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Mathematics

D-Index
31
Citations
4755
World Ranking
3314
National Ranking
12

Research.com Recognitions

  • 2016 - Fellow of the Royal Society of New Zealand
  • 2015 - SIAM Fellow For contributions to theory and computational methods for dynamical systems.

Overview

Hinke M. Osinga is affiliated with the University of Auckland in New Zealand. Their research spans multiple fields, prominently Physics and Astronomy, Mathematics, and Computer Science, with significant contributions to subfields such as Statistical and Nonlinear Physics, Computer Networks and Communications, Geometry and Topology, Mathematical Physics, and Molecular Biology.

The main topics addressed in Osinga's work include Quantum chaos and dynamical systems, Nonlinear Dynamics and Pattern Formation, Advanced Differential Equations and Dynamical Systems, Mathematical Dynamics and Fractals, stochastic dynamics and bifurcation, Chaos control and synchronization, and Neural dynamics and brain function.

Osinga has published extensively, with research appearing in several journals and venues. Frequent publication outlets include the Journal of Computational Dynamics, The ANZIAM Journal, arXiv (Cornell University), Communications in Nonlinear Science and Numerical Simulation, and Discrete and Continuous Dynamical Systems.

Recent papers authored or coauthored by Osinga are:

  • Computing connecting orbits to infinity associated with a homoclinic flip bifurcation, 2020, Journal of Computational Dynamics
  • How to identify a hyperbolic set as a blender, 2020, Discrete and Continuous Dynamical Systems
  • A Surface of Heteroclinic Connections Between Two Saddle Slow Manifolds in the Olsen Model, 2020, International Journal of Bifurcation and Chaos
  • Determining the global manifold structure of a continuous-time heterodimensional cycle, 2022, Journal of Computational Dynamics
  • Spatiotemporal stability of periodic travelling waves in a heteroclinic-cycle model, 2021, Nonlinearity

Several coauthors frequently collaborate with Osinga, including Bernd Krauskopf, Stefanie Hittmeyer, Maciej J. Capiński, Piotr Zgliczyński, and Andrus Giraldo.

Osinga was named a Fellow of the Royal Society of New Zealand in 2016. Additionally, they were recognized as a SIAM Fellow in 2015 for contributions to theory and computational methods for dynamical systems.

Best Publications

  • Mixed-Mode Oscillations with Multiple Time Scales

    Mathieu Desroches;John Guckenheimer;Bernd Krauskopf;Christian Kuehn

  • Numerical Continuation Methods for Dynamical Systems

    Bernd Krauskopf;Hinke M. Osinga;Jorge Galán-Vioque

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

    Bernd Krauskopf;Hinke M. Osinga;Eusebius J. Doedel;Michael E. Henderson

  • Computing Invariant Manifolds via the Continuation of Orbit Segments

    Bernd Krauskopf;Hinke M. Osinga

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

    B Krauskopf;HM Osinga;J Galan-Vioque

  • Growing 1D and Quasi-2D Unstable Manifolds of Maps

    Bernd Krauskopf;Hinke Osinga

  • Continuation of Quasi-periodic Invariant Tori

    Frank Schilder;Hinke M. Osinga;Werner Vogt

  • Two-dimensional global manifolds of vector fields

    Bernd Krauskopf;Hinke Osinga

  • Nonlinear Dynamics and Chaos : Where do we go from here?

    John Hogan;Alan Champneys;Bernd Krauskopf;Mario di Bernardo

  • Algorithms for computing normally hyperbolic invariant manifolds

    H. W. Broer;H. M. Osinga;G. Vegter

  • Computing One-Dimensional Stable Manifolds and Stable Sets of Planar Maps without the Inverse

    James P. England;Bernd Krauskopf;Hinke M. Osinga

  • Mixed-mode oscillations and slow manifolds in the self-coupled FitzHugh-Nagumo system.

    Mathieu Desroches;Bernd Krauskopf;Hinke M. Osinga

  • Full system bifurcation analysis of endocrine bursting models.

    Krasimira Tsaneva-Atanasova;Hinke M. Osinga;Thorsten Rieß;Arthur Sherman

  • A set oriented approach to global optimal control

    Oliver Junge;Hinke M. Osinga

  • Fourier methods for quasi-periodic oscillations

    Frank rer. nat Schilder;Werner Pd Dr. rer. nat. habil. Vogt;Stephan Schreiber;Hinke M. Osinga

  • Computing geodesic level sets on global (un)stable manifolds of vector fields

    Bernd Krauskopf;Hinke M. Osinga

  • Global bifurcations of the Lorenz manifold

    Eusebius J Doedel;Bernd Krauskopf;Hinke M Osinga

  • Numerical continuation of canard orbits in slow–fast dynamical systems

    MF Desroches;B Krauskopf;HM Osinga

  • The Geometry of Slow Manifolds near a Folded Node

    Mathieu Desroches;Bernd Krauskopf;Hinke M. Osinga

  • Growing 1D and quasi 2-D unstable manifolds of maps

    Unknown

  • Continuation-based Computation of Global Isochrons

    Hinke M. Osinga;Jeff Moehlis

  • Globalizing Two-Dimensional Unstable Manifolds of Maps

    Bernd Krauskopf;Hinke Osinga

Frequent Co-Authors

Bernd Krauskopf
Bernd Krauskopf University of Auckland
Eusebius J. Doedel
Eusebius J. Doedel Concordia University
Gert Vegter
Gert Vegter University of Groningen
John Guckenheimer
John Guckenheimer Cornell University
Hendrik Broer
Hendrik Broer University of Groningen
Jeff Moehlis
Jeff Moehlis University of California, Santa Barbara
Jon T. Brown
Jon T. Brown University of Exeter
Andrew D. Randall
Andrew D. Randall University of Exeter
Jay Hauser
Jay Hauser University of California, Los Angeles
Mario di Bernardo
Mario di Bernardo University of Naples Federico II

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