D-Index & Metrics Best Publications
Mathematics
New Zealand
2023

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 43 Citations 8,374 284 World Ranking 1155 National Ranking 3

Research.com Recognitions

Awards & Achievements

2023 - Research.com Mathematics in New Zealand Leader Award

Overview

What is he best known for?

The fields of study he is best known for:

  • Quantum mechanics
  • Mathematical analysis
  • Electrical engineering

The scientist’s investigation covers issues in Mathematical analysis, Semiconductor laser theory, Bifurcation, Statistical physics and Laser. He combines subjects such as Numerical continuation, Bifurcation theory and Center manifold with his study of Mathematical analysis. His Semiconductor laser theory research is multidisciplinary, relying on both Phase, Instability, Multistability and Bifurcation diagram.

He studies Bifurcation, namely Bifurcation analysis. As a part of the same scientific family, Bernd Krauskopf mostly works in the field of Statistical physics, focusing on Nonlinear system and, on occasion, Chaotic, Dissipative system and Mathematical model. The concepts of his Laser study are interwoven with issues in Perturbation and Semiconductor.

His most cited work include:

  • Nonlinear Dynamics of Interacting Populations (350 citations)
  • Mixed-Mode Oscillations with Multiple Time Scales (349 citations)
  • The dynamical complexity of optically injected semiconductor lasers (313 citations)

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

His scientific interests lie mostly in Laser, Bifurcation, Mathematical analysis, Control theory and Semiconductor laser theory. The study incorporates disciplines such as Phase and Semiconductor in addition to Laser. His specific area of interest is Bifurcation, where he studies Bifurcation diagram.

His Bifurcation diagram research includes themes of Bifurcation theory and Saddle-node bifurcation. His Mathematical analysis study combines topics from a wide range of disciplines, such as Vector field, Homoclinic orbit and Saddle. His studies deal with areas such as Chaotic, Statistical physics and Continuous wave as well as Semiconductor laser theory.

He most often published in these fields:

  • Laser (26.51%)
  • Bifurcation (25.98%)
  • Mathematical analysis (22.57%)

What were the highlights of his more recent work (between 2015-2021)?

  • Laser (26.51%)
  • Bifurcation (25.98%)
  • Delay differential equation (16.01%)

In recent papers he was focusing on the following fields of study:

His main research concerns Laser, Bifurcation, Delay differential equation, Optics and Mathematical analysis. His Laser research integrates issues from Photonics, Pulse wave and Multistability. His Bifurcation research is multidisciplinary, incorporating perspectives in Feedback loop, Invariant and Classical mechanics.

He studied Classical mechanics and Nonlinear system that intersect with Superradiance. His Delay differential equation study incorporates themes from Numerical continuation and Torus. He has researched Mathematical analysis in several fields, including Bifurcation theory and Saddle.

Between 2015 and 2021, his most popular works were:

  • Climate models with delay differential equations. (20 citations)
  • Resonance Phenomena in a Scalar Delay Differential Equation with Two State-Dependent Delays (18 citations)
  • Multipulse dynamics of a passively mode-locked semiconductor laser with delayed optical feedback. (16 citations)

In his most recent research, the most cited papers focused on:

  • Quantum mechanics
  • Mathematical analysis
  • Electrical engineering

The scientist’s investigation covers issues in Delay differential equation, Optics, Laser, Pulse and Periodic orbits. His work carried out in the field of Delay differential equation brings together such families of science as Statistical physics, Torus and Semiconductor laser theory. His Statistical physics research is multidisciplinary, incorporating elements of Structure, Chaotic and Coupling.

His biological study spans a wide range of topics, including Dynamic substructuring and Hybrid testing. His Bubble research incorporates elements of Invariant, Bifurcation, Classical mechanics and Forcing. The various areas that Bernd Krauskopf examines in his Nonlinear system study include Control theory and Simulation.

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

Nonlinear Dynamics of Interacting Populations

Alexander D Bazykin;Alexander I Khibnik;Bernd Krauskopf.
(1998)

733 Citations

Mixed-Mode Oscillations with Multiple Time Scales

Mathieu Desroches;John Guckenheimer;Bernd Krauskopf;Christian Kuehn.
Siam Review (2012)

493 Citations

The dynamical complexity of optically injected semiconductor lasers

S Wieczorek;B Krauskopf;B Krauskopf;TB Simpson;D Daan Lenstra;D Daan Lenstra.
Physics Reports (2005)

484 Citations

Numerical Continuation Methods for Dynamical Systems

Bernd Krauskopf;Hinke M. Osinga;Jorge Galán-Vioque.
(2007)

344 Citations

A SURVEY OF METHODS FOR COMPUTING (UN)STABLE MANIFOLDS OF VECTOR FIELDS

Bernd Krauskopf;Hinke M. Osinga;Eusebius J. Doedel;Michael E. Henderson.
International Journal of Bifurcation and Chaos (2005)

336 Citations

Computing Invariant Manifolds via the Continuation of Orbit Segments

Bernd Krauskopf;Hinke M. Osinga.
(2007)

308 Citations

Stability analysis of real‐time dynamic substructuring using delay differential equation models

MI Wallace;J Sieber;Simon A Neild;DJ Wagg.
Earthquake Engineering & Structural Dynamics (2005)

248 Citations

Bifurcations and multiple traffic jams in a car-following model with reaction-time delay

Gábor Orosz;Bernd Krauskopf;R.Eddie Wilson.
Physica D: Nonlinear Phenomena (2005)

170 Citations

Global bifurcation investigation of an optimal velocity traffic model with driver reaction time

Gábor Orosz;R. Eddie Wilson;Bernd Krauskopf.
Physical Review E (2004)

169 Citations

Numerical Continuation Methods for Dynamical Systems: Path following and boundary value problems

B Krauskopf;HM Osinga;J Galan-Vioque.
(2007)

159 Citations

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