Professor Hinke M Osinga

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Professor

Biography

See my homepage for detailed and up-to-date information

Research | Current

Research projects always contain a strong numerical component, which possibly include the development of a new computational method. Possible topics are:

​ The geometry of chaos, wild chaos and blenders

 Phase resetting and isochrons

 Dynamics of systems with multiple time-scales 

​ Intrinsic excitability and other transient effects

 Reliable analysis of structures under earthquake loads

Distinctions/Honours

Areas of expertise

  • Dynamical systems
  • Systems with multiple time scales
  • Algorithms for the computation of invariant manifolds
  • Transient phenomena and bifurcations organised by global manifolds
  • Applications in biology and engineering

Selected publications and creative works (Research Outputs)

  • Hittmeyer, S., Krauskopf, B., Osinga, H. M., & Shinohara, K. (2020). HOW TO IDENTIFY A HYPERBOLIC SET AS A BLENDER. Paper presented at Conference on Dynamics, Equations and Applications (DEA), Krakow, POLAND. 16 September - 20 September 2019. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. (pp. 22). 10.3934/dcds.2020295
    Other University of Auckland co-authors: Stefanie Hittmeyer
  • Giraldo, A., Krauskopf, B., & Osinga, H. M. (2020). Computing connecting orbits to infinity associated with a homoclinic flip bifurcation. Journal of Computational Dynamics, 7 (2), 489-510. 10.3934/JCD.2020020
    Other University of Auckland co-authors: Andrus Giraldo Munoz
  • Langfield, P., Krauskopf, B., & Osinga, H. M. (2020). A continuation approach to computing phase resetting curves. , 304, 3-30. 10.1007/978-3-030-51264-4_1
    Other University of Auckland co-authors: Bernd Krauskopf
  • Hittmeyer, S., Krauskopf, B., & Osinga, H. M. (2020). Generalized Mandelbrot and Julia Sets in a Family of Planar Angle-Doubling Maps. Springer Proceedings in Mathematics and Statistics. 10.1007/978-3-030-35502-9_2
    Other University of Auckland co-authors: Bernd Krauskopf, Stefanie Hittmeyer
  • Hasan, C. R., Osinga, H. M., Postlethwaite, C. M., & Rucklidge, A. M. (2019). Stability of periodic travelling waves in a Rock-Paper-Scissors model. Arxiv Related URL.
    Other University of Auckland co-authors: Cris Hasan
  • Hittmeyer, S., Krauskopf, B., Osinga, H. M., & Shinohara, K. (2018). Existence of blenders in a Henon-like family: geometric insights from invariant manifold computations. NONLINEARITY, 31 (10), R239-R267. 10.1088/1361-6544/aacd66
    Other University of Auckland co-authors: Bernd Krauskopf, Stefanie Hittmeyer
  • Farjami, S., Kirk, V., & Osinga, H. M. (2018). Interactions between a locally separating stable manifold and a bursting periodic orbit. EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS, 227 (5-6), 603-614. 10.1140/epjst/e2018-00138-1
    Other University of Auckland co-authors: Vivien Kirk
  • Osinga, H. M. (2018). Understanding the geometry of dynamics: the stable manifold of the Lorenz system. Journal of the Royal Society of New Zealand, 48 (2-3), 203-214. 10.1080/03036758.2018.1434802

Identifiers

Contact details

Primary office location

SCIENCE CENTRE 303 - Bldg 303
Level 2, Room 217
38 PRINCES ST
AUCKLAND CENTRAL
AUCKLAND 1010
New Zealand

Web links