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Osinga, Hinke Maria

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Author ID: osinga.hinke-maria Recent zbMATH articles by "Osinga, Hinke Maria"
Published as: Osinga, Hinke M.; Osinga, H. M.; Osinga, Hinke; Osinga, Hinke Maria; Osinga, hinke M.
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Documents Indexed: 92 Publications since 1993, including 3 Books

Publications by Year

Citations contained in zbMATH Open

74 Publications have been cited 923 times in 489 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
Growing 1D and quasi-2D unstable manifolds of maps. Zbl 0915.65075
Krauskopf, Bernd; Osinga, Hinke
40
1998
Two-dimensional global manifolds of vector fields. Zbl 0983.37110
Krauskopf, Bernd; Osinga, Hinke
27
1999
Algorithms for computing normally hyperbolic invariant manifolds. Zbl 0872.34030
Broer, H. W.; Osinga, H. M.; Vegter, G.
27
1997
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
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
Continuation-based computation of global isochrons. Zbl 1232.37014
Osinga, Hinke M.; Moehlis, Jeff
25
2010
Continuation of quasi-periodic invariant tori. Zbl 1090.37057
Schilder, Frank; Osinga, Hinke M.; Vogt, Werner
25
2005
Global bifurcations of the Lorenz manifold. Zbl 1118.34042
Doedel, Eusebius; Krauskopf, Bernd; Osinga, Hinke M.
23
2006
Computing invariant manifolds via the continuation of orbit segments. Zbl 1126.65111
Krauskopf, Bernd; Osinga, Hinke M.
23
2007
Computing geodesic level sets on global (un)stable manifolds of vector fields. Zbl 1089.37014
Krauskopf, Bernd; Osinga, Hinke M.
22
2003
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
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
A set oriented approach to global optimal control. Zbl 1072.49014
Junge, Oliver; Osinga, Hinke M.
17
2004
Dynamical systems analysis of spike-adding mechanisms in transient bursts. Zbl 1291.92043
Nowacki, Jakub; Osinga, Hinke M.; Tsaneva-Atanasova, Krasimira
16
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
Full system bifurcation analysis of endocrine bursting models. Zbl 1406.92122
Tsaneva-Atanasova, Krasimira; Osinga, Hinke M.; Rieß, Thorsten; Sherman, Arthur
14
2010
Resetting behavior in a model of bursting in secretory pituitary cells: distinguishing plateaus from pseudo-plateaus. Zbl 1281.92021
Stern, Julie V.; Osinga, Hinke M.; Lebeau, Andrew; Sherman, Arthur
14
2008
Boundary crisis in quasiperiodically forced systems. Zbl 0955.37019
Osinga, Hinke M.; Feudel, Ulrike
13
2000
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
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
Tangency bifurcations of global Poincaré maps. Zbl 1159.37313
Lee, Clare M.; Collins, Pieter J.; Krauskopf, Bernd; Osinga, Hinke M.
12
2008
Invariant polygons in systems with grazing-sliding. Zbl 1307.37026
Szalai, R.; Osinga, H. M.
12
2008
Fourier methods for quasi-periodic oscillations. Zbl 1113.70005
Schilder, Frank; Vogt, Werner; Schreiber, Stephan; Osinga, Hinke M.
12
2006
Multistability and nonsmooth bifurcations in the quasiperiodically forced circle map. Zbl 1091.37507
Osinga, Hinke; Wiersig, Jan; Glendinning, Paul; Feudel, Ulrike
11
2001
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
On the computation of invariant manifolds of fixed points. Zbl 0827.58043
Homburg, A. J.; Osinga, H. M.; Vegter, G.
10
1995
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
Arnol’d tongues arising from a grazing-sliding bifurcation. Zbl 1210.70018
Szalai, Róbert; Osinga, Hinke M.
8
2009
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
Cross-currents between biology and mathematics: the codimension of pseudo-plateau bursting. Zbl 1299.70045
Osinga, Hinke M.; Sherman, Arthur; Tsaneva-Atanasova, Krasimira
7
2012
The Lorenz manifold as a collection of geodesic level sets. Zbl 1083.37019
Krauskopf, Bernd; Osinga, Hinke M.
7
2004
Nonorientable manifolds in threee-dimensional vector fields. Zbl 1056.37022
Osinga, Hinke M.
7
2003
Understanding anomalous delays in a model of intracellular calcium dynamics. Zbl 1311.92064
Harvey, Emily; Kirk, Vivien; Osinga, Hinke M.; Sneyd, James; Wechselberger, Martin
7
2010
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
Computing two-dimensional global invariant manifolds in slow-fast systems. Zbl 1140.37365
England, J. P.; Krauskopf, B.; Osinga, H. M.
6
2007
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 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
Interacting global invariant sets in a planar map model of wild chaos. Zbl 1304.37023
Hittmeyer, Stefanie; Krauskopf, Bernd; Osinga, Hinke M.
6
2013
Crocheting the Lorenz manifold. Zbl 1073.37036
Osinga, Hinke M.; Krauskopf, Bernd
5
2004
On the computation of normally hyperbolic invariant manifolds. Zbl 0842.58066
Broer, H. W.; Osinga, H. M.; Vegter, G.
5
1996
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
Forward-time and backward-time isochrons and their interactions. Zbl 1358.37047
Langfield, Peter; Krauskopf, Bernd; Osinga, Hinke M.
5
2015
Computing the stable manifold of a saddle slow manifold. Zbl 1403.37036
Farjami, Saeed; Kirk, Vivien; Osinga, Hinke M.
5
2018
Numerical approximations of strong (un)stable manifolds. Zbl 1058.37062
Osinga, H. M.; Rokni Lamooki, G. R.; Townley, S.
4
2004
Bifurcations of stable sets in noninvertible planar maps. Zbl 1085.37036
England, J. P.; Krauskopf, B.; Osinga, H. M.
4
2005
The singular limit of a Hopf bifurcation. Zbl 1402.37060
Guckenheimer, John; Osinga, Hinke M.
3
2012
The role of large-conductance calcium-activated K\(^+\) (BK) channels in shaping bursting oscillations of a somatotroph cell model. Zbl 1186.92014
Nowacki, Jakub; Mazlan, Siti; Osinga, Hinke M.; Tsaneva-Atanasova, Krasimira
3
2010
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
Non-orientable manifolds of periodic orbits. Zbl 0963.65541
Osinga, Hinke
3
2000
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
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
Computing a normally hyperbolic invariant manifold of saddle type. Zbl 0861.65068
Broer, H. W.; Osinga, H. M.; Vegter, G.
2
1996
Computing invariant manifolds: variations on the graph transform. Zbl 0867.65047
Osinga, Hinke Maria
2
1996
Unfolding the cusp-cusp bifurcation of planar endomorphisms. Zbl 1210.37021
Krauskopf, Bernd; Osinga, Hinke M.; Peckham, Bruce B.
2
2007
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
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
Bifurcations and limit dynamics in adaptive control systems. Zbl 1092.37544
Rokni Lamooki, G. R.; Townley, S.; Osinga, H. M.
2
2005
Continuation-based numerical detection of after-depolarization and spike-adding thresholds. Zbl 1269.92024
Nowacki, Jakub; Osinga, Hinke M.; Tsaneva-Atanasova, Krasimira T.
2
2013
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
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
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
Boundary crisis bifurcation in two parameters. Zbl 1108.37029
Osinga, Hinke M.
1
2006
Computing global invariant manifolds: techniques and applications. Zbl 1373.37061
Osinga, Hinke M.
1
2014
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
Computing the stable manifold of a saddle slow manifold. Zbl 1403.37036
Farjami, Saeed; Kirk, Vivien; Osinga, Hinke M.
5
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
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
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
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
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
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
\(\alpha\)-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
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
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
Chaos and wild chaos in Lorenz-type systems. Zbl 1318.37009
Osinga, Hinke M.; Krauskopf, Bernd; Hittmeyer, Stefanie
3
2014
Computing global invariant manifolds: techniques and applications. Zbl 1373.37061
Osinga, Hinke M.
1
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
Continuation-based numerical detection of after-depolarization and spike-adding thresholds. Zbl 1269.92024
Nowacki, Jakub; Osinga, Hinke M.; Tsaneva-Atanasova, Krasimira T.
2
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
Dynamical systems analysis of spike-adding mechanisms in transient bursts. Zbl 1291.92043
Nowacki, Jakub; Osinga, Hinke M.; Tsaneva-Atanasova, Krasimira
16
2012
Cross-currents between biology and mathematics: the codimension of pseudo-plateau bursting. Zbl 1299.70045
Osinga, Hinke M.; Sherman, Arthur; Tsaneva-Atanasova, Krasimira
7
2012
The singular limit of a Hopf bifurcation. Zbl 1402.37060
Guckenheimer, John; Osinga, Hinke M.
3
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
Continuation-based computation of global isochrons. Zbl 1232.37014
Osinga, Hinke M.; Moehlis, Jeff
25
2010
Numerical continuation of canard orbits in slow-fast dynamical systems. Zbl 1191.34072
Desroches, M.; Krauskopf, B.; Osinga, H. M.
19
2010
Full system bifurcation analysis of endocrine bursting models. Zbl 1406.92122
Tsaneva-Atanasova, Krasimira; Osinga, Hinke M.; Rieß, Thorsten; Sherman, Arthur
14
2010
Understanding anomalous delays in a model of intracellular calcium dynamics. Zbl 1311.92064
Harvey, Emily; Kirk, Vivien; Osinga, Hinke M.; Sneyd, James; Wechselberger, Martin
7
2010
The role of large-conductance calcium-activated K\(^+\) (BK) channels in shaping bursting oscillations of a somatotroph cell model. Zbl 1186.92014
Nowacki, Jakub; Mazlan, Siti; Osinga, Hinke M.; Tsaneva-Atanasova, Krasimira
3
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
Arnol’d tongues arising from a grazing-sliding bifurcation. Zbl 1210.70018
Szalai, Róbert; Osinga, Hinke M.
8
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
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
Resetting behavior in a model of bursting in secretory pituitary cells: distinguishing plateaus from pseudo-plateaus. Zbl 1281.92021
Stern, Julie V.; Osinga, Hinke M.; Lebeau, Andrew; Sherman, Arthur
14
2008
Tangency bifurcations of global Poincaré maps. Zbl 1159.37313
Lee, Clare M.; Collins, Pieter J.; Krauskopf, Bernd; Osinga, Hinke M.
12
2008
Invariant polygons in systems with grazing-sliding. Zbl 1307.37026
Szalai, R.; Osinga, H. M.
12
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
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
Fourier methods for quasi-periodic oscillations. Zbl 1113.70005
Schilder, Frank; Vogt, Werner; Schreiber, Stephan; Osinga, Hinke M.
12
2006
Boundary crisis bifurcation in two parameters. Zbl 1108.37029
Osinga, Hinke M.
1
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
Continuation of quasi-periodic invariant tori. Zbl 1090.37057
Schilder, Frank; Osinga, Hinke M.; Vogt, Werner
25
2005
Computing one-dimensional global manifolds of Poincaré maps by continuation. Zbl 1090.37055
England, J. P.; Krauskopf, B.; Osinga, H. M.
8
2005
Bifurcations of stable sets in noninvertible planar maps. Zbl 1085.37036
England, J. P.; Krauskopf, B.; Osinga, H. M.
4
2005
Bifurcations and limit dynamics in adaptive control systems. Zbl 1092.37544
Rokni Lamooki, G. R.; Townley, S.; Osinga, H. M.
2
2005
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
A set oriented approach to global optimal control. Zbl 1072.49014
Junge, Oliver; Osinga, Hinke M.
17
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
Numerical approximations of strong (un)stable manifolds. Zbl 1058.37062
Osinga, H. M.; Rokni Lamooki, G. R.; Townley, S.
4
2004
Computing geodesic level sets on global (un)stable manifolds of vector fields. Zbl 1089.37014
Krauskopf, Bernd; Osinga, Hinke M.
22
2003
Nonorientable manifolds in threee-dimensional vector fields. Zbl 1056.37022
Osinga, Hinke M.
7
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
Multistability and nonsmooth bifurcations in the quasiperiodically forced circle map. Zbl 1091.37507
Osinga, Hinke; Wiersig, Jan; Glendinning, Paul; Feudel, Ulrike
11
2001
Boundary crisis in quasiperiodically forced systems. Zbl 0955.37019
Osinga, Hinke M.; Feudel, Ulrike
13
2000
Investigating torus bifurcations in the forced Van der Pol oscillator. Zbl 0987.37079
Krauskopf, Bernd; Osinga, Hinke M.
9
2000
Non-orientable manifolds of periodic orbits. Zbl 0963.65541
Osinga, Hinke
3
2000
Two-dimensional global manifolds of vector fields. Zbl 0983.37110
Krauskopf, Bernd; Osinga, Hinke
27
1999
Growing 1D and quasi-2D unstable manifolds of maps. Zbl 0915.65075
Krauskopf, Bernd; Osinga, Hinke
40
1998
Globalizing two-dimensional unstable manifolds of maps. Zbl 0955.37016
Krauskopf, Bernd; Osinga, Hinke
17
1998
Algorithms for computing normally hyperbolic invariant manifolds. Zbl 0872.34030
Broer, H. W.; Osinga, H. M.; Vegter, G.
27
1997
On the computation of normally hyperbolic invariant manifolds. Zbl 0842.58066
Broer, H. W.; Osinga, H. M.; Vegter, G.
5
1996
Computing a normally hyperbolic invariant manifold of saddle type. Zbl 0861.65068
Broer, H. W.; Osinga, H. M.; Vegter, G.
2
1996
Computing invariant manifolds: variations on the graph transform. Zbl 0867.65047
Osinga, Hinke Maria
2
1996
On the computation of invariant manifolds of fixed points. Zbl 0827.58043
Homburg, A. J.; Osinga, H. M.; Vegter, G.
10
1995
all top 5

Cited by 769 Authors

43 Osinga, Hinke Maria
37 Krauskopf, Bernd
17 Wechselberger, Martin
14 Desroches, Mathieu
13 Kühn, Christian
11 Mireles-James, Jason D.
10 Krupa, Martin
8 Vo, Theodore
7 Kirk, Vivien
7 Mezić, Igor
7 Moehlis, Jeff
7 Tsaneva-Atanasova, Krasimira T.
6 Aguirre, Pablo
6 Hüls, Thorsten
6 Junge, Oliver
6 Páez Chávez, Joseph Nikolai
6 Rubin, Jonathan E.
6 Simpson, David John Warwick
5 Algaba, Antonio
5 Bertram, Richard
5 Doedel, Eusebius J.
5 Grüne, Lars
5 Haller, George
5 Haro, Àlex
5 Hittmeyer, Stefanie
5 Rodrigues, Serafim
5 Rodríguez-Luis, Alejandro J.
5 Tabak, Joël
5 Zhang, Yongxiang
5 Zhusubaliev, Zhanybaĭ Tursunbaevich
4 Avitabile, Daniele
4 Barabash, Nikita V.
4 Barrio, Roberto
4 Belykh, Igor V.
4 Belykh, Vladimir N.
4 Bi, Qinsheng
4 de la Llave, Rafael
4 Dellnitz, Michael
4 Guillamon, Antoni
4 Krupa, Maciej
4 Kuznetsov, Yuri Alexandrovich
4 Mauroy, Alexandre
4 Mosekilde, Erik
4 Rasmussen, Martin
4 Simó, Carles
4 Sneyd, James
4 Touboul, Jonathan David
4 Wilson, Dan D.
3 Balasuriya, Sanjeeva
3 Banerjee, Soumitro
3 Broer, Henk W.
3 Carter, Paul M.
3 Dieci, Luca
3 Erhardt, André
3 Ersöz, Elif Köksal
3 Fernández-García, Soledad
3 Gentz, Barbara
3 Giesl, Peter
3 Giraldo, Andrus
3 Green, Kirk
3 Guckenheimer, John M.
3 Hafstein, Sigurður Freyr
3 Han, Xiujing
3 Hasan, Cris R.
3 Huguet, Gemma
3 Inaba, Naohiko
3 Jardón-Kojakhmetov, Hildeberto
3 Jolly, Michael S.
3 Kaper, Tasso J.
3 Kuske, Rachel A.
3 Langfield, Peter
3 Lloyd, David J. B.
3 Macau, Elbert E. N.
3 Meijer, Hil G. E.
3 Merino, Manuel
3 Nowacki, Jakub
3 Oldeman, Bart E.
3 Pötzsche, Christian
3 Roberts, Andrew J.
3 Sadhu, Susmita
3 M-Seara, Tere
3 Serrano, Sergio E.
3 Shen, Yunzhu
3 Sieber, Jan
3 Teka, Wondimu
3 Teruel, Antonio E.
3 Veltz, Romain
3 Verhulst, Ferdinand
3 Vidal, Alexandre
3 Wieczorek, Sebastian M.
3 Yanchuk, Sergiĭ Volodymyrovych
3 Ziessler, Adrian
2 Ashwin, Peter
2 Avrutin, Viktor
2 Baik, Jong-Jin
2 Bakri, Taoufik
2 Barry, Anna M.
2 Berglund, Nils
2 Beyn, Wolf-Jürgen
2 Breden, Maxime
...and 669 more Authors
all top 5

Cited in 106 Serials

64 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
50 Chaos
42 SIAM Journal on Applied Dynamical Systems
39 Physica D
24 Communications in Nonlinear Science and Numerical Simulation
17 Journal of Nonlinear Science
15 Nonlinear Dynamics
12 The Journal of Mathematical Neuroscience
10 Journal of Dynamics and Differential Equations
8 Nonlinearity
8 Journal of Differential Equations
7 Journal of Difference Equations and Applications
7 Discrete and Continuous Dynamical Systems. Series B
7 Journal of Computational Dynamics
6 SIAM Review
6 Journal of Computational Neuroscience
5 Journal of Computational Physics
5 Dynamical Systems
4 Biological Cybernetics
4 Journal of Fluid Mechanics
4 Journal of Mathematical Analysis and Applications
4 Journal of Mathematical Biology
4 Chaos, Solitons and Fractals
4 Applied Mathematics and Computation
4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
4 Neural Computation
4 Indagationes Mathematicae. New Series
4 Discrete and Continuous Dynamical Systems
3 Mathematical Biosciences
3 Bulletin of Mathematical Biology
3 Automatica
3 Journal of Computational and Applied Mathematics
3 Acta Applicandae Mathematicae
3 SIAM Journal on Mathematical Analysis
3 Regular and Chaotic Dynamics
3 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
2 Computer Methods in Applied Mechanics and Engineering
2 Journal of the Franklin Institute
2 BIT
2 Meccanica
2 Applied Mathematical Modelling
2 Automation and Remote Control
2 SIAM Journal on Applied Mathematics
2 Physics of Fluids
2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
2 Nonlinear Analysis. Real World Applications
2 Journal of Mathematics and the Arts
2 Journal of Theoretical Biology
1 Modern Physics Letters B
1 Computers & Mathematics with Applications
1 Communications in Mathematical Physics
1 International Journal of Control
1 International Journal of Solids and Structures
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Journal of Mathematical Physics
1 Physics Letters. A
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Mathematics of Computation
1 Advances in Mathematics
1 Computing
1 Journal of Optimization Theory and Applications
1 Mathematics of Operations Research
1 Mathematische Zeitschrift
1 Networks
1 Numerische Mathematik
1 Ricerche di Matematica
1 Tokyo Journal of Mathematics
1 Transactions of the American Mathematical Society
1 Topology and its Applications
1 Ergodic Theory and Dynamical Systems
1 Systems & Control Letters
1 Computational Mechanics
1 Journal of Economic Dynamics & Control
1 Applied Mathematics Letters
1 Mathematical and Computer Modelling
1 Journal of Scientific Computing
1 European Journal of Applied Mathematics
1 Japan Journal of Industrial and Applied Mathematics
1 Linear Algebra and its Applications
1 Stochastic Processes and their Applications
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 Computational Optimization and Applications
1 Journal of Computer and Systems Sciences International
1 Computational and Applied Mathematics
1 Russian Journal of Numerical Analysis and Mathematical Modelling
1 Mathematical Population Studies
1 European Journal of Control
1 Abstract and Applied Analysis
1 Mathematical and Computer Modelling of Dynamical Systems
1 Discrete Dynamics in Nature and Society
1 New Journal of Physics
1 Qualitative Theory of Dynamical Systems
1 Archives of Computational Methods in Engineering
1 Multiscale Modeling & Simulation
1 Acta Mechanica Sinica
1 Applications and Applied Mathematics
1 The European Physical Journal B. Condensed Matter and Complex Systems
1 Journal of Physics A: Mathematical and Theoretical
...and 6 more Serials
all top 5

Cited in 37 Fields

287 Dynamical systems and ergodic theory (37-XX)
208 Ordinary differential equations (34-XX)
115 Biology and other natural sciences (92-XX)
67 Numerical analysis (65-XX)
53 Mechanics of particles and systems (70-XX)
36 Systems theory; control (93-XX)
34 Partial differential equations (35-XX)
19 Fluid mechanics (76-XX)
15 Calculus of variations and optimal control; optimization (49-XX)
9 Probability theory and stochastic processes (60-XX)
9 Mechanics of deformable solids (74-XX)
9 Optics, electromagnetic theory (78-XX)
7 Statistical mechanics, structure of matter (82-XX)
7 Operations research, mathematical programming (90-XX)
6 Difference and functional equations (39-XX)
6 Geophysics (86-XX)
6 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
5 Information and communication theory, circuits (94-XX)
4 Differential geometry (53-XX)
3 Operator theory (47-XX)
3 Computer science (68-XX)
2 General and overarching topics; collections (00-XX)
2 Combinatorics (05-XX)
2 Integral equations (45-XX)
2 Algebraic topology (55-XX)
2 Manifolds and cell complexes (57-XX)
2 Global analysis, analysis on manifolds (58-XX)
2 Classical thermodynamics, heat transfer (80-XX)
2 Astronomy and astrophysics (85-XX)
1 History and biography (01-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Functions of a complex variable (30-XX)
1 Special functions (33-XX)
1 Approximations and expansions (41-XX)
1 Geometry (51-XX)
1 Statistics (62-XX)
1 Quantum theory (81-XX)

Citations by Year

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