D-Index & Metrics Best Publications

D-Index & Metrics D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines.

Discipline name D-index D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines. Citations Publications World Ranking National Ranking
Mathematics D-index 35 Citations 4,256 117 World Ranking 1938 National Ranking 23

Overview

What is he best known for?

The fields of study Hendrik Broer is best known for:

  • Hopf bifurcation
  • Saddle-node bifurcation
  • Bogdanov–Takens bifurcation

His Quantum mechanics study frequently involves adjacent topics like Resonance (particle physics). His Mathematical analysis study frequently intersects with other fields, such as Algebraic number. His research ties Codimension and Pure mathematics together. His Codimension study frequently draws parallels with other fields, such as Pure mathematics. His Geometry study typically links adjacent topics like Vector field. Vector field is often connected to Geometry in his work. He carries out multidisciplinary research, doing studies in Dynamical systems theory and Nonlinear system. He performs multidisciplinary study in the fields of Nonlinear system and Attractor via his papers. He connects Attractor with Dynamical systems theory in his research.

His most cited work include:

  • Subordinate Šil'nikov bifurcations near some singularities of vector fields having low codimension (80 citations)
  • Handbook of Dynamical Systems (80 citations)
  • On a quasi-periodic Hopf bifurcation (74 citations)

What are the main themes of his work throughout his whole career to date

By researching both Quantum mechanics and Statistical physics, Hendrik Broer produces research that crosses academic boundaries. In his articles, Hendrik Broer combines various disciplines, including Statistical physics and Quantum mechanics. His Mathematical analysis study frequently links to other fields, such as Hamiltonian system. Hendrik Broer incorporates Hamiltonian system and Integrable system in his studies. He regularly ties together related areas like Pure mathematics in his Integrable system studies. Hendrik Broer performs multidisciplinary study in the fields of Pure mathematics and Mathematical analysis via his papers. His Nonlinear system study frequently draws parallels with other fields, such as Saddle-node bifurcation. Hendrik Broer incorporates Saddle-node bifurcation and Bifurcation diagram in his research. Bifurcation diagram is frequently linked to Bifurcation in his study.

Hendrik Broer most often published in these fields:

  • Quantum mechanics (75.51%)
  • Mathematical analysis (75.51%)
  • Pure mathematics (65.31%)

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Best Publications

Handbook of Dynamical Systems

Hendrik Broer;Floris Takens;Boris Hasselblatt.
Elsevier (2010)

319 Citations

Unfoldings and Bifurcations of Quasi-Periodic Tori

Hendrik Wolter Broer;G. B Huitema;Floris Takens;Boele Lieuwe Jan Braaksma.
(1990)

291 Citations

Quasi-Periodic Motions in Families of Dynamical Systems: Order amidst Chaos

George Huitema;MB Sevryuk;Hendrik Broer.
(2002)

257 Citations

Dynamical Systems and Chaos

Hendrik Broer;Floris Takens.
(2010)

245 Citations

Quasi-periodic motions in families of dynamical systems

Hendrik Broer;George Huitema;MB Sevryuk.
(1996)

183 Citations

Subordinate Sil'nikov bifurcations near some singularities of vector fields having low codimension

Hendrik Broer;Gert Vegter.
Ergodic Theory and Dynamical Systems (1984)

129 Citations

Algorithms for computing normally hyperbolic invariant manifolds

H. W. Broer;H. M. Osinga;G. Vegter.
Zeitschrift für Angewandte Mathematik und Physik (1997)

120 Citations

Unfoldings of quasi-periodic tori

Hendrik Broer;George Huitema;Floris Takens.
Mem. AMS (1990)

119 Citations

Quasi-periodic bifurcations of invariant circles in low-dimensional dissipative dynamical systems

Renato Vitolo;Hendrik Broer;Carles Simo.
Regular & Chaotic Dynamics (2011)

106 Citations

Structures in Dynamics: Finite Dimensional Deterministic Studies

Hendrik Wolter Broer;Freddy Dumortier;S. J. Van Strien;Floris Takens.
(1991)

104 Citations

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