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Broer, Henk W.

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Author ID: broer.henk-w Recent zbMATH articles by "Broer, Henk W."
Published as: Broer, H. W.; Broer, Henk; Broer, Henk W.
Homepage: http://www.math.rug.nl/~broer/
External Links: IdRef · MGP · Math-Net.Ru · Wikidata · ORCID · dblp · GND
Documents Indexed: 154 Publications since 1981, including 18 Books
Biographic References: 1 Publication
all top 5

Serials

15 Nonlinearity
10 Nieuw Archief voor Wiskunde. Vijfde Serie
9 Physica D
9 Indagationes Mathematicae. New Series
8 Journal of Differential Equations
6 Ergodic Theory and Dynamical Systems
6 Regular and Chaotic Dynamics
4 Epsilon Uitgaven
3 Archive for Rational Mechanics and Analysis
3 Communications in Mathematical Physics
3 Acta Applicandae Mathematicae
3 Journal of Dynamics and Differential Equations
3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
3 Discrete and Continuous Dynamical Systems. Series B
3 Lecture Notes in Mathematics
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 Nieuw Archief voor Wiskunde. Vierde Serie
2 Discrete and Continuous Dynamical Systems
2 Discrete and Continuous Dynamical Systems. Series S
1 Memoirs of the American Mathematical Society
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Delft Progress Report
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Bulletin of the American Mathematical Society. New Series
1 Celestial Mechanics and Dynamical Astronomy
1 Boletim da Sociedade Brasileira de Matemática. Nova Série
1 Bulletin of the Belgian Mathematical Society - Simon Stevin
1 Journal of Difference Equations and Applications
1 Dynamics of Continuous, Discrete & Impulsive Systems. Series B. Applications & Algorithms
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 SIAM Journal on Applied Dynamical Systems
1 International Journal of Applied Mathematics and Statistics
1 Applied Mathematical Sciences
1 The Carus Mathematical Monographs
1 Progress in Nonlinear Differential Equations and Their Applications

Publications by Year

Citations contained in zbMATH Open

116 Publications have been cited 1,315 times in 659 Documents Cited by Year
Families of quasi-periodic motions in dynamical systems depending on parameters. Zbl 0842.58067
Broer, H. W.; Huitema, G. B.; Sevryuk, M. B.
81
1996
Unfoldings and bifurcations of quasi-periodic tori. Zbl 0717.58043
Broer, H. W.; Huitema, G. B.; Takens, F.; Braaksma, B. L. J.
75
1990
Quasi-periodic motions in families of dynamical systems. Order amidst chaos. Zbl 0870.58087
Broer, H. W.; Huitema, G. B.; Sevryuk, M. B.
54
1997
Towards global models near homoclinic tangencies of dissipative diffeomorphisms. Zbl 0937.37013
Broer, Henk; Simó, Carles; Tatjer, Joan Carles
43
1998
Unfoldings of quasi-periodic tori in reversible systems. Zbl 0820.58050
Broer, H. W.; Huitema, G. B.
39
1995
Subordinate Šil’nikov bifurcations near some singularities of vector fields having low codimension. Zbl 0553.58024
Broer, H. W.; Vegter, G.
36
1984
Hill’s equation with quasi-periodic forcing: resonance tongues, instability pockets and global phenomena. Zbl 0917.34019
Broer, Henk; Simó, Carles
31
1998
Geometrical aspects of stability theory for Hill’s equations. Zbl 0840.34047
Broer, Henk; Levi, Mark
31
1995
Invariant circles in the Bogdanov-Takens bifurcation for diffeomorphisms. Zbl 0876.58032
Broer, Henk; Roussarrie, Robert; Simó, Carles
30
1996
Normal linear stability of quasi-periodic tori. Zbl 1184.37045
Broer, H. W.; Hoo, J.; Naudot, V.
30
2007
Algorithms for computing normally hyperbolic invariant manifolds. Zbl 0872.34030
Broer, H. W.; Osinga, H. M.; Vegter, G.
27
1997
On a quasi-periodic Hopf bifurcation. Zbl 0614.34043
Braaksma, B. L. J.; Broer, H. W.
27
1987
Bifurcations and strange attractors in the Lorenz-84 climate model with seasonal forcing. Zbl 1148.37307
Broer, Henk; Simó, Carles; Vitolo, Renato
26
2002
Resonance tongues in Hill’s equations: A geometric approach. Zbl 1046.34072
Broer, Henk; Simó, Carles
23
2000
A normally elliptic Hamiltonian bifurcation. Zbl 0805.58047
Broer, H. W.; Chow, S. N.; Kim, Yong-In; Vegter, G.
23
1993
Normal-internal resonances in quasi-periodically forced oscillators: a conservative approach. Zbl 1049.34044
Broer, Henk; Hanßmann, Heinz; Jorba, Ángel; Villanueva, Jordi; Wagener, Florian
23
2003
Quasi-periodic bifurcations of invariant circles in low-dimensional dissipative dynamical systems. Zbl 1225.37087
Vitolo, Renato; Broer, Henk; Simó, Carles
22
2011
Bifurcational aspects of parametric resonance. Zbl 0893.58043
Broer, H. W.; Vegter, G.
21
1992
KAM theory: quasi-periodicity in dynamical systems. Zbl 1242.37040
Broer, H. W.; Sevryuk, Mikhail B.
21
2010
Quasi-periodic stability of normally resonant tori. Zbl 1156.37318
Broer, Henk W.; Ciocci, M. Cristina; Hanßmann, Heinz; Vanderbauwhede, André
21
2009
Dynamical systems and chaos. Zbl 1218.37001
Broer, Henk; Takens, Floris
21
2011
Hopf saddle-node bifurcation for fixed points of 3D-diffeomorphisms: Analysis of a resonance ‘bubble’. Zbl 1165.37017
Broer, Henk; Simó, Carles; Vitolo, Renato
20
2008
The Hopf-saddle-node bifurcation for fixed points of 3D-diffeomorphisms: The Arnol’d resonance web. Zbl 1154.37319
Broer, Henk; Simó, Carles; Vitolo, Renato
20
2008
Structures in dynamics: finite dimensional deterministic studies. Zbl 0746.58002
Broer, H. W.; Dumortier, F.; van Strien, S. J.; Takens, F.
17
1991
Resonance tongues and instability pockets in the quasi-periodic Hill-Schrödinger equation. Zbl 1098.37014
Broer, Henk; Puig, Joaquim; Simó, Carles
17
2003
Dynamics of a predator-prey model with non-monotonic response. Zbl 1129.92061
Broer, H. W.; Saleh, K.; Naudot, V.; Roussarie, R.
17
2007
Survey on dissipative KAM theory including quasi-periodic bifurcation theory. (Based on lectures by Henk Broer). Zbl 1216.37008
Ciocci, Maria-Cristina; Litvak-Hinenzon, Anna; Broer, Henk
16
2005
Geometric desingularization of a cusp singularity in slow-fast systems with applications to Zeeman’s examples. Zbl 1288.34051
Broer, Henk W.; Kaper, Tasso J.; Krupa, Martin
15
2013
The quasi-periodic reversible Hopf bifurcation. Zbl 1141.37342
Broer, Henk W.; Ciocci, M. Cristina; Hanßmann, Heinz
15
2007
Bifurcations of normally parabolic tori in Hamiltonian systems. Zbl 1181.37072
Broer, Henk W.; Hanßmann, Heinz; You, Jiangong
14
2005
The geometry of resonance tongues: a singularity theory approach. Zbl 1035.37035
Broer, Henk W.; Golubitsky, Martin; Vegter, Gert
14
2003
A proof of the isoenergetic KAM-theorem from the “ordinary” one. Zbl 0721.58020
Broer, H. W.; Huitema, G. B.
14
1991
Extreme value laws in dynamical systems under physical observables. Zbl 1306.37034
Holland, Mark P.; Vitolo, Renato; Rabassa, Pau; Sterk, Alef E.; Broer, Henk W.
14
2012
Equivariant singularity theory with distinguished parameters: two case studies of resonant Hamiltonian systems. Zbl 1194.34068
Broer, H. W.; Lunter, G. A.; Vegter, G.
14
1998
From a differentiable to a real analytic perturbation theory, applications to the Kupka Smale theorems. Zbl 0582.58019
Broer, H. W.; Tangerman, F. M.
13
1986
A reversible bifurcation analysis of the inverted pendulum. Zbl 1194.70029
Broer, H. W.; Hoveijn, I.; Van Noort, M.
13
1998
The Hamiltonian double-zero eigenvalue. Zbl 0840.58018
Broer, H. W.; Chow, S.-N.; Kim, Y.-I.; Vegter, G.
12
1995
Formal normal form theorems for vector fields and some consequences for bifurcations in the volume preserving case. Zbl 0504.58031
Broer, Henk
12
1981
Umbilical torus bifurcations in Hamiltonian systems. Zbl 1085.37048
Broer, Henk W.; Hanßmann, Heinz; You, Jiangong
12
2006
Resonances in a spring-pendulum: Algorithms for equivariant singularity theory. Zbl 0932.37041
Broer, H. W.; Hoveijn, I.; Lunter, G. A.; Vegter, G.
11
1998
The quasi-periodic Hamiltonian Hopf bifurcation. Zbl 1121.37042
Broer, Henk W.; Hanßmann, Heinz; Hoo, Jun
11
2007
A predator-prey model with non-monotonic response function. Zbl 1164.37318
Broer, H. W.; Naudot, V.; Roussarie, R.; Saleh, K.
11
2006
Heteroclinic cycles between unstable attractors. Zbl 1153.34001
Broer, Henk; Efstathiou, Konstantinos; Subramanian, Easwar
11
2008
Routes to chaos in the Hopf-saddle-node bifurcation for fixed points of 3D-diffeomorphisms. Zbl 1204.37050
Vitolo, Renato; Broer, Henk; Simó, Carles
11
2010
Formally symmetric normal forms and genericity. Zbl 0704.58047
Broer, H. W.; Takens, F.
10
1989
The inverted pendulum: A singularity theory approach. Zbl 0936.34029
Broer, H. W.; Hoveijn, I.; van Noort, M.; Vegter, G.
10
1999
Bifurcations in Hamiltonian systems. Computing singularities by Gröbner bases. Zbl 1029.37033
Broer, Henk; Hoveijn, Igor; Lunter, Gerton; Vegter, Gert
10
2003
Chaos and quasi-periodicity in diffeomorphisms of the solid torus. Zbl 1202.37034
Broer, Henk W.; Simó, Carles; Vitolo, Renato
10
2010
The dynamics of a low-order model for the Atlantic multidecadal oscillation. Zbl 1218.37117
Broer, Henk; Dijkstra, Henk; Simó, Carles; Sterk, Alef; Vitolo, Renato
9
2011
Bifurcations of a predator-prey model with non-monotonic response function. Zbl 1096.34532
Broer, H. W.; Naudot, Vincent; Roussarie, Robert; Saleh, Khairul
8
2005
KAM theory: The legacy of Kolmogorov’s 1954 paper. Zbl 1050.37030
Broer, Henk W.
8
2004
Geometry of KAM tori for nearly integrable Hamiltonian systems. Zbl 1131.37057
Broer, Henk; Cushman, Richard; Fassó, Francesco; Takens, Floris
8
2007
On the Bogdanov-Takens bifurcation for planar diffeomorphisms. Zbl 0938.37512
Broer, H. W.; Roussarie, R.; Simó, C.
7
1993
Uncovering fractional monodromy. Zbl 1343.37040
Efstathiou, K.; Broer, H. W.
7
2013
Exponential confinement of chaos in the bifurcation sets of real analytic diffeomorphisms. Zbl 1198.37069
Broer, Henk W.; Roussarie, Robert
7
2001
Generic Hopf-Neĭmark-Sacker bifurcations in feed-forward systems. Zbl 1369.37061
Broer, Henk W.; Vegter, Gert
7
2008
Organising centres in the semi-global analysis of dynamical systems. Zbl 1211.37020
Broer, H. W.; Naudot, V.; Roussarie, R.; Saleh, K.; Wagener, F. O. O.
7
2007
On the destruction of resonant Lagrangean tori in Hamiltonian systems. Zbl 1314.37044
Broer, Henk W.; Hanßmann, Heinz; You, Jiangong
7
2013
Numerical continuation of normally hyperbolic invariant manifolds. Zbl 1123.34036
Broer, H. W.; Hagen, A.; Vegter, G.
6
2007
On Jupiter and his Galilean satellites: librations of de Sitter’s periodic motions. Zbl 1388.70007
Broer, Henk W.; Hanßmann, Heinz
6
2016
Robustness of unstable attractors in arbitrarily sized pulse-coupled networks with delay. Zbl 1137.34037
Broer, Henk; Efstathiou, Konstantinos; Subramanian, Easwar
6
2008
Dynamical systems and chaos. Zbl 1283.37001
Broer, Henk; Takens, Floris
6
2009
Geometry and dynamics of mildly degenerate Hopf-Neĭmarck-Sacker families near resonance. Zbl 1179.37070
Broer, H. W.; Holtman, S. J.; Vegter, G.; Vitolo, R.
6
2009
New nonlinear mechanisms of midlatitude atmospheric low-frequency variability. Zbl 1186.37101
Sterk, A. E.; Vitolo, R.; Broer, H. W.; Simó, C.; Dijkstra, H. A.
6
2010
On the computation of normally hyperbolic invariant manifolds. Zbl 0842.58066
Broer, H. W.; Osinga, H. M.; Vegter, G.
5
1996
Integrable and non-integrable deformations of the skew Hopf bifurcation. Zbl 1012.37031
Broer, H. W.; Takens, F.; Wagener, F. O. O.
5
1999
Quasi-periodic stability of subfamilies of an unfolded skew Hopf bifurcation. Zbl 0957.37042
Broer, H. W.; Wagener, F. O. O.
5
2000
Quasi periodic flow near a codimension one singularity of a divergence free vector field in dimension four. Zbl 0517.58033
Braaksma, B. L. J.; Broer, H. W.
5
1983
Preliminaries of dynamical systems theory. Zbl 1241.37004
Broer, H. W.; Takens, F.
5
2010
Resonance and fractal geometry. Zbl 1356.70028
Broer, Henk W.
5
2012
A geometric fractional monodromy theorem. Zbl 1211.37070
Broer, Henk; Efstathiou, Konstantinos; Lukina, Olga
5
2010
Coupled Hopf-bifurcations: Persistent examples of \(n\)-quasiperiodicity determined by families of 3-jets. Zbl 1039.37030
Broer, Henk
5
2003
Unicity of KAM tori. Zbl 1130.37376
Broer, Henk; Takens, Floris
5
2007
De Sitter’s theory of Galilean satellites. Zbl 1374.70028
Broer, Henk; Zhao, Lei
5
2017
Persistence properties of normally hyperbolic Tori. Zbl 1400.37067
Broer, Henk; Hanßmann, Heinz; Wagener, Florian
5
2018
Global properties of integrable Hamiltonian systems. Zbl 1229.37052
Lukina, O. V.; Takens, F.; Broer, H. W.
4
2008
Mixed spectra and rotational symmetry. Zbl 0789.58050
Broer, Henk; Takens, Floris
4
1993
Quasi periodic flow near a codimension one singularity of a divergence free vector field in dimension three. Zbl 0485.58017
Broer, Henk
4
1981
Geometry of resonance tongues. Zbl 1120.37034
Broer, Henk W.; Golubitsky, Martin; Vegter, Gert
4
2007
Dynamical systems modeling of low-frequency variability in low-order atmospheric models. Zbl 1163.86003
Broer, Henk; Vitolo, Renato
4
2008
Analysis of a slow-fast system near a cusp singularity. Zbl 1341.34059
Jardón-Kojakhmetov, H.; Broer, Henk W.; Roussarie, R.
4
2016
KAM-theory: Multi-periodicity in conservative and dissipative systems. Zbl 0967.37044
Broer, H. W.
3
1996
A numerical survey on the Takens-Bogdanov bifurcation for diffeomorphisms. Zbl 1026.37517
Simó, Carles; Broer, Henk; Roussarie, Robert
3
1991
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.)
3
2001
Global qualitative analysis of a quartic ecological model. Zbl 1364.34070
Broer, Henk W.; Gaiko, Valery A.
3
2010
Survey of strong normal-internal \(k:\ell\) resonances in quasi-periodically driven oscillators for \(\ell=1,2,3\). Zbl 1160.34031
Broer, H. W.; van Dijk, R.; Vitolo, R.
3
2008
Recognition of the bifurcation type of resonance in mildly degenerate Hopf-Neĭmark-Sacker families. Zbl 1160.37015
Broer, H. W.; Holtman, S. J.; Vegter, G.
3
2008
The boundary-Hopf-fold bifurcation in Filippov systems. Zbl 1365.34036
Efstathiou, Konstantinos; Liu, Xia; Broer, Henk W.
3
2015
Computing a normally hyperbolic invariant manifold of saddle type. Zbl 0861.65068
Broer, H. W.; Osinga, H. M.; Vegter, G.
2
1996
Dynamical systems and bifurcations. Proceedings of a Workshop held in Groningen, The Netherlands, April 16-20, 1984. Zbl 0552.00007
Braaksma, B. L. J. (ed.); Broer, H. W. (ed.); Takens, F. (ed.)
2
1985
Dynamics and geometry near resonant bifurcations. Zbl 1218.37064
Broer, Henk W.; Holtman, Sijbo J.; Vegter, Gert; Vitolo, Renato
2
2011
Quasi-periodic Hénon-like attractors in the Lorenz-84 climate model with seasonal forcing. Zbl 1132.34040
Broer, H. W.; Vitolo, R.; Simó, C.
2
2005
Bernoulli’s light ray solution of the brachistochrone problem through Hamilton’s eyes. Zbl 1300.01014
Broer, Henk W.
2
2014
Recognition of resonance type in periodically forced oscillators. Zbl 1205.37063
Broer, H. W.; Holtman, S. J.; Vegter, G.
2
2010
Quasi-periodic Hopf-bifurcations in forced oscillations. Zbl 0668.34040
Broer, H. W.
2
1987
Dynamical systems and chaos. A revolution from mathematics. (Dynamische systemen en chaos. Een revolutie vanuit de wiskunde.) Zbl 0745.58005
Broer, H. W. (ed.); Verhulst, F. (ed.)
1
1990
Nonlinear dynamical systems and chaos. Proceedings of the dynamical systems conference, held at the University of Groningen, Netherlands in Dec. 1995, in honour of Johann Bernoulli. Zbl 0830.00032
Broer, H. W. (ed.); van Gils, S. A. (ed.); Hoveijn, I. (ed.); Takens, F. (ed.)
1
1996
Multiple purpose algorithms for invariant manifolds. Zbl 1030.37055
Broer, Henk; Hagen, Aaron; Vegter, Gert
1
2003
Numerical approximation of normally hyperbolic invariant manifolds. Zbl 1062.34048
Broer, Henk; Hagen, Aaron; Vegter, Gert
1
2003
The parametrically forced pendulum: A case study in \(1\frac12\) degree of freedom. Zbl 1061.37039
Broer, H. W.; Hoveijn, I.; van Noort, M.; Simó, C.; Vegter, G.
1
2004
Hamiltonian monodromy and Morse theory. Zbl 07191225
Martynchuk, N.; Broer, H. W.; Efstathiou, K.
1
2020
Bifurcations in volume-preserving systems. Zbl 1422.37035
Broer, Henk W.; Hanßmann, Heinz
1
2019
Persistence properties of normally hyperbolic Tori. Zbl 1400.37067
Broer, Henk; Hanßmann, Heinz; Wagener, Florian
5
2018
De Sitter’s theory of Galilean satellites. Zbl 1374.70028
Broer, Henk; Zhao, Lei
5
2017
On Jupiter and his Galilean satellites: librations of de Sitter’s periodic motions. Zbl 1388.70007
Broer, Henk W.; Hanßmann, Heinz
6
2016
Analysis of a slow-fast system near a cusp singularity. Zbl 1341.34059
Jardón-Kojakhmetov, H.; Broer, Henk W.; Roussarie, R.
4
2016
Handbook of dynamical systems. Volume 3. Reprint of the 2010 hardback edition. Zbl 1349.37002
Broer, Henk; Hasselblatt, Boris; Takens, Floris
1
2016
The boundary-Hopf-fold bifurcation in Filippov systems. Zbl 1365.34036
Efstathiou, Konstantinos; Liu, Xia; Broer, Henk W.
3
2015
Bernoulli’s light ray solution of the brachistochrone problem through Hamilton’s eyes. Zbl 1300.01014
Broer, Henk W.
2
2014
Cotangent bundle reduction and Poincaré-Birkhoff normal forms. Zbl 1417.37192
Çiftçi, Ünver; Waalkens, Holger; Broer, Henk W.
1
2014
Polynomial normal forms of constrained differential equations with three parameters. Zbl 1305.34056
Jardón-Kojakhmetov, H.; Broer, Henk W.
1
2014
Geometric desingularization of a cusp singularity in slow-fast systems with applications to Zeeman’s examples. Zbl 1288.34051
Broer, Henk W.; Kaper, Tasso J.; Krupa, Martin
15
2013
Uncovering fractional monodromy. Zbl 1343.37040
Efstathiou, K.; Broer, H. W.
7
2013
On the destruction of resonant Lagrangean tori in Hamiltonian systems. Zbl 1314.37044
Broer, Henk W.; Hanßmann, Heinz; You, Jiangong
7
2013
Large scale radial stability density of Hill’s equation. Zbl 1275.34077
Broer, Henk; Levi, Mark; Simo, Carles
1
2013
Extreme value laws in dynamical systems under physical observables. Zbl 1306.37034
Holland, Mark P.; Vitolo, Renato; Rabassa, Pau; Sterk, Alef E.; Broer, Henk W.
14
2012
Resonance and fractal geometry. Zbl 1356.70028
Broer, Henk W.
5
2012
Perspectives on the legacy of Poincaré in the field of dynamical systems. Zbl 1260.37002
Broer, Henk
1
2012
Quasi-periodic bifurcations of invariant circles in low-dimensional dissipative dynamical systems. Zbl 1225.37087
Vitolo, Renato; Broer, Henk; Simó, Carles
22
2011
Dynamical systems and chaos. Zbl 1218.37001
Broer, Henk; Takens, Floris
21
2011
The dynamics of a low-order model for the Atlantic multidecadal oscillation. Zbl 1218.37117
Broer, Henk; Dijkstra, Henk; Simó, Carles; Sterk, Alef; Vitolo, Renato
9
2011
Dynamics and geometry near resonant bifurcations. Zbl 1218.37064
Broer, Henk W.; Holtman, Sijbo J.; Vegter, Gert; Vitolo, Renato
2
2011
Pacer cell response to periodic Zeitgebers. Zbl 1227.92004
Beersma, D. G. M.; Broer, H. W.; Efstathiou, K.; Gargar, K. A.; Hoveijn, I.
1
2011
KAM theory: quasi-periodicity in dynamical systems. Zbl 1242.37040
Broer, H. W.; Sevryuk, Mikhail B.
21
2010
Routes to chaos in the Hopf-saddle-node bifurcation for fixed points of 3D-diffeomorphisms. Zbl 1204.37050
Vitolo, Renato; Broer, Henk; Simó, Carles
11
2010
Chaos and quasi-periodicity in diffeomorphisms of the solid torus. Zbl 1202.37034
Broer, Henk W.; Simó, Carles; Vitolo, Renato
10
2010
New nonlinear mechanisms of midlatitude atmospheric low-frequency variability. Zbl 1186.37101
Sterk, A. E.; Vitolo, R.; Broer, H. W.; Simó, C.; Dijkstra, H. A.
6
2010
Preliminaries of dynamical systems theory. Zbl 1241.37004
Broer, H. W.; Takens, F.
5
2010
A geometric fractional monodromy theorem. Zbl 1211.37070
Broer, Henk; Efstathiou, Konstantinos; Lukina, Olga
5
2010
Global qualitative analysis of a quartic ecological model. Zbl 1364.34070
Broer, Henk W.; Gaiko, Valery A.
3
2010
Recognition of resonance type in periodically forced oscillators. Zbl 1205.37063
Broer, H. W.; Holtman, S. J.; Vegter, G.
2
2010
Do Diophantine vectors form a Cantor bouquet? Zbl 1195.37027
Broer, Henk
1
2010
Handbook of dynamical systems. Volume 3. Zbl 1216.37002
Broer, Henk; Hasselblatt, Boris; Takens, Floris
1
2010
Quasi-periodic stability of normally resonant tori. Zbl 1156.37318
Broer, Henk W.; Ciocci, M. Cristina; Hanßmann, Heinz; Vanderbauwhede, André
21
2009
Dynamical systems and chaos. Zbl 1283.37001
Broer, Henk; Takens, Floris
6
2009
Geometry and dynamics of mildly degenerate Hopf-Neĭmarck-Sacker families near resonance. Zbl 1179.37070
Broer, H. W.; Holtman, S. J.; Vegter, G.; Vitolo, R.
6
2009
Hopf saddle-node bifurcation for fixed points of 3D-diffeomorphisms: Analysis of a resonance ‘bubble’. Zbl 1165.37017
Broer, Henk; Simó, Carles; Vitolo, Renato
20
2008
The Hopf-saddle-node bifurcation for fixed points of 3D-diffeomorphisms: The Arnol’d resonance web. Zbl 1154.37319
Broer, Henk; Simó, Carles; Vitolo, Renato
20
2008
Heteroclinic cycles between unstable attractors. Zbl 1153.34001
Broer, Henk; Efstathiou, Konstantinos; Subramanian, Easwar
11
2008
Generic Hopf-Neĭmark-Sacker bifurcations in feed-forward systems. Zbl 1369.37061
Broer, Henk W.; Vegter, Gert
7
2008
Robustness of unstable attractors in arbitrarily sized pulse-coupled networks with delay. Zbl 1137.34037
Broer, Henk; Efstathiou, Konstantinos; Subramanian, Easwar
6
2008
Global properties of integrable Hamiltonian systems. Zbl 1229.37052
Lukina, O. V.; Takens, F.; Broer, H. W.
4
2008
Dynamical systems modeling of low-frequency variability in low-order atmospheric models. Zbl 1163.86003
Broer, Henk; Vitolo, Renato
4
2008
Survey of strong normal-internal \(k:\ell\) resonances in quasi-periodically driven oscillators for \(\ell=1,2,3\). Zbl 1160.34031
Broer, H. W.; van Dijk, R.; Vitolo, R.
3
2008
Recognition of the bifurcation type of resonance in mildly degenerate Hopf-Neĭmark-Sacker families. Zbl 1160.37015
Broer, H. W.; Holtman, S. J.; Vegter, G.
3
2008
The Hopf-saddle-node bifurcation for fixed points of 3D-diffeomorphisms. Zbl 1148.37309
Vitolo, R.; Broer, H. W.; Simó, C.
1
2008
Normal linear stability of quasi-periodic tori. Zbl 1184.37045
Broer, H. W.; Hoo, J.; Naudot, V.
30
2007
Dynamics of a predator-prey model with non-monotonic response. Zbl 1129.92061
Broer, H. W.; Saleh, K.; Naudot, V.; Roussarie, R.
17
2007
The quasi-periodic reversible Hopf bifurcation. Zbl 1141.37342
Broer, Henk W.; Ciocci, M. Cristina; Hanßmann, Heinz
15
2007
The quasi-periodic Hamiltonian Hopf bifurcation. Zbl 1121.37042
Broer, Henk W.; Hanßmann, Heinz; Hoo, Jun
11
2007
Geometry of KAM tori for nearly integrable Hamiltonian systems. Zbl 1131.37057
Broer, Henk; Cushman, Richard; Fassó, Francesco; Takens, Floris
8
2007
Organising centres in the semi-global analysis of dynamical systems. Zbl 1211.37020
Broer, H. W.; Naudot, V.; Roussarie, R.; Saleh, K.; Wagener, F. O. O.
7
2007
Numerical continuation of normally hyperbolic invariant manifolds. Zbl 1123.34036
Broer, H. W.; Hagen, A.; Vegter, G.
6
2007
Unicity of KAM tori. Zbl 1130.37376
Broer, Henk; Takens, Floris
5
2007
Geometry of resonance tongues. Zbl 1120.37034
Broer, Henk W.; Golubitsky, Martin; Vegter, Gert
4
2007
Umbilical torus bifurcations in Hamiltonian systems. Zbl 1085.37048
Broer, Henk W.; Hanßmann, Heinz; You, Jiangong
12
2006
A predator-prey model with non-monotonic response function. Zbl 1164.37318
Broer, H. W.; Naudot, V.; Roussarie, R.; Saleh, K.
11
2006
Survey on dissipative KAM theory including quasi-periodic bifurcation theory. (Based on lectures by Henk Broer). Zbl 1216.37008
Ciocci, Maria-Cristina; Litvak-Hinenzon, Anna; Broer, Henk
16
2005
Bifurcations of normally parabolic tori in Hamiltonian systems. Zbl 1181.37072
Broer, Henk W.; Hanßmann, Heinz; You, Jiangong
14
2005
Bifurcations of a predator-prey model with non-monotonic response function. Zbl 1096.34532
Broer, H. W.; Naudot, Vincent; Roussarie, Robert; Saleh, Khairul
8
2005
Quasi-periodic Hénon-like attractors in the Lorenz-84 climate model with seasonal forcing. Zbl 1132.34040
Broer, H. W.; Vitolo, R.; Simó, C.
2
2005
Existence and measure of 2-quasiperiodicity in Hamiltonaian one-and-a-half degree of freedom systems. Zbl 1102.37041
Broer, H. W.; van Noort, M.; Simó, C.
1
2005
KAM theory: The legacy of Kolmogorov’s 1954 paper. Zbl 1050.37030
Broer, Henk W.
8
2004
The parametrically forced pendulum: A case study in \(1\frac12\) degree of freedom. Zbl 1061.37039
Broer, H. W.; Hoveijn, I.; van Noort, M.; Simó, C.; Vegter, G.
1
2004
Normal-internal resonances in quasi-periodically forced oscillators: a conservative approach. Zbl 1049.34044
Broer, Henk; Hanßmann, Heinz; Jorba, Ángel; Villanueva, Jordi; Wagener, Florian
23
2003
Resonance tongues and instability pockets in the quasi-periodic Hill-Schrödinger equation. Zbl 1098.37014
Broer, Henk; Puig, Joaquim; Simó, Carles
17
2003
The geometry of resonance tongues: a singularity theory approach. Zbl 1035.37035
Broer, Henk W.; Golubitsky, Martin; Vegter, Gert
14
2003
Bifurcations in Hamiltonian systems. Computing singularities by Gröbner bases. Zbl 1029.37033
Broer, Henk; Hoveijn, Igor; Lunter, Gerton; Vegter, Gert
10
2003
Coupled Hopf-bifurcations: Persistent examples of \(n\)-quasiperiodicity determined by families of 3-jets. Zbl 1039.37030
Broer, Henk
5
2003
Multiple purpose algorithms for invariant manifolds. Zbl 1030.37055
Broer, Henk; Hagen, Aaron; Vegter, Gert
1
2003
Numerical approximation of normally hyperbolic invariant manifolds. Zbl 1062.34048
Broer, Henk; Hagen, Aaron; Vegter, Gert
1
2003
Bifurcations and strange attractors in the Lorenz-84 climate model with seasonal forcing. Zbl 1148.37307
Broer, Henk; Simó, Carles; Vitolo, Renato
26
2002
Exponential confinement of chaos in the bifurcation sets of real analytic diffeomorphisms. Zbl 1198.37069
Broer, Henk W.; Roussarie, Robert
7
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
3
2001
Resonance tongues in Hill’s equations: A geometric approach. Zbl 1046.34072
Broer, Henk; Simó, Carles
23
2000
Quasi-periodic stability of subfamilies of an unfolded skew Hopf bifurcation. Zbl 0957.37042
Broer, H. W.; Wagener, F. O. O.
5
2000
The inverted pendulum: A singularity theory approach. Zbl 0936.34029
Broer, H. W.; Hoveijn, I.; van Noort, M.; Vegter, G.
10
1999
Integrable and non-integrable deformations of the skew Hopf bifurcation. Zbl 1012.37031
Broer, H. W.; Takens, F.; Wagener, F. O. O.
5
1999
Towards global models near homoclinic tangencies of dissipative diffeomorphisms. Zbl 0937.37013
Broer, Henk; Simó, Carles; Tatjer, Joan Carles
43
1998
Hill’s equation with quasi-periodic forcing: resonance tongues, instability pockets and global phenomena. Zbl 0917.34019
Broer, Henk; Simó, Carles
31
1998
Equivariant singularity theory with distinguished parameters: two case studies of resonant Hamiltonian systems. Zbl 1194.34068
Broer, H. W.; Lunter, G. A.; Vegter, G.
14
1998
A reversible bifurcation analysis of the inverted pendulum. Zbl 1194.70029
Broer, H. W.; Hoveijn, I.; Van Noort, M.
13
1998
Resonances in a spring-pendulum: Algorithms for equivariant singularity theory. Zbl 0932.37041
Broer, H. W.; Hoveijn, I.; Lunter, G. A.; Vegter, G.
11
1998
Quasi-periodic motions in families of dynamical systems. Order amidst chaos. Zbl 0870.58087
Broer, H. W.; Huitema, G. B.; Sevryuk, M. B.
54
1997
Algorithms for computing normally hyperbolic invariant manifolds. Zbl 0872.34030
Broer, H. W.; Osinga, H. M.; Vegter, G.
27
1997
Families of quasi-periodic motions in dynamical systems depending on parameters. Zbl 0842.58067
Broer, H. W.; Huitema, G. B.; Sevryuk, M. B.
81
1996
Invariant circles in the Bogdanov-Takens bifurcation for diffeomorphisms. Zbl 0876.58032
Broer, Henk; Roussarrie, Robert; Simó, Carles
30
1996
On the computation of normally hyperbolic invariant manifolds. Zbl 0842.58066
Broer, H. W.; Osinga, H. M.; Vegter, G.
5
1996
KAM-theory: Multi-periodicity in conservative and dissipative systems. Zbl 0967.37044
Broer, H. W.
3
1996
Computing a normally hyperbolic invariant manifold of saddle type. Zbl 0861.65068
Broer, H. W.; Osinga, H. M.; Vegter, G.
2
1996
Nonlinear dynamical systems and chaos. Proceedings of the dynamical systems conference, held at the University of Groningen, Netherlands in Dec. 1995, in honour of Johann Bernoulli. Zbl 0830.00032
Broer, H. W.; van Gils, S. A.; Hoveijn, I.; Takens, F.
1
1996
Unfoldings of quasi-periodic tori in reversible systems. Zbl 0820.58050
Broer, H. W.; Huitema, G. B.
39
1995
Geometrical aspects of stability theory for Hill’s equations. Zbl 0840.34047
Broer, Henk; Levi, Mark
31
1995
The Hamiltonian double-zero eigenvalue. Zbl 0840.58018
Broer, H. W.; Chow, S.-N.; Kim, Y.-I.; Vegter, G.
12
1995
A normally elliptic Hamiltonian bifurcation. Zbl 0805.58047
Broer, H. W.; Chow, S. N.; Kim, Yong-In; Vegter, G.
23
1993
On the Bogdanov-Takens bifurcation for planar diffeomorphisms. Zbl 0938.37512
Broer, H. W.; Roussarie, R.; Simó, C.
7
1993
Mixed spectra and rotational symmetry. Zbl 0789.58050
Broer, Henk; Takens, Floris
4
1993
Bifurcational aspects of parametric resonance. Zbl 0893.58043
Broer, H. W.; Vegter, G.
21
1992
Structures in dynamics: finite dimensional deterministic studies. Zbl 0746.58002
Broer, H. W.; Dumortier, F.; van Strien, S. J.; Takens, F.
17
1991
A proof of the isoenergetic KAM-theorem from the “ordinary” one. Zbl 0721.58020
Broer, H. W.; Huitema, G. B.
14
1991
...and 16 more Documents
all top 5

Cited by 851 Authors

41 Broer, Henk W.
24 Simó, Carles
22 Hanßmann, Heinz
21 Xu, Junxiang
14 Zhang, Dongfeng
12 Celletti, Alessandra
11 Sevryuk, Mikhail Borisovich
10 Si, Wen
9 Efstathiou, Konstantinos
9 Gentile, Guido
9 Pucacco, Giuseppe
8 Haro, Àlex
8 Hoveijn, Igor
8 Sterk, Alef E.
8 Villanueva, Jordi
8 Wang, Xiaocai
7 Borisov, Alekseĭ Vladimirovich
7 de la Llave, Rafael
7 Li, Yong
7 Osinga, Hinke Maria
7 Si, Jianguo
7 Vegter, Gert
7 Yi, Yingfei
6 Calleja, Renato C.
6 Huang, Jicai
6 Kuznetsov, Yuri Alexandrovich
6 Llibre, Jaume
6 Lucarini, Valerio
6 Luque, Alejandro
6 Mamaev, Ivan Sergeevich
6 M-Seara, Tere
6 Vitolo, Renato
5 Algaba, Antonio
5 Ciocci, Maria-Cristina
5 Gaiko, Valery A.
5 Gazzola, Filippo
5 Govaerts, Willy J. F.
5 Inaba, Naohiko
5 Kamiyama, Kyohei
5 Krauskopf, Bernd
5 Kuznetsov, Aleksandr Petrovich
5 Lipnitskii, A. V.
5 Marchesiello, Antonella
5 Rodríguez-Luis, Alejandro J.
5 Stankevich, Nataliya Vladimirovna
5 Turaev, Dmitry V.
5 Vieiro, Arturo
5 Wagener, Florian
4 Aihara, Kazuyuki
4 Bäcker, Arnd
4 Berchio, Elvise
4 Chierchia, Luigi
4 Dieci, Luca
4 Endo, Tetsuro
4 Faranda, Davide
4 Figueras, Jordi-Lluís
4 Gaeta, Giuseppe
4 Gelfreich, Vassili
4 Holland, Mark P.
4 Jardón-Kojakhmetov, Hildeberto
4 Jorba, Àngel
4 Lamb, Jeroen S. W.
4 Li, Xuemei
4 Martínez, Regina
4 Martynchuk, Nikolay
4 Meijer, Hil G. E.
4 Meiss, James D.
4 Mezić, Igor
4 Naudot, Vincent
4 Nuñez, Daniel E.
4 Palacián, Jesús F.
4 Sataev, Igor’ Rustamovich
4 Sekikawa, Munehisa
4 van Noort, Martijn
4 Verhulst, Ferdinand
4 Vidal, Claudio
4 Wechselberger, Martin
4 Yan, Ping
4 Yanguas, Patricia
4 Yuan, Xiaoping
3 Ashwin, Peter
3 Barrio, Roberto
3 Biasco, Luca
3 Canadell, Marta
3 Castejón, Oriol
3 Elia, Cinzia
3 Fil’chenkov, Andreĭ Sergeevich
3 Freire Macías, Emilio
3 Freitas, Jorge Milhazes
3 González-Enríquez, Alejandra
3 Haller, George
3 Komuro, Motomasa
3 Kühn, Christian
3 Leonov, Gennadiĭ Alekseevich
3 Levi, Mark L.
3 Lu, Xuezhu
3 Mazrooei-Sebdani, Reza
3 Merino, Manuel
3 Messias, Marcelo
3 Mireles-James, Jason D.
...and 751 more Authors
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Cited in 152 Serials

66 Physica D
55 Journal of Differential Equations
36 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
30 Regular and Chaotic Dynamics
24 Chaos
19 SIAM Journal on Applied Dynamical Systems
18 Indagationes Mathematicae. New Series
16 Journal of Dynamics and Differential Equations
15 Communications in Mathematical Physics
14 Journal of Nonlinear Science
13 Nonlinear Dynamics
11 Journal of Mathematical Analysis and Applications
11 Nonlinearity
11 Chaos, Solitons and Fractals
11 Discrete and Continuous Dynamical Systems
10 Celestial Mechanics and Dynamical Astronomy
10 Dynamical Systems
9 Ergodic Theory and Dynamical Systems
9 Communications in Nonlinear Science and Numerical Simulation
8 Acta Applicandae Mathematicae
8 Journal of Mathematical Sciences (New York)
8 Journal of Difference Equations and Applications
7 Journal of Mathematical Physics
7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
7 Discrete and Continuous Dynamical Systems. Series B
6 Journal of Geometry and Physics
6 Applied Mathematics and Computation
6 Transactions of the American Mathematical Society
6 Qualitative Theory of Dynamical Systems
6 Nonlinear Analysis. Real World Applications
5 Archive for Rational Mechanics and Analysis
5 ZAMP. Zeitschrift für angewandte Mathematik und Physik
5 Discrete and Continuous Dynamical Systems. Series S
4 Bulletin of Mathematical Biology
4 Acta Mathematica Sinica. English Series
4 Differential Equations
4 Communications on Pure and Applied Analysis
3 Journal of Applied Mathematics and Mechanics
3 Journal of Statistical Physics
3 Mathematical Methods in the Applied Sciences
3 Mathematical Notes
3 Proceedings of the American Mathematical Society
3 Boletim da Sociedade Brasileira de Matemática. Nova Série
3 Abstract and Applied Analysis
3 Communications in Contemporary Mathematics
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Computers & Mathematics with Applications
2 Journal of Computational Physics
2 Physics Letters. A
2 Advances in Mathematics
2 Automatica
2 Duke Mathematical Journal
2 Journal of Computational and Applied Mathematics
2 Mathematics and Computers in Simulation
2 Memoirs of the American Mathematical Society
2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
2 Applied Numerical Mathematics
2 Acta Mathematicae Applicatae Sinica. English Series
2 Applied Mathematics Letters
2 Mathematical and Computer Modelling
2 SIAM Review
2 Annales de l’Institut Henri Poincaré. Physique Théorique
2 Complexity
2 Journal of Dynamical and Control Systems
2 Proceedings of the Steklov Institute of Mathematics
2 Journal of Biological Dynamics
2 Nonlinear Oscillations
2 The Journal of Mathematical Neuroscience
1 Acta Mechanica
1 Applicable Analysis
1 Biological Cybernetics
1 Computer Physics Communications
1 International Journal of Control
1 Journal of Fluid Mechanics
1 Journal of the Franklin Institute
1 Journal of Mathematical Biology
1 Moscow University Mathematics Bulletin
1 Physics Reports
1 Rocky Mountain Journal of Mathematics
1 Theoretical and Mathematical Physics
1 Reviews in Mathematical Physics
1 Prikladnaya Matematika i Mekhanika
1 Annales de l’Institut Fourier
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 BIT
1 Publications Mathématiques
1 Inventiones Mathematicae
1 Journal of Mathematical Economics
1 Journal für die Reine und Angewandte Mathematik
1 Manuscripta Mathematica
1 Mathematische Annalen
1 Numerische Mathematik
1 Results in Mathematics
1 Studies in Applied Mathematics
1 Topology and its Applications
1 Systems & Control Letters
1 Chinese Annals of Mathematics. Series B
1 Journal of Symbolic Computation
1 Journal of the American Mathematical Society
1 Neural Networks
...and 52 more Serials
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Cited in 48 Fields

444 Dynamical systems and ergodic theory (37-XX)
272 Ordinary differential equations (34-XX)
169 Mechanics of particles and systems (70-XX)
51 Biology and other natural sciences (92-XX)
44 Numerical analysis (65-XX)
36 Partial differential equations (35-XX)
20 Fluid mechanics (76-XX)
15 Global analysis, analysis on manifolds (58-XX)
14 Probability theory and stochastic processes (60-XX)
14 Systems theory; control (93-XX)
13 Operator theory (47-XX)
11 Difference and functional equations (39-XX)
11 Differential geometry (53-XX)
11 Quantum theory (81-XX)
11 Geophysics (86-XX)
10 Mechanics of deformable solids (74-XX)
6 Optics, electromagnetic theory (78-XX)
6 Information and communication theory, circuits (94-XX)
5 Statistics (62-XX)
5 Computer science (68-XX)
5 Statistical mechanics, structure of matter (82-XX)
4 Combinatorics (05-XX)
4 Real functions (26-XX)
4 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
3 Algebraic geometry (14-XX)
3 Several complex variables and analytic spaces (32-XX)
3 Manifolds and cell complexes (57-XX)
2 Number theory (11-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 Measure and integration (28-XX)
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2 Approximations and expansions (41-XX)
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1 Algebraic topology (55-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Relativity and gravitational theory (83-XX)
1 Operations research, mathematical programming (90-XX)

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