Henk Broer

Q: What Schools Are Affiliated With Henk Broer

Henk Broer is affiliated with the following schools: University of Amsterdam, University of Twente, Utrecht University, University of Groningen, Leiden University

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Henk Broer

Mathematics

#5897

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#8253

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Measure Theory

#2694

World Rank

#3218

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Mathematics

Henk Broer's Degrees

PhD Mathematics University of Amsterdam

Why Is Henk Broer Influential?

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According to Wikipedia, Hendrik Wolter Broer is a Dutch mathematician known for contributions to the theory of nonlinear dynamical systems. He was professor at the University of Groningen between 1981 and 2015. Biography Broer was granted a doctorate in the faculty of mathematics and natural sciences in 1979 under the supervision of Floris Takens for a thesis entitled Bifurcations of singularities in volume preserving vector fields. He was a professor at the University of Groningen, the Netherlands, from 1981 till his retirement in 2015. In 1985 he spent a semester as a guest professor of Boston University, Massachusetts. He is a long term member of the Royal Dutch Mathematical Society, serving as chairman from 2007 to 2009.

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Henk Broer's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Handbook of Dynamical Systems (2010) (382)
Quasi-Periodic Motions in Families of Dynamical Systems: Order amidst Chaos (2002) (256)
Quasi-periodic motions in families of dynamical systems (1996) (219)
Towards global models near homoclinic tangencies of dissipative diffeomorphisms (1998) (176)
Unfoldings and Bifurcations of Quasi-Periodic Tori (1990) (167)
Dynamical systems and turbulence, Warwick 1980 (1981) (119)
Bifurcations and strange attractors in the Lorenz-84 climate model with seasonal forcing (2002) (110)
Dynamical Systems and Chaos (2010) (104)
Invariant circles in the Bogdanov-Takens bifurcation for diffeomorphisms (1996) (100)
Subordinate Šil'nikov bifurcations near some singularities of vector fields having low codimension (1984) (97)
Hill's equation with quasi-periodic forcing: resonance tongues, instability pockets and global phenomena (1998) (92)
Algorithms for computing normally hyperbolic invariant manifolds (1997) (89)
Geometrical aspects of stability theory for Hill's equations (1995) (88)
Formal normal form theorems for vector fields and some consequences for bifurcations in the volume preserving case (1981) (87)
The Hopf-saddle-node bifurcation for fixed points of 3D-diffeomorphisms: the Arnol'd resonance web (2008) (82)
Encyclopedia of Complexity and Systems Science (2009) (79)
Global Analysis of Dynamical Systems (2001) (79)
Hopf saddle-node bifurcation for fixed points of 3D-diffeomorphisms: Analysis of a resonance ‘bubble’ (2008) (75)
Normal-internal resonances in quasi-periodically forced oscillators: a conservative approach (2003) (75)
Global Analysis of Dynamical Systems: Festschrift dedicated to Floris Takens for his 60th birthday (2001) (72)
Resonance Tongues in Hill's Equations: A Geometric Approach (2000) (70)
Unfoldings of quasi-periodic tori in reversible systems (1995) (69)
Bifurcational Aspects of Parametric Resonance (1992) (68)
On a quasi-periodic Hopf bifurcation (1987) (66)
Formally symmetric normal forms and genericity (1989) (65)
Normal linear stability of quasi-periodic tori (2007) (65)
Normal forms and bifurcations of planar vector fields (1995) (64)
Unfolding and bifurcations of quasi-periodic tori. I: Unfolding of quasi-periodic tori (1990) (62)
The geometry of resonance tongues: a singularity theory approach (2003) (60)
KAM theory: The legacy of Kolmogorov’s 1954 paper (2004) (59)
Routes to chaos in the Hopf-saddle-node bifurcation for fixed points of 3D-diffeomorphisms (2007) (56)
KAM Theory : Quasi-periodicity in Dynamical Systems (2010) (56)
Structures in Dynamics: Finite Dimensional Deterministic Studies (1991) (54)
Dynamical systems and bifurcations (1985) (52)
Toward a quasi-periodic bifurcation theory (1990) (52)
A proof of the isoenergetic KAM-theorem from the “ordinary” one (1991) (49)
Resonance Tongues and Instability Pockets in the Quasi–Periodic Hill–Schrödinger Equation (2003) (48)
From a differentiable to a real analytic perturbation theory, applications to the Kupka Smale theorems (1986) (47)
Geometry of KAM tori for nearly integrable Hamiltonian systems (2002) (46)
Families of quasi-periodic motions in dynamical systems depending on parameters (1996) (43)
Survey on dissipative KAM theory including quasi-periodic bifurcation theory based on lectures by Henk Broer (2005) (41)
Extreme value laws in dynamical systems under physical observables (2011) (41)
Quasi-periodic stability of normally resonant tori (2007) (40)
Dynamics of a predator-prey model with non-monotonic response function (2007) (39)
A reversible bifurcation analysis of the inverted pendulum (1998) (37)
Unfolding and bifurcations of quasi-periodic tori. II: Toward a quasi-periodic bifurcation theory (1990) (37)
Equivariant singularity theory with distinguished parameters: two case studies of resonant Hamiltonian systems (1998) (36)
Geometric Desingularization of a Cusp Singularity in Slow–Fast Systems with Applications to Zeeman’s Examples (2013) (36)
The quasi-periodic Hamiltonian Hopf bifurcation (2007) (36)
The Parametrically Forced Pendulum: A Case Study in 1 1/2 Degree of Freedom (2004) (35)
Bifurcations of singularities in volume preserving vector fields (1979) (33)
Resonances in a spring-pendulum: algorithms for equivariant singularity theory (1998) (32)
Exponential confinement of chaos in the bifurcation sets of real analytic diffeomorphisms (2001) (32)
Normal Forms in Perturbation Theory (2009) (31)
Chaos and quasi-periodicity in diffeomorphisms of the solid torus (2010) (31)
Bifurcations in Hamiltonian Systems: Computing Singularities by Gröbner Bases (2003) (30)
The inverted pendulum : A singularity theory approach (1999) (29)
Organising Centres in the Semi-global Analysis of Dynamical Systems (2007) (29)
The Quasi-Periodic Reversible Hopf bifurcation (2007) (28)
A Predator-Prey Model with Non-Monotonic Response Function (2006) (28)
Quasi periodic flow near a codimension one singularity of a divergence free vector field in dimension three (1981) (28)
Umbilical torus bifurcations in Hamiltonian systems (2006) (28)
Geometric Mechanics and Symmetry: Survey on dissipative KAM theory including quasi-periodic bifurcation theory (H. Broer) (2005) (28)
Mixed spectra and rotational symmetry (1993) (26)
Heteroclinic cycles between unstable attractors (2008) (26)
Geometry and analysis in nonlinear dynamics (1992) (26)
Global qualitative analysis of a quartic ecological model (2010) (24)
On the Bogdanov-Takens bifurcation for planar diffeomorphisms (1993) (21)
Bifurcations of normally parabolic tori in Hamiltonian systems (2005) (20)
Robustness of unstable attractors in arbitrarily sized pulse-coupled networks with delay (2007) (19)
Predictability of extreme values in geophysical models (2012) (19)
Unicity of KAM tori (2007) (18)
The dynamics of a low-order model for the Atlantic multidecadal oscillation (2010) (18)
Nonlinear Dynamical Systems and Chaos (2013) (18)
Generic Hopf–Neĭmark–Sacker bifurcations in feed-forward systems (2008) (18)
Resonance and Fractal Geometry (2012) (18)
Integrable and non-integrable deformations of the skew Hopf bifurcation (1999) (18)
Bifurcations of a predator-prey model with non-monotonic response function (2005) (17)
Numerical continuation of normally hyperbolic invariant manifolds (2007) (17)
Quasi-periodic Henon-like attractors in the Lorenz-84 climate model with seasonal forcing (2005) (17)
Quasi-Periodic Stability of Subfamilies of an Unfolded Skew Hopf Bifurcation (2000) (16)
Analysis of a slow–fast system near a cusp singularity (2015) (16)
Geometry of resonance tongues (2007) (16)
On the Destruction of Resonant Lagrangean Tori in Hamiltonian Systems (2013) (15)
Survey of strong normal-internal k: l resonances in quasi-periodically driven oscillators for l= 1, 2, 3 (2007) (14)
Bernoulli's Light Ray Solution of the Brachistochrone Problem Through Hamilton's Eyes (2014) (14)
Dynamical systems modeling of low-frequency variability in low-order atmospheric models (2008) (14)
Coupled Hopf-bifurcations : Persistent examples of n-quasiperiodicity determined by families of 3-jets (2003) (14)
Multiple purpose algorithms for invariant manifolds (2003) (13)
On Jupiter and his Galilean satellites: Librations of De Sitter's periodic motions (2016) (13)
Dynamics and geometry near resonant bifurcations (2011) (12)
Global properties of integrable Hamiltonian systems (2008) (12)
Geometry and dynamics of mildly degenerate Hopf–Neĭmarck–Sacker families near resonance (2009) (11)
Preliminaries of Dynamical Systems Theory (2010) (11)
Encylopedia of Complexity and System Science (2009) (11)
Quasi-periodicity in dissipative systems (2001) (11)
Perturbation theory (dynamical systems) (2008) (11)
Uncovering Fractional Monodromy (2013) (10)
Recognition of the bifurcation type of resonance in mildly degenerate Hopf–Neĭmark–Sacker families (2008) (10)
A geometric fractional monodromy theorem (2010) (10)
Chaos in Periodically Driven Systems (2000) (9)
The Boundary-Hopf-Fold Bifurcation in Filippov Systems (2015) (9)
On the computation of normally hyperbolic invariant manifolds (1996) (8)
INFINITELY MANY MODULI OF STRONG STABILITY IN DIVERGENCE FREE UNFOLDINGS OF SINGULARITIES OF VECTOR-FIELDS (1983) (8)
Polynomial normal forms of constrained differential equations with three parameters (2014) (8)
De Sitter’s theory of Galilean satellites (2017) (8)
KAM-Theory: Multi-Periodicity in conservative and dissipative systems (1996) (7)
Pacer cell response to periodic Zeitgebers (2010) (6)
Numerical Approximation of Normally Hyperbolic Invariant Manifolds (2003) (6)
Hamiltonian Monodromy and Morse Theory (2019) (6)
Recognition of resonance type in periodically forced oscillators (2010) (5)
EQUADIFF 2003: INTERNATIONAL CONFERENCE ON DIFFERENTIAL EQUATIONS (1993) (5)
Do Diophantine vectors form a Cantor bouquet? (2010) (5)
Reconstruction and time series analysis (2011) (4)
Proceedings Equadiff 91 (1993) (4)
Hamiltonian Perturbation Theory (and Transition to Chaos) (2009) (4)
Large scale radial stability density of Hill's equation (2013) (4)
Cotangent bundle reduction and Poincar\'e-Birkhoff normal forms (2012) (4)
Nearly-integrable perturbations of the Lagrange top : applications of KAM-theory (2006) (4)
Existence and measure of 2-quasiperiodicity in Hamiltonian one-and-a-half degree of freedom systems (2005) (4)
Quasi-Periodicity in Dissipative and Conservative Systems (2005) (3)
Catastrophe theory in Dulac unfoldings (2006) (3)
Persistence Properties of Normally Hyperbolic Tori (2018) (3)
Quasi-periodicity in local bifurcation theory (1983) (3)
The how and what of chaos (2000) (3)
Computing a normally hyperbolic invariant manifold of saddle type (1996) (3)
Global structure of dynamical systems (2011) (2)
Genericity and Structural Stability (1991) (2)
A Versatile Algorithm for Computing Invariant Manifolds (2006) (2)
EQUADIFF 2003: proceedings of the International Conference on Differential Equations, Hasselt, Belgium, 22-26 July 2003 (2005) (2)
Computing a normally attracting invariant manifold of a Poincaré map (1998) (2)
Bifurcations in Volume-Preserving Systems (2019) (2)
Images of SMC Research 1996 (1996) (2)
University of Groningen Quasi-periodic Bifurcations of Invariant Circles in Low-dimensional Dissipative Dynamical Systems (2011) (2)
Quasi-periodic response solutions at normal-internal resonances (2005) (2)
On some quasi-periodic bifurcations (1989) (2)
Fungal Tip Growth Arising Through a Codimension-1 Global Bifurcation (2019) (2)
Resonance and Singularities (2013) (2)
Recent advances in the monodromy theory of integrable Hamiltonian systems (2020) (2)
Coupled Hopf-bifurcations (2003) (1)
A Hamiltonian KAM theorem for bundles of Lagrangean tori (2005) (1)
TONGUES IN PARAMETRIC RESONANCE (2008) (1)
Progress and Challenges in Dynamical Systems (2013) (1)
De Sitter's Theory of Galilean Satellites and the Related Quasi-periodic Orbits (2015) (1)
Huygens' isochrone slinger (1995) (1)
The mechanism of parabolic resonance orbits (2005) (1)
Reducible linear quasi-periodic systems with positive Lyapunov exponent and varying rotation number (2000) (1)
De Sitter’s theory of Galilean satellites (2016) (1)
Conservative Dynamical Systems (1991) (1)
A predator-prey model with non-monotinic response function (2006) (1)
Examples and definitions of dynamical phenomena (2011) (1)
Global bifurcation analysis of Topp system (2019) (1)
A global KAM theorem: Monodromy in near integrable perturbations of spherical pendulum (2002) (1)
Nonlinear Processes in Geophysics Predictability of extreme values in geophysical models (2012) (1)
On symmetric omega-limit sets in reversible flows (1996) (1)
Chaos in three physical systems (2005) (0)
Normal resonances in a double Hopf bifurcation (2020) (0)
Limit cycles and stochastic resonance in a Langevin equation subject to white noise (2017) (0)
Generic Hopf-Neù bifurcations in feed-forward systems (2008) (0)
Recent Trends in Dynamical Systems (2013) (0)
Qualitative properties and predictability of evolutions (2011) (0)
7. Computing normalizing transformations (2003) (0)
Geometric Desingularization of a Cusp Singularity in Slow–Fast Systems with Applications to Zeeman’s Examples (2013) (0)
Proceedings of the International Conference SPT 2001, Symmetry and Perturbation Theory, Cala Gonone, Sardinia, Italy, 6–13 May 2001, edited by D. Bambusi, G. Gaetta, and M. Cadoni. (2004) (0)
D S ] 5 D ec 2 00 8 Quasi-periodic stability of normally resonant tori . (2018) (0)
Bifurcations from regular to chaotic behaviour in the Lorenz-84 climate model (2009) (0)
Atmospheric variability and the Atlantic Multidecadal Oscillation. Part A: dynamical analysis of a coupled ocean-atmosphere model (2005) (0)
Bifurcations in Volume-Preserving Systems (2019) (0)
5. Singularity theory (2003) (0)
6. Gröbner bases and Standard bases (2003) (0)
On KAM theory (2011) (0)
University of Groningen Multiple purpose algorithms for invariant manifolds (2007) (0)
Review of 'Henri Poincare: a scientific biography' by Jeremy Gray. (2014) (0)
The continuation theory (1996) (0)
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) (2004) (0)
Normal linear stability of quasi-periodic tori in the Hamiltonian 1: 1 resonance case (2005) (0)
3. Method II: The energy-momentum map (2003) (0)
Model Reduction and Coarse-Graining Approaches for Multiscale Phenomena (2006) (0)
Low-Frequency Variability in a Low-Order Shallow Water Atmospheric Model (2009) (0)
Introduction to Dynamical Systems (1991) (0)
2. Method I: Planar reduction (2003) (0)
Extension of catastrophe theory to Dulac unfoldings (2005) (0)
Normal-normal resonances in a double Hopf bifurcation (2020) (0)
Proceedings of the 4th AIMS Meeting (2003) (0)
In Memoriam Floris Takens: A total mathematician (2011) (0)
Renormalisatie in laag-dimensionale dynamica (2004) (0)
The Lorenz-84 climate model with seasonal forcing: a dynamic exploration (1998) (0)
Persistence of dynamical properties (2011) (0)
University of Groningen A Versatile Algorithm for Computing Invariant Manifolds (2006) (0)
Appendix, References and Index (2003) (0)
Nonlinear Dynamical Sysems and Chaos, Progress in Nonlinear Differential quations and their Applications (1996) (0)
Bifurcation theory in conformal dynamics (2000) (0)
Proceedings of Dynamic Systems Applications (1996) (0)
In Memoriam, Floris Takens 1940–2010 (2011) (0)
Introduction: On the structure and function of cultural repertoires (2003) (0)
The Hopf Hopf Bifurcation (2009) (0)
Near-Horizon Celestial Phenomena, a Study in Geometric Optics (2015) (0)
Mathematical Aspects of Nonlinear Dynamical Systems (1996) (0)
A ug 2 00 7 Quasi-periodic stability of normally resonant tori (2008) (0)
Renormalization in low dimensional dynamics (2004) (0)
Persistence Properties of Normally Hyperbolic Tori (2018) (0)
Proceedings of the International Conference SPT 2001, Symmetry and Perturbation Theory (2004) (0)
Charlemagne and his Heritage (1998) (0)
Limit Cycle Bifurcations in a Quartic Ecological Model (2009) (0)
Complicated Whitney-smooth families (1996) (0)
4. Birkhoff normalization (2003) (0)
A Family of Quasi-Periodic Attractors (1991) (0)
IMPORTANT NOTE: You are advised to consult the publisher's version (publisher's PDF) if you wish to cite from it. Please check the document version below. (2017) (0)
International Conference on Differential Equations, Hasselt, Belgium, 22-26 July 2003 : EQUADIFF 2003 (2005) (0)
University of Groningen Tongues in Parametric Resonance (2008) (0)
Pacer cell response to periodic (2011) (0)
LIMIT CYCLES OF A POPULATION DYNAMICS MODEL (2009) (0)
Slow manifolds in a singularly perturbed Hamiltonian system (2005) (0)
Hamiltonian Monodromy and Morse Theory (2019) (0)
Uncovering Fractional Monodromy (2013) (0)
PROBLEM SETTING AND SUMMARY OF THE RESULTS We continue the study by Duistermaat (2008) (0)
Dynamical systems and bifurcations : proceedings of a workshop held in Groningen, the Netherlands, April 16-20, 1984 (1985) (0)
JÜRGEN MOSER – 80 Global Properties of Integrable Hamiltonian Systems (2008) (0)
Perspectives on the legacy of Poincaré in the field of dynamical sytems (2012) (0)
A global KAM theorem (2003) (0)
Resonance and Fractal Geometry (2012) (0)

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