Henk Broer > DSMP > MATHS > JBI > FWN > RUG

You can also find my publications on Google Scholar and ResearchGate

Popular, Reviews, etc.

H. W. Broer. Alles beweegt, maar waarheen. Nieuw Archief voor Wiskunde 5th series, 2016.   url
bib
A.E. Sterk, R. Vitolo, and H.W. Broer. Het onvoorspelbare venijn van de staart. Nieuw Archief voor Wiskunde 5th series, 14(3):164-167, 2013.   url
bib
H.W. Broer. Bernoulli’s lichtstraal-oplossing van het brachistochrone probleem door de ogen van Hamilton. Nieuw Archief voor Wiskunde 5th series, 14(2):98-107, 2013.   url
bib
H.W. Broer. Perspectives on the legacy of Poincaré in the field of dynamical systems. Nieuw Archief voor Wiskunde 5th series, 13(3):201-208, 2012.   url
bib
H.W. Broer and S.J. van Strien. In Memoriam, Floris Takens 1940-2010. Indag. Math., 22(3-4):137–143, 2011.   url
bib
H.W. Broer. Normal Forms in Perturbation Theory. In R. Meyers, eds., Encyclopaedia of Complexity & System Science. 2009.   url
bib
H.W. Broer and H. Hanßmann. Hamiltonian Perturbation Theory (and Transition to Chaos). In R. Meyers, eds., Encyclopaedia of Complexity & System Science. 2009.   url
bib
H.W. Broer. Quasi-Periodicity in Dissipative and Conservative Systems. Proceedings Symposium Henri Poincaré, Université Libre de Bruxelles, Solvay Institutes, 2004.   url
bib
H.W. Broer. Ken uw klassieken: Kolmogorov in het Concertgebouw. Nederlands Tijdschrift voor Natuurkunde, 70(1):20–21, 2004.   bib

Preprints

H. W. Broer and H. Hanssmann. Jupiter and his Galilean satellites: librations of De Sitter’s periodic orbits. Indagationes Mathematicae, 2016, to appear.   url
bib
H.W. Broer. Near the horizon: an invitation to geometric optics. MAA (Carus series)(to appear), 2014.   url
bib

Selected books

H.W. Broer (2013) Hemelverschijnselen nabij de horizon, naar Minnaert en Wegener, Bernoulli en Hamilton. Epsilon Uitgaven 77, 2013.   bib
H.W. Broer, B. Hasselblatt, and F. Takens (eds.) (2010) Handbook of Dynamical Systems. North-Holland, 2010.   bib
H.W. Broer and F. Takens (2011) Dynamical Systems and Chaos. Applied Mathematical Sciences 172, Springer, 2011.   url
bib
H.W. Broer, J. van de Craats, and F. Verhulst (2003) Het einde van de voorspelbaarheid? Chaostheorie, ideeën en toepassingen. Aramith Uitgevers – Epsilon Uitgaven 35, 2003.   bib
H.W. Broer, G.B. Huitema, and Sevryuk M.B. (1996) Quasi-periodic tori in families of dynamical systems: order amidst chaos. Lecture Notes in Mathematics 1645, Springer, 1996.   url
bib
H.W. Broer (1999) Meetkunde en fysica, met differentiaalvormen en integraalstellingen. Epsilon Uitgaven 44, 1999.   bib
H.W. Broer, F. Dumortier, S.J. van Strien, and F. Takens (1991) Structures in dynamics, finite dimensional deterministic studies. Studies in Mathematical Physics 2, North-Holland, 1991.   bib
H.W. Broer, G.B. Huitema, F. Takens, and B.L.J. Braaksma (1990) Unfoldings and bifurcations of quasi-periodic tori. Mem AMS 83(421), American Mathematical Society, 1990.   bib

Selected journal articles

H. Jardón Kojakhmetov, H.W. Broer, and R. Roussarie. Analysis of a slow–fast system near a cusp singularity. Journal of Differential Equations, 260(4):3785–3843, 2016.   url
bib
K. Efstathiou and H. W. Broer. Uncovering Fractional Monodromy. Comm. Math. Phys., 324:549–588, 2013.   url
bib
H.W. Broer, H. Hanßmann, and Y. You. On the destruction of resonant Lagrangean tori in Hamiltonian systems. In A. Johann, H.-P. Kruse, F. Rupp, and S. Schmitz, eds., Recent Trends in Dynamical Systems, Proceedings of a Conference in Honor of Jürgen Scheurle. Heidelberg, Springer, Ch. 13, 2013.   url
bib
H.W. Broer, M. Levi, and C. Simó. Large scale radial stability density of Hill’s equation. Nonlinearity, 26:565–589, 2013.   url
bib
D.G.M. Beersma, H.W. Broer, K. Efstathiou, K.A. Gargar, and I. Hoveijn. Pacer cell response to periodic Zeitgebers. Physica D, 19:1516–1527, 2011.   url
bib
H.W. Broer, C. Simó, and R. Vitolo. Chaos and quasi-periodicity in diffeomorphisms of the solid torus. Discrete Continuous Dynamical Systems - Series B, 14(3):871–905, 2010.   url
bib
H.W. Broer, R.H. Cushman, F. Fassó, and F. Takens. Geometry of KAM tori for nearly integrable Hamiltonian systems. Ergodic Theory & Dynamical Systems, 27:725–741, 2007.   url
bib
H.W. Broer and F. Takens. Unicity of KAM tori. Ergodic Theory & Dynamical Systems, 27:713–724, 2007.   url
bib
H.W. Broer, V. Naudot, and R. Roussarie. Catastrophy theory in Dulac unfoldings. Ergodic Theory & Dynamical Systems, 26:1–35, 2006.   url
bib
H.W. Broer, V. Naudot, R. Roussarie, and K. Saleh. Bifurcations of a predator-prey model with a non-monotonic response function. Comptes Rendus de l’Académie des sciences Ser. I, 341(10):601–604, 2005.   url
bib
H.W. Broer. KAM theory: the legacy of Kolmogorov’s 1954 paper. Bulletin AMS (New Series), 41(4):1–35, 2004.   url
bib
H.W. Broer, H. Hanßmann, A. Jorba, J. Villanueva, and F.O.O. Wagener. Normal-internal resonances in quasi-periodically forced oscillators: a conservative approach. Nonlinearity, 16:1751–1791, 2003.   url
bib
H.W. Broer, M. Golubitsky, and G. Vegter. The geometry of resonance tongues: A Singularity Theory approach. Nonlinearity, 16:1511–1538, 2003.   url
bib
H.W. Broer, J. Puig, and C. Simó. Resonance tongues and instability pockets in the quasi-periodic Hill-Schroedinger equation. Commun. Mathematical Physics, 241:467–503, 2003.   url
bib
H.W. Broer, C. Simó, and R. Vitolo. Bifurcations and strange attractors in the Lorenz-84 climate model with seasonal forcing. Nonlinearity, 15(4):1205–1267, 2003.   url
bib
H.W. Broer and F.O.O. Wagener. Quasi-periodic stability of subfamilies of an unfolded skew Hopf bifurcation. Arch. Rational Mechanics Analysis, 152:283–326, 2000.   url
bib
H.W. Broer and C. Simó. Resonance tongues in Hill’s equations: a geometric approach. J. Differential Equations, 166:290–327, 2000.   url
bib
H.W. Broer, C. Simó, and J.-C. Tatjer. Towards global models near homoclinic tangencies of dissipative diffeomorphisms. Nonlinearity, 11:667–770, 1998.   url
bib
H.W. Broer, R. Roussarie, and C. Simó. Invariant circles in the Bogdanov-Takens bifurcation for diffeomorphisms. Ergodic Theory & Dynamical Systems, 16:1147–1172, 1996.   url
bib
H.W. Broer and M. Levi. Geometrical aspects of stability theory for Hill’s equations. Arch. Rational Mechanics Analysis, 131:225–240, 1995.   url
bib
H.W. Broer and F. Takens. Mixed spectra and rotational symmetry. Arch. Rational Mechanics Analysis, 124:13–42, 1993.   url
bib
H.W. Broer and G.B. Huitema. A proof of the iso-energetic KAM-theorem from the ‘ordinary’ one. J. Differential Equations, 90(1):52–60, 1991.   url
bib
B.L.J. Braaksma and H.W. Broer. On a quasi-periodic Hopf bifurcation. Ann. Institut Henri Poincaré, Analyse non linéaire, 4(2):115–168, 1987.   bib
H.W. Broer and F.M. Tangerman. From a differentiable to a real analytic perturbation theory, applications to the Kupka Smale theorems. Ergodic Theory & Dynamical Systems, 6:345–362, 1986.   url
bib
H.W. Broer and G. Vegter. Subordinate Sil’nikov bifurcations near some singularities of vector fields having low codimension. Ergodic Theory & Dynamical Systems, 4:509–525, 1984.   url
bib