vivien
12
2012
Investigating the consequences of global bifurcations for two-dimensional invariant manifolds of vector fields. Zbl 1216.34035
Aguirre, Pablo; Doedel, Eusebius J.; Krauskopf, Bernd; Osinga, Hinke M.
12
2011
Death of period-doublings: Locating the homoclinic-doubling cascade. Zbl 1011.34036
Oldeman, Bart E.; Krauskopf, Bernd; Champneys, Alan R.
12
2000
Tangency bifurcations of global Poincaré maps. Zbl 1159.37313
Lee, Clare M.; Collins, Pieter J.; Krauskopf, Bernd; Osinga, Hinke M.
12
2008
Bifurcations and multiple traffic jams in a car-following model with reaction-time delay. Zbl 1097.90015
Orosz, Gábor; Krauskopf, Bernd; Wilson, R. Eddie
12
2005
Global invariant manifolds near homoclinic orbits to a real saddle: (non)orientability and flip bifurcation. Zbl 1284.34069
Aguirre, Pablo; Krauskopf, Bernd; Osinga, Hinke M.
11
2013
Codimension-three unfoldings of reflectionally symmetric planar vector fields. Zbl 0904.34025
Krauskopf, Bernd; Rousseau, Christiane
11
1997
Computing unstable manifolds of periodic orbits in delay differential equations. Zbl 1017.65102
Krauskopf, Bernd; Green, Kirk
11
2003
Homoclinic branch switching: a numerical implementation of Lin’s method. Zbl 1057.37073
Oldeman, Bart E.; Champneys, Alan R.; Krauskopf, Bernd
10
2003
Extending the permissible control loop latency for the controlled inverted pendulum. Zbl 1079.34060
Sieber, J.; Krauskopf, B.
10
2005
Bifurcations of global reinjection orbits near a saddle-node Hopf bifurcation. Zbl 1109.37042
Krauskopf, Bernd; Oldeman, Bart E.
10
2006
Collocation schemes for periodic solutions of neutral delay differential equations. Zbl 1108.65089
Barton, David A. W.; Krauskopf, Bernd; Wilson, R. Eddie
10
2006
The geometry of mixed-mode oscillations in the Olsen model for the peroxidase-oxidase reaction. Zbl 1187.37121
Desroches, Mathieu; Krauskopf, Bernd; Osinga, Hinke M.
9
2009
Investigating torus bifurcations in the forced Van der Pol oscillator. Zbl 0987.37079
Krauskopf, Bernd; Osinga, Hinke M.
9
2000
Stability implications of delay distribution for first-order and second-order systems. Zbl 1202.34127
Kiss, Gábor; Krauskopf, Bernd
8
2010
Bifurcation sequences at 1:4 resonance: An inventory. Zbl 0804.58041
Krauskopf, Bernd
8
1994
Bifurcations of \(n\)-homoclinic orbits in optically injected lasers. Zbl 1115.34045
Wieczorek, Sebastian; Krauskopf, Bernd
8
2005
Bifurcation analysis of delay-induced resonances of the El-Niño southern oscillation. Zbl 1320.86004
Krauskopf, Bernd; Sieber, Jan
8
2014
Computing one-dimensional global manifolds of Poincaré maps by continuation. Zbl 1090.37055
England, J. P.; Krauskopf, B.; Osinga, H. M.
8
2005
Invariant manifolds and global bifurcations. Zbl 1374.37076
Guckenheimer, John; Krauskopf, Bernd; Osinga, Hinke M.; Sandstede, Björn
8
2015
Complex balancing motions of an inverted pendulum subject to delayed feedback control. Zbl 1070.34105
Sieber, J.; Krauskopf, B.
7
2004
Delayed feedback versus seasonal forcing: resonance phenomena in an El Niño Southern Oscillation model. Zbl 1320.37038
Keane, Andrew; Krauskopf, Bernd; Postlethwaite, Claire
7
2015
The Lorenz manifold as a collection of geodesic level sets. Zbl 1083.37019
Krauskopf, Bernd; Osinga, Hinke M.
7
2004
Hausdorff convergence of Julia sets. Zbl 0915.58085
Krauskopf, Bernd; Kriete, Hartje
7
1999
Bistability and torus break-up in a semiconductor laser with phase-conjugate feedback. Zbl 1023.34064
Green, Kirk; Krauskopf, Bernd; Engelborghs, Koen
7
2002
Solving Winfree’s puzzle: the isochrons in the FitzHugh-Nagumo model. Zbl 1374.37032
Langfield, Peter; Krauskopf, Bernd; Osinga, Hinke M.
7
2014
Finding first foliation tangencies in the Lorenz system. Zbl 1381.37097
Creaser, Jennifer L.; Krauskopf, Bernd; Osinga, Hinke M.
7
2017
Interacting global invariant sets in a planar map model of wild chaos. Zbl 1304.37023
Hittmeyer, Stefanie; Krauskopf, Bernd; Osinga, Hinke M.
6
2013
Computing two-dimensional global invariant manifolds in slow-fast systems. Zbl 1140.37365
England, J. P.; Krauskopf, B.; Osinga, H. M.
6
2007
Global invariant manifolds near a Shilnikov homoclinic bifurcation. Zbl 1309.34077
Aguirre, Pablo; Krauskopf, Bernd; Osinga, Hinke M.
6
2014
\(\alpha\)-flips and T-points in the Lorenz system. Zbl 1347.37052
Creaser, Jennifer L.; Krauskopf, Bernd; Osinga, Hinke M.
6
2015
A two-parameter study of the locking region of a semiconductor laser subject to phase-conjugate feedback. Zbl 1088.37522
Green, Kirk; Krauskopf, Bernd; Samaey, Giovanni
6
2003
Compound laser modes of mutually delay-coupled lasers. Zbl 1097.78014
Erzgräber, Hartmut; Krauskopf, Bernd; Lenstra, Daan
6
2006
Periodic solutions and their bifurcations in a nonsmooth second-order delay differential equation. Zbl 1121.34071
Barton, David A. W.; Krauskopf, Bernd; Wilson, R. Eddie
6
2006
Saddle invariant objects and their global manifolds in a neighborhood of a homoclinic flip bifurcation of case B. Zbl 1385.37028
Giraldo, Andrus; Krauskopf, Bernd; Osinga, Hinke M.
6
2017
Global quantitative predictions of complex laser dynamics. Zbl 1244.78008
Wieczorek, Sebastian; Simpson, Thomas B.; Krauskopf, Bernd; Lenstra, Daan
5
2002
Control-based bifurcation analysis for experiments. Zbl 1170.70399
Sieber, Jan; Krauskopf, Bernd
5
2008
Interaction of torsion and lateral bending in aircraft nose landing gear shimmy. Zbl 1176.74091
Thota, Phanikrishna; Krauskopf, Bernd; Lowenberg, Mark
5
2009
Crocheting the Lorenz manifold. Zbl 1073.37036
Osinga, Hinke M.; Krauskopf, Bernd
5
2004
Forward-time and backward-time isochrons and their interactions. Zbl 1358.37047
Langfield, Peter; Krauskopf, Bernd; Osinga, Hinke M.
5
2015
A global bifurcation analysis of the subcritical Hopf normal form subject to Pyragas time-delayed feedback control. Zbl 1323.37034
Purewal, A. S.; Postlethwaite, C. M.; Krauskopf, B.
5
2014
Explicit periodic solutions in a model of a relay controller with delay and forcing. Zbl 1094.34048
Barton, David A. W.; Krauskopf, Bernd; Wilson, R. Eddie
5
2005
Kernel convergence of hyperbolic components. Zbl 0893.32011
Krauskopf, Bernd; Kriete, Hartje
5
1997
Accumulating regions of winding periodic orbits in optically driven lasers. Zbl 1047.78502
Krauskopf, Bernd; Wieczorek, Sebastian
5
2002
Saddle slow manifolds and canard orbits in \(\mathbb{R}^{4}\) and application to the full Hodgkin-Huxley model. Zbl 1395.92038
Hasan, Cris R.; Krauskopf, Bernd; Osinga, Hinke M.
5
2018
Tangencies between global invariant manifolds and slow manifolds near a singular Hopf bifurcation. Zbl 1393.37035
Mujica, José; Krauskopf, Bernd; Osinga, Hinke M.
5
2018
Stabilizing effect of delay distribution for a class of second-order systems without instantaneous feedback. Zbl 1219.34094
Kiss, Gábor; Krauskopf, Bernd
4
2011
The bifurcation set for the \(1:4\) resonance problem. Zbl 0828.34027
Krauskopf, Bernd
4
1994
Bifurcations of stable sets in noninvertible planar maps. Zbl 1085.37036
England, J. P.; Krauskopf, B.; Osinga, H. M.
4
2005
One-dimensional unstable eigenfunction and manifold computations in delay differential equations. Zbl 1052.65115
Green, Kirk; Krauskopf, Bernd; Engelborghs, Koen
4
2004
Convergence of Julia sets in the approximation of \(\lambda e^ z\) by \(\lambda[1+(z/d)]^ d\). Zbl 0872.30019
Krauskopf, Bernd
4
1993
Homoclinic bifurcations in a neutral delay model of a transmission line oscillator. Zbl 1129.34049
Barton, David A. W.; Krauskopf, Bernd; Wilson, R. Eddie
4
2007
Nonlinear dynamics of torsional waves in a drill-string model with spatial extent. Zbl 1269.74114
Barton, David A. W.; Krauskopf, Bernd; Wilson, R. Eddie
4
2010
Numerical continuation and bifurcation analysis in aircraft design: an industrial perspective. Zbl 1353.93084
Sharma, Sanjiv; Coetzee, Etienne B.; Lowenberg, Mark H.; Neild, Simon A.; Krauskopf, Bernd
4
2015
The ECM-backbone of the Lang-Kobayashi equations: a geometric picture. Zbl 1148.78331
Rottschäfer, Vivi; Krauskopf, Bernd
3
2007
Interactions of the Julia set with critical and (un)stable sets in an angle-doubling map on \(\mathbb{C}\backslash\{0\}\). Zbl 1314.37034
Hittmeyer, Stefanie; Krauskopf, Bernd; Osinga, Hinke M.
3
2015
Chaos and wild chaos in Lorenz-type systems. Zbl 1318.37009
Osinga, Hinke M.; Krauskopf, Bernd; Hittmeyer, Stefanie
3
2014
From wild Lorenz-like to wild Rovella-like dynamics. Zbl 1357.37059
Hittmeyer, Stefanie; Krauskopf, Bernd; Osinga, Hinke M.
3
2015
Investigating irregular behavior in a model for the El Niño southern oscillation with positive and negative delayed feedback. Zbl 1351.37270
Keane, Andrew; Krauskopf, Bernd; Postlethwaite, Claire
3
2016
A planar model system for the saddle-node Hopf bifurcation with global reinjection. Zbl 1061.37028
Krauskopf, Bernd; Oldeman, Bart E.
3
2004
Bifurcation analysis of a semiconductor laser with filtered optical feedback. Zbl 1210.15006
Erzgräber, Hartmut; Krauskopf, Bernd; Lenstra, Daan
3
2007
Existence of blenders in a Hénon-like family: geometric insights from invariant manifold computations. Zbl 1402.37027
Hittmeyer, Stefanie; Krauskopf, Bernd; Osinga, Hinke M.; Shinohara, Katsutoshi
3
2018
Cascades of global bifurcations and chaos near a homoclinic flip bifurcation: a case study. Zbl 1408.37087
Giraldo, Andrus; Krauskopf, Bernd; Osinga, Hinke M.
3
2018
Codimension-one tangency bifurcations of global Poincaré maps of four-dimensional vector fields. Zbl 1175.37057
Krauskopf, Bernd; Lee, Clare M.; Osinga, Hinke M.
2
2009
Chenciner bubbles and torus break-up in a periodically forced delay differential equation. Zbl 1393.37094
Keane, A.; Krauskopf, B.
2
2018
The extended parameter space of a model for 1:4 resonance. Zbl 0856.34046
Krauskopf, Bernd
2
1995
Control-based continuation of periodic orbits with a time-delayed difference scheme. Zbl 1168.34040
Sieber, J.; Krauskopf, B.
2
2007
Bifurcation analysis of frequency locking in a semiconductor laser with phase-conjugate feedback. Zbl 1046.37508
Green, Kirk; Krauskopf, Bernd
2
2003
Bifurcations at \(\infty\) in a model for \(1:4\) resonance. Zbl 0884.58076
Krauskopf, Bernd
2
1997
A note on non-converging Julia sets. Zbl 0885.30022
Krauskopf, B.; Kriete, H.
2
1996
Global analysis of dynamical systems. Festschrift dedicated to Floris Takens for his 60th birthday. Zbl 0971.00062
Broer, Henk W. (ed.); Krauskopf, Bernd (ed.); Vegter, Gert (ed.)
2
2001
Strong resonances and Takens’s Utrecht preprint. Zbl 1193.37067
Krauskopf, Bernd
2
2001
Nonlinear dynamics and chaos: Where do we go from here? Zbl 0996.00035
Hogan, John (ed.); Champneys, Alan (ed.); Krauskopf, Bernd (ed.); di Bernardo, Mario (ed.); Wilson, Eddie (ed.); Osinga, Hinke (ed.); Homer, Martin (ed.)
2
2003
Unfolding the cusp-cusp bifurcation of planar endomorphisms. Zbl 1210.37021
Krauskopf, Bernd; Osinga, Hinke M.; Peckham, Bruce B.
2
2007
Mixed-mode oscillations and twin canard orbits in an autocatalytic chemical reaction. Zbl 1381.37107
Hasan, Cris R.; Krauskopf, Bernd; Osinga, Hinke M.
2
2017
A Lin’s method approach for detecting all canard orbits arising from a folded node. Zbl 1397.34096
Mujica, José; Krauskopf, Bernd; Osinga, Hinke M.
2
2017
Efficient computation of quasiperiodic oscillations in nonlinear systems with fast rotating parts. Zbl 1170.70353
Schilder, Frank; Rübel, Jan; Starke, Jens; Osinga, Hinke M.; Krauskopf, Bernd; Inagaki, Mizuho
1
2008
Amplitude-phase dynamics near the locking region of two delay-coupled semiconductor lasers. Zbl 1165.37037
Erzgräber, H.; Wille, E.; Krauskopf, B.; Fischer, I.
1
2009
Influence of variable side-stay geometry on the shimmy dynamics of an aircraft dual-wheel main landing gear. Zbl 1282.70044
Howcroft, Chris; Krauskopf, Bernd; Lowenberg, Mark H.; Neild, Simon A.
1
2013
Saddle slow manifolds and canard orbits in \(\mathbb{R}^{4}\) and application to the full Hodgkin-Huxley model. Zbl 1395.92038
Hasan, Cris R.; Krauskopf, Bernd; Osinga, Hinke M.
5
2018
Tangencies between global invariant manifolds and slow manifolds near a singular Hopf bifurcation. Zbl 1393.37035
Mujica, José; Krauskopf, Bernd; Osinga, Hinke M.
5
2018
Existence of blenders in a Hénon-like family: geometric insights from invariant manifold computations. Zbl 1402.37027
Hittmeyer, Stefanie; Krauskopf, Bernd; Osinga, Hinke M.; Shinohara, Katsutoshi
3
2018
Cascades of global bifurcations and chaos near a homoclinic flip bifurcation: a case study. Zbl 1408.37087
Giraldo, Andrus; Krauskopf, Bernd; Osinga, Hinke M.
3
2018
Chenciner bubbles and torus break-up in a periodically forced delay differential equation. Zbl 1393.37094
Keane, A.; Krauskopf, B.
2
2018
Resonance phenomena in a scalar delay differential equation with two state-dependent delays. Zbl 1371.34115
Calleja, R. C.; Humphries, A. R.; Krauskopf, B.
14
2017
Finding first foliation tangencies in the Lorenz system. Zbl 1381.37097
Creaser, Jennifer L.; Krauskopf, Bernd; Osinga, Hinke M.
7
2017
Saddle invariant objects and their global manifolds in a neighborhood of a homoclinic flip bifurcation of case B. Zbl 1385.37028
Giraldo, Andrus; Krauskopf, Bernd; Osinga, Hinke M.
6
2017
Mixed-mode oscillations and twin canard orbits in an autocatalytic chemical reaction. Zbl 1381.37107
Hasan, Cris R.; Krauskopf, Bernd; Osinga, Hinke M.
2
2017
A Lin’s method approach for detecting all canard orbits arising from a folded node. Zbl 1397.34096
Mujica, José; Krauskopf, Bernd; Osinga, Hinke M.
2
2017
Investigating irregular behavior in a model for the El Niño southern oscillation with positive and negative delayed feedback. Zbl 1351.37270
Keane, Andrew; Krauskopf, Bernd; Postlethwaite, Claire
3
2016
Global organization of phase space in the transition to chaos in the Lorenz system. Zbl 1332.34083
Doedel, Eusebius J.; Krauskopf, Bernd; Osinga, Hinke M.
13
2015
Invariant manifolds and global bifurcations. Zbl 1374.37076
Guckenheimer, John; Krauskopf, Bernd; Osinga, Hinke M.; Sandstede, Björn
8
2015
Delayed feedback versus seasonal forcing: resonance phenomena in an El Niño Southern Oscillation model. Zbl 1320.37038
Keane, Andrew; Krauskopf, Bernd; Postlethwaite, Claire
7
2015
\(\alpha\)-flips and T-points in the Lorenz system. Zbl 1347.37052
Creaser, Jennifer L.; Krauskopf, Bernd; Osinga, Hinke M.
6
2015
Forward-time and backward-time isochrons and their interactions. Zbl 1358.37047
Langfield, Peter; Krauskopf, Bernd; Osinga, Hinke M.
5
2015
Numerical continuation and bifurcation analysis in aircraft design: an industrial perspective. Zbl 1353.93084
Sharma, Sanjiv; Coetzee, Etienne B.; Lowenberg, Mark H.; Neild, Simon A.; Krauskopf, Bernd
4
2015
Interactions of the Julia set with critical and (un)stable sets in an angle-doubling map on \(\mathbb{C}\backslash\{0\}\). Zbl 1314.37034
Hittmeyer, Stefanie; Krauskopf, Bernd; Osinga, Hinke M.
3
2015
From wild Lorenz-like to wild Rovella-like dynamics. Zbl 1357.37059
Hittmeyer, Stefanie; Krauskopf, Bernd; Osinga, Hinke M.
3
2015
Bifurcation analysis of delay-induced resonances of the El-Niño southern oscillation. Zbl 1320.86004
Krauskopf, Bernd; Sieber, Jan
8
2014
Solving Winfree’s puzzle: the isochrons in the FitzHugh-Nagumo model. Zbl 1374.37032
Langfield, Peter; Krauskopf, Bernd; Osinga, Hinke M.
7
2014
Global invariant manifolds near a Shilnikov homoclinic bifurcation. Zbl 1309.34077
Aguirre, Pablo; Krauskopf, Bernd; Osinga, Hinke M.
6
2014
A global bifurcation analysis of the subcritical Hopf normal form subject to Pyragas time-delayed feedback control. Zbl 1323.37034
Purewal, A. S.; Postlethwaite, C. M.; Krauskopf, B.
5
2014
Chaos and wild chaos in Lorenz-type systems. Zbl 1318.37009
Osinga, Hinke M.; Krauskopf, Bernd; Hittmeyer, Stefanie
3
2014
Global invariant manifolds near homoclinic orbits to a real saddle: (non)orientability and flip bifurcation. Zbl 1284.34069
Aguirre, Pablo; Krauskopf, Bernd; Osinga, Hinke M.
11
2013
Interacting global invariant sets in a planar map model of wild chaos. Zbl 1304.37023
Hittmeyer, Stefanie; Krauskopf, Bernd; Osinga, Hinke M.
6
2013
Influence of variable side-stay geometry on the shimmy dynamics of an aircraft dual-wheel main landing gear. Zbl 1282.70044
Howcroft, Chris; Krauskopf, Bernd; Lowenberg, Mark H.; Neild, Simon A.
1
2013
Mixed-mode oscillations with multiple time scales. Zbl 1250.34001
Desroches, Mathieu; Guckenheimer, John; Krauskopf, Bernd; Kuehn, Christian; Osinga, Hinke M.; Wechselberger, Martin
126
2012
How to find a codimension-one heteroclinic cycle between two periodic orbits. Zbl 1246.34047
Zhang, Wenjun; Krauskopf, Bernd; Kirk, Vivien
12
2012
Global invariant manifolds in the transition to preturbulence in the Lorenz system. Zbl 1246.37037
Doedel, Eusebius J.; Krauskopf, Bernd; Osinga, Hinke M.
14
2011
Investigating the consequences of global bifurcations for two-dimensional invariant manifolds of vector fields. Zbl 1216.34035
Aguirre, Pablo; Doedel, Eusebius J.; Krauskopf, Bernd; Osinga, Hinke M.
12
2011
Stabilizing effect of delay distribution for a class of second-order systems without instantaneous feedback. Zbl 1219.34094
Kiss, Gábor; Krauskopf, Bernd
4
2011
Numerical continuation of canard orbits in slow-fast dynamical systems. Zbl 1191.34072
Desroches, M.; Krauskopf, B.; Osinga, H. M.
19
2010
Stability implications of delay distribution for first-order and second-order systems. Zbl 1202.34127
Kiss, Gábor; Krauskopf, Bernd
8
2010
Nonlinear dynamics of torsional waves in a drill-string model with spatial extent. Zbl 1269.74114
Barton, David A. W.; Krauskopf, Bernd; Wilson, R. Eddie
4
2010
The geometry of mixed-mode oscillations in the Olsen model for the peroxidase-oxidase reaction. Zbl 1187.37121
Desroches, Mathieu; Krauskopf, Bernd; Osinga, Hinke M.
9
2009
Interaction of torsion and lateral bending in aircraft nose landing gear shimmy. Zbl 1176.74091
Thota, Phanikrishna; Krauskopf, Bernd; Lowenberg, Mark
5
2009
Codimension-one tangency bifurcations of global Poincaré maps of four-dimensional vector fields. Zbl 1175.37057
Krauskopf, Bernd; Lee, Clare M.; Osinga, Hinke M.
2
2009
Amplitude-phase dynamics near the locking region of two delay-coupled semiconductor lasers. Zbl 1165.37037
Erzgräber, H.; Wille, E.; Krauskopf, B.; Fischer, I.
1
2009
Bifurcation analysis of a spatially extended laser with optical feedback. Zbl 1167.37047
Green, Kirk; Krauskopf, Bernd; Marten, Frank; Lenstra, Daan
1
2009
A Lin’s method approach to finding and continuing heteroclinic connections involving periodic orbits. Zbl 1163.34028
Krauskopf, Bernd; Rieß, Thorsten
29
2008
Mixed-mode oscillations and slow manifolds in the self-coupled Fitzhugh-Nagumo system. Zbl 1306.34050
Desroches, Mathieu; Krauskopf, Bernd; Osinga, Hinke M.
22
2008
The geometry of slow manifolds near a folded node. Zbl 1167.34365
Desroches, M.; Krauskopf, B.; Osinga, H. M.
19
2008
Tangency bifurcations of global Poincaré maps. Zbl 1159.37313
Lee, Clare M.; Collins, Pieter J.; Krauskopf, Bernd; Osinga, Hinke M.
12
2008
Control-based bifurcation analysis for experiments. Zbl 1170.70399
Sieber, Jan; Krauskopf, Bernd
5
2008
Efficient computation of quasiperiodic oscillations in nonlinear systems with fast rotating parts. Zbl 1170.70353
Schilder, Frank; Rübel, Jan; Starke, Jens; Osinga, Hinke M.; Krauskopf, Bernd; Inagaki, Mizuho
1
2008
Numerical continuation methods for dynamical systems. Path following and boundary value problems. Zbl 1117.65005
Krauskopf, Bernd; Osinga, Hinke M.; Galán-Vioque, Jorge
26
2007
Computing invariant manifolds via the continuation of orbit segments. Zbl 1126.65111
Krauskopf, Bernd; Osinga, Hinke M.
23
2007
Computing two-dimensional global invariant manifolds in slow-fast systems. Zbl 1140.37365
England, J. P.; Krauskopf, B.; Osinga, H. M.
6
2007
Homoclinic bifurcations in a neutral delay model of a transmission line oscillator. Zbl 1129.34049
Barton, David A. W.; Krauskopf, Bernd; Wilson, R. Eddie
4
2007
The ECM-backbone of the Lang-Kobayashi equations: a geometric picture. Zbl 1148.78331
Rottschäfer, Vivi; Krauskopf, Bernd
3
2007
Bifurcation analysis of a semiconductor laser with filtered optical feedback. Zbl 1210.15006
Erzgräber, Hartmut; Krauskopf, Bernd; Lenstra, Daan
3
2007
Control-based continuation of periodic orbits with a time-delayed difference scheme. Zbl 1168.34040
Sieber, J.; Krauskopf, B.
2
2007
Unfolding the cusp-cusp bifurcation of planar endomorphisms. Zbl 1210.37021
Krauskopf, Bernd; Osinga, Hinke M.; Peckham, Bruce B.
2
2007
Global bifurcations of the Lorenz manifold. Zbl 1118.34042
Doedel, Eusebius; Krauskopf, Bernd; Osinga, Hinke M.
23
2006
Bifurcations of global reinjection orbits near a saddle-node Hopf bifurcation. Zbl 1109.37042
Krauskopf, Bernd; Oldeman, Bart E.
10
2006
Collocation schemes for periodic solutions of neutral delay differential equations. Zbl 1108.65089
Barton, David A. W.; Krauskopf, Bernd; Wilson, R. Eddie
10
2006
Compound laser modes of mutually delay-coupled lasers. Zbl 1097.78014
Erzgräber, Hartmut; Krauskopf, Bernd; Lenstra, Daan
6
2006
Periodic solutions and their bifurcations in a nonsmooth second-order delay differential equation. Zbl 1121.34071
Barton, David A. W.; Krauskopf, Bernd; Wilson, R. Eddie
6
2006
A survey of methods for computing (un)stable manifolds of vector fields. Zbl 1086.34002
Krauskopf, B.; Osinga, H. M.; Doedel, E. J.; Henderson, M. E.; Guckenheimer, J.; Vladimirsky, A.; Dellnitz, M.; Junge, O.
77
2005
Bifurcations and multiple traffic jams in a car-following model with reaction-time delay. Zbl 1097.90015
Orosz, Gábor; Krauskopf, Bernd; Wilson, R. Eddie
12
2005
Extending the permissible control loop latency for the controlled inverted pendulum. Zbl 1079.34060
Sieber, J.; Krauskopf, B.
10
2005
Bifurcations of \(n\)-homoclinic orbits in optically injected lasers. Zbl 1115.34045
Wieczorek, Sebastian; Krauskopf, Bernd
8
2005
Computing one-dimensional global manifolds of Poincaré maps by continuation. Zbl 1090.37055
England, J. P.; Krauskopf, B.; Osinga, H. M.
8
2005
Explicit periodic solutions in a model of a relay controller with delay and forcing. Zbl 1094.34048
Barton, David A. W.; Krauskopf, Bernd; Wilson, R. Eddie
5
2005
Bifurcations of stable sets in noninvertible planar maps. Zbl 1085.37036
England, J. P.; Krauskopf, B.; Osinga, H. M.
4
2005
From local to global one-dimensional unstable manifolds in delay differential equations. Zbl 1106.34333
Krauskopf, B.; Green, K.; Engelborghs, K.
1
2005
Chaotic lasers: manifolds, bifurcations and symbolic dynamics. Zbl 1106.34320
Collins, Pieter; Krauskopf, Bernd
1
2005
A vector field model of a saddle-node Hopf bifurcation with global reinjection. Zbl 1106.34316
Oldeman, Bart; Krauskopf, Bernd
1
2005
Bifurcation analysis of an inverted pendulum with delayed feedback control near a triple-zero eigenvalue singularity. Zbl 1054.34121
Sieber, Jan; Krauskopf, Bernd
29
2004
Computing one-dimensional stable manifolds and stable sets of planar maps without the inverse. Zbl 1059.37067
England, J. P.; Krauskopf, B.; Osinga, H. M.
27
2004
Complex balancing motions of an inverted pendulum subject to delayed feedback control. Zbl 1070.34105
Sieber, J.; Krauskopf, B.
7
2004
The Lorenz manifold as a collection of geodesic level sets. Zbl 1083.37019
Krauskopf, Bernd; Osinga, Hinke M.
7
2004
Crocheting the Lorenz manifold. Zbl 1073.37036
Osinga, Hinke M.; Krauskopf, Bernd
5
2004
One-dimensional unstable eigenfunction and manifold computations in delay differential equations. Zbl 1052.65115
Green, Kirk; Krauskopf, Bernd; Engelborghs, Koen
4
2004
A planar model system for the saddle-node Hopf bifurcation with global reinjection. Zbl 1061.37028
Krauskopf, Bernd; Oldeman, Bart E.
3
2004
Computing geodesic level sets on global (un)stable manifolds of vector fields. Zbl 1089.37014
Krauskopf, Bernd; Osinga, Hinke M.
22
2003
Computing unstable manifolds of periodic orbits in delay differential equations. Zbl 1017.65102
Krauskopf, Bernd; Green, Kirk
11
2003
Homoclinic branch switching: a numerical implementation of Lin’s method. Zbl 1057.37073
Oldeman, Bart E.; Champneys, Alan R.; Krauskopf, Bernd
10
2003
A two-parameter study of the locking region of a semiconductor laser subject to phase-conjugate feedback. Zbl 1088.37522
Green, Kirk; Krauskopf, Bernd; Samaey, Giovanni
6
2003
Bifurcation analysis of frequency locking in a semiconductor laser with phase-conjugate feedback. Zbl 1046.37508
Green, Kirk; Krauskopf, Bernd
2
2003
Nonlinear dynamics and chaos: Where do we go from here? Zbl 0996.00035
Hogan, John; Champneys, Alan; Krauskopf, Bernd; di Bernardo, Mario; Wilson, Eddie; Osinga, Hinke; Homer, Martin
2
2003
Bistability and torus break-up in a semiconductor laser with phase-conjugate feedback. Zbl 1023.34064
Green, Kirk; Krauskopf, Bernd; Engelborghs, Koen
7
2002
Global quantitative predictions of complex laser dynamics. Zbl 1244.78008
Wieczorek, Sebastian; Simpson, Thomas B.; Krauskopf, Bernd; Lenstra, Daan
5
2002
Accumulating regions of winding periodic orbits in optically driven lasers. Zbl 1047.78502
Krauskopf, Bernd; Wieczorek, Sebastian
5
2002
Numerical unfoldings of codimension-three resonant homoclinic flip bifurcations. Zbl 0990.37039
Oldeman, Bart E.; Krauskopf, Bernd; Champneys, Alan R.
31
2001
Global analysis of dynamical systems. Festschrift dedicated to Floris Takens for his 60th birthday. Zbl 0971.00062
Broer, Henk W.; Krauskopf, Bernd; Vegter, Gert
2
2001
Strong resonances and Takens’s Utrecht preprint. Zbl 1193.37067
Krauskopf, Bernd
2
2001
Resonant homoclinic flip bifurcations. Zbl 0990.37038
Homburg, Ale Jan; Krauskopf, Bernd
48
2000
Death of period-doublings: Locating the homoclinic-doubling cascade. Zbl 1011.34036
Oldeman, Bart E.; Krauskopf, Bernd; Champneys, Alan R.
12
2000
Investigating torus bifurcations in the forced Van der Pol oscillator. Zbl 0987.37079
Krauskopf, Bernd; Osinga, Hinke M.
9
2000
Two-dimensional global manifolds of vector fields. Zbl 0983.37110
Krauskopf, Bernd; Osinga, Hinke
27
1999
Hausdorff convergence of Julia sets. Zbl 0915.58085
Krauskopf, Bernd; Kriete, Hartje
7
1999
Growing 1D and quasi-2D unstable manifolds of maps. Zbl 0915.65075
Krauskopf, Bernd; Osinga, Hinke
40
1998
Global study of a family of cubic Liénard equations. Zbl 0920.58034
Khibnik, Alexander I.; Krauskopf, Bernd; Rousseau, Christiane
22
1998
Globalizing two-dimensional unstable manifolds of maps. Zbl 0955.37016
Krauskopf, Bernd; Osinga, Hinke
17
1998
Approximating transcendental Julia sets. Zbl 0989.37041
Krauskopf, Bernd; Kriete, Hartje
1
1998
Codimension-three unfoldings of reflectionally symmetric planar vector fields. Zbl 0904.34025
Krauskopf, Bernd; Rousseau, Christiane
11
1997
Kernel convergence of hyperbolic components. Zbl 0893.32011
Krauskopf, Bernd; Kriete, Hartje
5
1997
Bifurcations at \(\infty\) in a model for \(1:4\) resonance. Zbl 0884.58076
Krauskopf, Bernd
2
1997
...and 5 more Documents
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Cited by 938 Authors

51 Krauskopf, Bernd
39 Osinga, Hinke Maria
16 Wechselberger, Martin
16 Zhu, Deming
15 Algaba, Antonio
14 Desroches, Mathieu
14 Rodríguez-Luis, Alejandro J.
13 Kühn, Christian
13 Mireles-James, Jason D.
10 Krupa, Martin
10 Vo, Theodore
9 Merino, Manuel
8 Liu, Xingbo
8 Zhang, Tiansi
7 Kirk, Vivien
7 Llibre, Jaume
7 Sieber, Jan
6 Aguirre, Pablo
6 Boussaada, Islam
6 Chen, Hebai
6 Chung, Kwok-Wai
6 Freire Macías, Emilio
6 Hüls, Thorsten
6 Kuznetsov, Yuri Alexandrovich
6 Kyrychko, Yuliya N.
6 Niculescu, Silviu-Iulian
6 Páez Chávez, Joseph Nikolai
6 Qin, Bo-Wei
6 Rubin, Jonathan E.
5 Barrio, Roberto
5 Barton, David A. W.
5 Gamero, Estanislao
5 Green, Kirk
5 Hittmeyer, Stefanie
5 Kaper, Tasso J.
5 Knobloch, Jürgen
5 Lloyd, David J. B.
5 Ponce, Enrique
5 Postlethwaite, Claire M.
5 Rodrigues, Serafim
5 Schöll, Eckehard
5 Stépán, Gábor
5 Tsaneva-Atanasova, Krasimira T.
5 Yanchuk, Sergiĭ Volodymyrovych
4 Ashwin, Peter
4 Avitabile, Daniele
4 Barabash, Nikita V.
4 Belykh, Vladimir N.
4 Bertram, Richard
4 Blyuss, Konstantin B.
4 Dellnitz, Michael
4 Doedel, Eusebius J.
4 Guckenheimer, John M.
4 Homburg, Ale Jan
4 Humphries, Antony R.
4 Keane, Andrew
4 Knobloch, Edgar
4 Krupa, Maciej
4 Lessard, Jean-Philippe
4 Li, Chengzhi
4 Macau, Elbert E. N.
4 Meijer, Hil G. E.
4 Mezić, Igor
4 Neild, Simon A.
4 Oldeman, Bart E.
4 Tabak, Joël
4 Touboul, Jonathan David
3 Balasuriya, Sanjeeva
3 Belhaq, Mohamed
3 Belykh, Igor V.
3 Bi, Qinsheng
3 Broer, Henk W.
3 Cao, Jinde
3 Chekroun, Mickaël D.
3 Chen, Xingwu
3 Coombes, Stephen
3 de la Llave, Rafael
3 Dumortier, Freddy
3 Erhardt, André
3 Erneux, Thomas
3 Ersöz, Elif Köksal
3 Fernández-García, Soledad
3 Fernández-Sánchez, Fernando
3 Geng, Fengjie
3 Gentz, Barbara
3 Giesl, Peter
3 Giraldo, Andrus
3 Govaerts, Willy J. F.
3 Guillamon, Antoni
3 Hafstein, Sigurður Freyr
3 Hasan, Cris R.
3 He, Xiaolong
3 Insperger, Tamás
3 Jardón-Kojakhmetov, Hildeberto
3 Jolly, Michael S.
3 Khasawneh, Firas A.
3 Kiss, Gabor
3 Kuske, Rachel A.
3 Langfield, Peter
3 Lowenberg, Mark H.
...and 838 more Authors
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Cited in 117 Serials

83 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
57 Chaos
53 Physica D
47 SIAM Journal on Applied Dynamical Systems
31 Nonlinear Dynamics
23 Communications in Nonlinear Science and Numerical Simulation
16 Journal of Nonlinear Science
15 Journal of Differential Equations
15 Journal of Dynamics and Differential Equations
14 Dynamical Systems
10 Nonlinearity
9 Journal of Mathematical Analysis and Applications
9 Discrete and Continuous Dynamical Systems. Series B
8 Applied Mathematics and Computation
8 Journal of Difference Equations and Applications
7 Journal of Fluid Mechanics
7 Chaos, Solitons and Fractals
7 The Journal of Mathematical Neuroscience
6 Nonlinear Analysis. Real World Applications
5 Biological Cybernetics
5 Mathematical Biosciences
5 Journal of Computational and Applied Mathematics
5 Journal of Computational Neuroscience
5 Journal of Computational Dynamics
4 Journal of Computational Physics
4 Bulletin of Mathematical Biology
4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
4 SIAM Journal on Mathematical Analysis
4 Indagationes Mathematicae. New Series
4 Discrete and Continuous Dynamical Systems
4 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
4 Acta Mathematica Sinica. English Series
3 Automatica
3 SIAM Journal on Numerical Analysis
3 Chinese Annals of Mathematics. Series B
3 Acta Applicandae Mathematicae
3 SIAM Review
3 Experimental Mathematics
3 Journal of Vibration and Control
3 Abstract and Applied Analysis
3 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
3 Qualitative Theory of Dynamical Systems
3 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
3 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
2 Communications in Mathematical Physics
2 Journal of Mathematical Biology
2 Physics Letters. A
2 Numerische Mathematik
2 Proceedings of the American Mathematical Society
2 Topology and its Applications
2 Systems & Control Letters
2 Applied Mathematics Letters
2 Journal of Scientific Computing
2 Neural Computation
2 Applied Mathematical Modelling
2 SIAM Journal on Applied Mathematics
2 Physics of Fluids
2 Discrete Dynamics in Nature and Society
2 Regular and Chaotic Dynamics
2 Journal of Mathematics and the Arts
2 Discrete and Continuous Dynamical Systems. Series S
1 Computer Methods in Applied Mechanics and Engineering
1 International Journal of Control
1 International Journal of Solids and Structures
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Journal of the Franklin Institute
1 Journal of Mathematical Physics
1 Journal of Statistical Physics
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Mathematics of Computation
1 BIT
1 Duke Mathematical Journal
1 International Journal for Numerical Methods in Engineering
1 Mathematische Zeitschrift
1 Numerical Functional Analysis and Optimization
1 Ricerche di Matematica
1 Tokyo Journal of Mathematics
1 Transactions of the American Mathematical Society
1 Ergodic Theory and Dynamical Systems
1 Applied Mathematics and Mechanics. (English Edition)
1 Computational Mechanics
1 Journal of Economic Dynamics & Control
1 Mathematical and Computer Modelling
1 Dynamics and Stability of Systems
1 SIAM Journal on Matrix Analysis and Applications
1 Sugaku Expositions
1 Automation and Remote Control
1 Linear Algebra and its Applications
1 Bulletin of the American Mathematical Society. New Series
1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
1 Celestial Mechanics and Dynamical Astronomy
1 International Journal of Robust and Nonlinear Control
1 Journal of Mathematical Sciences (New York)
1 Computational and Applied Mathematics
1 Russian Journal of Numerical Analysis and Mathematical Modelling
1 Mathematical Population Studies
1 Annales Academiae Scientiarum Fennicae. Mathematica
1 European Journal of Control
1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
1 Mathematical and Computer Modelling of Dynamical Systems
...and 17 more Serials
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Cited in 39 Fields

352 Dynamical systems and ergodic theory (37-XX)
325 Ordinary differential equations (34-XX)
105 Biology and other natural sciences (92-XX)
81 Numerical analysis (65-XX)
54 Mechanics of particles and systems (70-XX)
49 Systems theory; control (93-XX)
38 Partial differential equations (35-XX)
24 Fluid mechanics (76-XX)
16 Mechanics of deformable solids (74-XX)
16 Optics, electromagnetic theory (78-XX)
13 Operations research, mathematical programming (90-XX)
12 Statistical mechanics, structure of matter (82-XX)
10 Functions of a complex variable (30-XX)
9 Geophysics (86-XX)
8 Calculus of variations and optimal control; optimization (49-XX)
8 Probability theory and stochastic processes (60-XX)
7 Difference and functional equations (39-XX)
4 Integral equations (45-XX)
4 Computer science (68-XX)
4 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
4 Information and communication theory, circuits (94-XX)
3 General and overarching topics; collections (00-XX)
3 Approximations and expansions (41-XX)
3 Operator theory (47-XX)
3 Differential geometry (53-XX)
3 Astronomy and astrophysics (85-XX)
2 Combinatorics (05-XX)
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1 Statistics (62-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Quantum theory (81-XX)

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