Professor Hinke M Osinga

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Professor

Biography

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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)

As of 29 October 2020 there will be no automatic updating of 'selected publications and creative works' from Research Outputs. Please continue to keep your Research Outputs profile up to date.
  • 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
  • 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
  • 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: Claire Postlethwaite, 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
  • 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