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

 Reliable analysis of structures under earthquake loads

​ Intrinsic excitability and other transient effects

 Dynamics of systems with multiple time-scales 

 Phase resetting and isochrons

Distinctions/Honours

Responsibilities

Departmental BSc Honours and Postgraduate Diploma Coordinator

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. (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
  • Hasan, C. R., Krauskopf, B., & Osinga, H. M. (2018). Saddle Slow Manifolds and Canard Orbits in [Formula: see text] and Application to the Full Hodgkin-Huxley Model. Journal of mathematical neuroscience, 8 (1)10.1186/s13408-018-0060-1
    Other University of Auckland co-authors: Cris Hasan
  • Mujica, J., Krauskopf, B., & Osinga, H. M. (2018). Tangencies Between Global Invariant Manifolds and Slow Manifolds Near a Singular Hopf Bifurcation. SIAM Journal on Applied Dynamical Systems, 17 (2), 1395-1431. 10.1137/17M1133452
    Other University of Auckland co-authors: Bernd Krauskopf
  • Farjami, S., Kirk, V., & Osinga, H. M. (2018). Computing the Stable Manifold of a Saddle Slow Manifold. SIAM Journal on Applied Dynamical Systems, 17 (1), 350-379. 10.1137/17M1132458
    Other University of Auckland co-authors: Vivien Kirk
  • Rubin, J. E., Krauskopf, B., & Osinga, H. M. (2018). Natural extension of fast-slow decomposition for dynamical systems. Physical review. E, 97 (1-1)10.1103/physreve.97.012215
    Other University of Auckland co-authors: Bernd Krauskopf
  • Rankin, J., & Osinga, H. M. (2017). Parameter-dependent behaviour of periodic channels in a locus of boundary crisis. EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS, 226 (9), 1739-1750. 10.1140/epjst/e2017-70048-x