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Survey on dissipative KAM theory including quasi-periodic bifurcation theory based on lectures by Henk Broer
Broer, H. W., 2005, In: London Mathematical Society Lecture Note Series. 306, p. 303 - 355Research output: Contribution to journal › Article › Academic
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Klompendans op een pad bezaaid met doornen. Recensie van: H.W. van der Doel. Afscheid vn Indië. De val van het Nederlands imperium in Azië (Amsterdam, 2000)
Broersma, M. J., 29-Dec-2000, In: Leeuwarder Courant.Research output: Contribution to journal › Article › Professional
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Het onbehagen in de cultuur. Recensie van H.W. von der Dunk, De verdwijnende hemel. Over de cultuur van Europa in de twintigste eeuw (Amsterdam 2001)
Broersma, M. J., 2-Feb-2001, In: Leeuwarder Courant.Research output: Contribution to journal › Article › Professional
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Equadiff 2003
Broer, H. W. & Verduyn-Lunel, S. M., 2005, .. Singapore: World Scientific Publishing, (.).Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic
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Organising centres in the simi-global analysis of dynamical systems
Saleh, K., 2005, 133 p.Research output: Thesis › Thesis fully internal (DIV)
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On the Destruction of Resonant Lagrangean Tori in Hamiltonian Systems
Broer, H. W., Hanßmann, H. & You, J., 2013, Recent Trends in Dynamical Systems. Springer, p. 317-333 17 p.Research output: Chapter in Book/Report/Conference proceeding › Chapter › Academic
5 Citations (Scopus) -
Wiskunde als kritische succesfactor?
Broer, H. W., 2006, In: Euclides. 81, 6, p. 282 - 285Research output: Contribution to journal › Article › Academic
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From a differentiable to a real analytic perturbation theory, applications to the Kupka Smale theorems
Broer, H. W. & Tangerman, F. M., Sept-1986, In: Ergodic Theory and Dynamical Systems. 6, p. 345-362 18 p.Research output: Contribution to journal › Article › Academic › peer-review
31 Citations (Scopus) -
KAM Theory: Quasi-periodicity in Dynamical Systems
Broer, H. W. & Sevryuk, M. B., 2010, Handbook of Dynamical Systems. Elsevier, p. 249-344 96 p.Research output: Chapter in Book/Report/Conference proceeding › Chapter › Academic
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Reinvention of geometry
Gulikers, I., 2005, 270 p.Research output: Thesis › Thesis fully internal (DIV)
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Preliminaries of Dynamical Systems Theory
Broer, H. W. & Takens, F., 2010, Handbook of Dynamical Systems. Elsevier, p. 1-42 42 p.Research output: Chapter in Book/Report/Conference proceeding › Chapter › Academic
8 Citations (Scopus) -
Preface
Broer, H. W., Kaashoek, M. A. & Pagter, B. D., 2014, In: Indagationes Mathematicae. 25, 2, p. 163 1 p.Research output: Contribution to journal › Article › Academic
24 Downloads (Pure) -
On the skew Hopf bifurcation
Wagener, F. O. O., 1998, 142 p.Research output: Thesis › Thesis fully internal (DIV)
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Computing a normally attracting invariant manifold of a Poincaré map
Broer, H. W. & Vegter, G., 1998, Charlemagne and his Heritage. Butzer, P. L., Jongen, H. T. & Oberschelp, W. (eds.). Mathematical Arts, p. 541 - 549 9 p.Research output: Chapter in Book/Report/Conference proceeding › Chapter › Professional
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Resonance and Singularities
Broer, H. W. & Vegter, G., 2013, Progress and Challenges in Dynamical Systems. Springer, p. 89-126 38 p.Research output: Chapter in Book/Report/Conference proceeding › Chapter › Academic
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A Proof of the Isoenergetic KAM-Theorem from the “Ordinary” One
Broer, H. W. & Huitema, G. B., Mar-1991, In: Journal of Differential Equations. 90, 1, p. 52-60 9 p.Research output: Contribution to journal › Article › Academic › peer-review
Open AccessFile30 Citations (Scopus)341 Downloads (Pure) -
On the skew Hopf bifurcation.
Wagener, F. O. O., 1999, [S.l.]: [s.n.]. 142 p.Research output: Thesis › Thesis fully internal (DIV)
Open AccessFile219 Downloads (Pure) -
Dynamics and geometry near resonant bifurcations
Holtman, S.-J., 2009, Groningen: s.n.. 136 p.Research output: Thesis › Thesis fully internal (DIV)
Open AccessFile1152 Downloads (Pure) -
Families of quasi-periodic motions in dynamical systems depending on parameters
Broer, H. W., Huitema, G. B. & Sevryuk, M. B., 1996, NONLINEAR DYNAMICAL SYSTEMS AND CHAOS. Broer, H., vanGils, S., Hoveijn & Takens, F. (eds.). BASEL: Birkhauser, p. 171-211 41 p. (PROGRESS IN NONLINEAR DIFFERENTIAL EQUATIONS AND THEIR APPLICATIONS; vol. 19).Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review
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Proceedings of the International Conference SPT 2001, Symmetry and Perturbation Theory: Book Review (Singapore etal., World Scientific 2001. XI, 247 pp. $49.00; ISBN 981-02-4793-1)
Broer, H. W., 2004, In: Zeitschrift für Angewandte Mathematik und Mechanik. 84, 02, p. 144 1 p.Research output: Contribution to journal › Book/Film/Article review › Professional
Open AccessFile95 Downloads (Pure) -
Bifurcations of a predator-prey model with non-monotonic response function
Broer, H. W., Naudot, V., Roussarie, R. & Saleh, K., 15-Nov-2005, In: Comptes Rendus Mathematique. 341, 10, p. 601-604 4 p.Research output: Contribution to journal › Article › Academic › peer-review
Open AccessFile18 Citations (Scopus)360 Downloads (Pure) -
A Versatile Algorithm for Computing Invariant Manifolds
Broer, H. W., Hagen, A. & Vegter, G., 2006, Model Reduction and Coarse-Graining Approaches for Multiscale Phenomena. University of Groningen, Johann Bernoulli Institute for Mathematics and Computer Science, p. 17-37 20 p.Research output: Chapter in Book/Report/Conference proceeding › Chapter › Academic
Open AccessFile365 Downloads (Pure) -
Geometry of torus bundles in integrable Hamiltonian systems
Lukina, O., 2008, Groningen: s.n.. 118 p.Research output: Thesis › Thesis fully internal (DIV)
Open AccessFile1115 Downloads (Pure) -
On a quasi-periodic Hopf bifurcation
Braaksma, B. L. J. & Broer, H. W., 1987, In: Annales de l'institut Henri Poincaré (C) Analyse non linéaire. 54 p.Research output: Contribution to journal › Article › Academic
Open AccessFile60 Citations (Scopus)334 Downloads (Pure) -
Unfoldings of Quasi-periodic Tori in Reversible Systems
Broer, H. W. & Huitema, G. B., 1995, In: Journal of dynamics and differential equations. 22 p.Research output: Contribution to journal › Article › Academic
Open AccessFile56 Citations (Scopus)354 Downloads (Pure) -
Avoiding Balaam's Mistake: Exploring Divine Action in an Age of Scientism
Smedes, T. A., 2004, Groningen: s.n.. 186 p.Research output: Thesis › Thesis fully internal (DIV)
Open AccessFile161 Downloads (Pure) -
Hill's equation with quasi-periodic forcing: resonance tongues, instability pockets and global phenomena
Broer, H. W. & Simó, C., 1998, In: Boletim da Sociedade Brasileira de Matemática. 29, p. 253 - 293 41 p.Research output: Contribution to journal › Article › Academic › peer-review
Open AccessFile70 Citations (Scopus)482 Downloads (Pure) -
Attractor switching in neuron networks and spatiotemporal filters for motion processing
Subramanian, E. N., 2008, [S.l.]: [s.n.]. 144 p.Research output: Thesis › Thesis fully internal (DIV)
Open AccessFile891 Downloads (Pure) -
A NORMALLY ELLIPTIC HAMILTONIAN BIFURCATION
Broer, H. W., Chow, S. N., Kim, Y. & Vegter, G., May-1993, In: Zeitschrift für Angewandte Mathematik und Mechanik. 44, 3, p. 389-432 44 p.Research output: Contribution to journal › Article › Academic › peer-review
Open AccessFile53 Citations (Scopus)420 Downloads (Pure) -
Subordinate Šil'nikov bifurcations near some singularities of vector fields having low codimension
Broer, H. W. & Vegter, G., 1984, In: Ergodic Theory and Dynamical Systems. 17 p.Research output: Contribution to journal › Article › Academic
Open AccessFile75 Citations (Scopus)337 Downloads (Pure) -
Integrable and non-integrable deformations of the skew Hopf bifurcation
Broer, H. W., Takens, F. & Wagener, F. O. O., 1999, In: Regular & chaotic dynamics. 4, 2, 28 p.Research output: Contribution to journal › Article › Academic
Open AccessFile14 Citations (Scopus)458 Downloads (Pure) -
Geometry and dynamics of mildly degenerate Hopf–Neĭmarck–Sacker families near resonance
Broer, H. W., Holtman, S. J., Vegter, G. & Vitolo, R., 2009, In: Nonlinearity. 22, 40 p.Research output: Contribution to journal › Article › Academic
Open AccessFile330 Downloads (Pure) -
Predictability of extreme values in geophysical models
Sterk, A. E., Holland, M. P., Rabassa, P., Broer, H. W. & Vitolo, R., 2012, In: Nonlinear processes in geophysics. 19, 5, p. 529-539 11 p.Research output: Contribution to journal › Article › Academic › peer-review
Open AccessFile19 Citations (Scopus)375 Downloads (Pure) -
Bifurcation analysis of the Topp model
Gaiko, V. A., Sterk, A. E. & Broer, H. W., 2022, Current Trends in Analysis, its Applications and Computation. Cerejeiras, P., Reissig, M., Sabadini, I. & Toft, J. (eds.). Cham: SPRINGER BIRKHAUSER, p. 3-9 7 p.Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review
Open AccessFile522 Downloads (Pure) -
The inverted pendulum: A singularity theory approach
Broer, H. W., Hoveijn, I., Noort, M. V. & Vegter, G., 1-Sept-1999, In: Journal of Differential Equations. 157, 1, p. 120-149 30 p.Research output: Contribution to journal › Article › Academic › peer-review
Open AccessFile23 Citations (Scopus)360 Downloads (Pure) -
Nearly-integrable perturbations of the Lagrange top: applications of KAM-theory
Broer, H. W., Hanßmann, H., Hoo, J. & Naudot, V., 2006, Dynamics & Stochastics. University of Groningen, Johann Bernoulli Institute for Mathematics and Computer Science, p. 286-303 18 p.Research output: Chapter in Book/Report/Conference proceeding › Chapter › Academic
Open AccessFile212 Downloads (Pure) -
Global Properties of Integrable Hamiltonian Systems
Lukina, O. V., Takens, F. & Broer, H. W., 2008, In: Regular & chaotic dynamics. 13, 6, p. 588-630 43 p.Research output: Contribution to journal › Article › Academic › peer-review
Open AccessFile13 Citations (Scopus)437 Downloads (Pure) -
A reversible bifurcation analysis of the inverted pendulum
Broer, H. W., Hoveijn, I. & Noort, M. V., 15-Jan-1998, In: Physica D: Nonlinear Phenomena. 112, 1-2, p. 50 - 63 14 p.Research output: Contribution to journal › Article › Academic › peer-review
Open AccessFile25 Citations (Scopus)446 Downloads (Pure) -
Meetkunde opnieuw uitgevonden: een studie naar de waarde en de toepassing van de geschiedenis van de meetkunde in het wiskundeonderwijs
van Gulik - Gulikers, I., 2005, Groningen: s.n.. 270 p.Research output: Thesis › Thesis fully internal (DIV)
Open AccessFile447 Downloads (Pure) -
Normal linear stability of quasi-periodic tori
Broer, H. W., Hoo, J. & Naudot, V., 15-Jan-2007, In: Journal of Differential Equations. 232, 2, p. 355-418 64 p.Research output: Contribution to journal › Review article › peer-review
Open AccessFile52 Citations (Scopus)297 Downloads (Pure) -
Resonances in a spring-pendulum: algorithms for equivariant singularity theory
Broer, H. W., Hoveijn, I., Lunter, G. A. & Vegter, G., Nov-1998, In: Nonlinearity. 11, 6, p. 1569-1605 37 p.Research output: Contribution to journal › Article › Academic › peer-review
Open AccessFile22 Citations (Scopus)603 Downloads (Pure) -
Organising Centres in the Semi-global Analysis of Dynamical Systems
Broer, H. W., Naudot, V., Roussarie, R., Saleh, K. & Wagener, F. O. O., 2007, In: International Journal of Applied Mathematics and Statistics. 12, D07, 30 p.Research output: Contribution to journal › Article › Academic
Open AccessFile17 Citations (Scopus)240 Downloads (Pure) -
Algorithms for computing normally hyperbolic invariant manifolds
Broer, H. W., Osinga, H. M. & Vegter, G., May-1997, In: Zeitschrift für Angewandte Mathematik und Mechanik. 48, 3, p. 480-524 45 p.Research output: Contribution to journal › Article › Academic
Open AccessFile64 Citations (Scopus)439 Downloads (Pure) -
Equivariant singularity theory with distinguished parameters: Two case studies of resonant Hamiltonian systems
Broer, H. W., Lunter, G. A. & Vegter, G., 15-Jan-1998, In: Physica D: Nonlinear Phenomena. 112, 1-2, p. 64-80 17 p.Research output: Contribution to journal › Article › Academic › peer-review
30 Citations (Scopus)55 Downloads (Pure) -
Dynamical systems modeling of low-frequency variability in low-order atmospheric models
Broer, H. W. & Vitolo, R., 2008, In: Discrete and Continuous Dynamical Aystems. Series B. 10, 2-3, p. 401-419 19 p.Research output: Contribution to journal › Article › Academic › peer-review
12 Citations (Scopus) -
Numerical continuation of normally hyperbolic invariant manifolds
Broer, H. W., Hagen, A. & Vegter, G., Jun-2007, In: Nonlinearity. 20, 6, p. 1499-1534 36 p.Research output: Contribution to journal › Article › Academic › peer-review
Open AccessFile11 Citations (Scopus)405 Downloads (Pure) -
Fungal tip growth arising through a codimension-1 global bifurcation
De Jong, T. G., Sterk, A. E. & Broer, H. W., 2020, In: International Journal of Bifurcation and Chaos. 30, 7, 20 p., 2050107.Research output: Contribution to journal › Article › Academic › peer-review
3 Citations (Scopus) -
Recognition of resonance type in periodically forced oscillators
Broer, H. W., Holtman, S. J. & Vegter, G., 1-Sept-2010, In: Physica D: Nonlinear Phenomena. 239, 17, p. 1627-1636 10 p.Research output: Contribution to journal › Article › Academic › peer-review
Open AccessFile3 Citations (Scopus)378 Downloads (Pure) -
A Predator-Prey Model with Non-Monotonic Response Function
Broer, H. W., Naudot, V., Roussarie, R. & Saleh, K., 2006, In: Regular & chaotic dynamics. 11, 2, p. 155-165 11 p.Research output: Contribution to journal › Article › Academic › peer-review
Open AccessFile20 Citations (Scopus)449 Downloads (Pure) -
Pacer cell response to periodic Zeitgebers
Beersma, D. G. M., Broer, H. W., Efstathiou, K., Gargar, K. A. & Hoveijn, I., 15-Sept-2011, In: Physica D: Nonlinear Phenomena. 240, 19, p. 1516-1527 12 p.Research output: Contribution to journal › Article › Academic › peer-review
Open AccessFile3 Citations (Scopus)359 Downloads (Pure)