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)

  • 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
  • Creaser, J. L., Krauskopf, B., & Osinga, H. M. (2017). Finding First Foliation Tangencies in the Lorenz System. SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS, 16 (4), 2127-2164. 10.1137/17M1112716
  • Hasan, C. R., Krauskopf, B., & Osinga, H. M. (2017). Mixed-Mode Oscillations and Twin Canard Orbits in an Autocatalytic Chemical Reaction. SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS, 16 (4), 2165-2195. 10.1137/16M1099248
  • Giraldo, A., Krauskopf, B., & Osinga, H. M. (2017). Saddle Invariant Objects and Their Global Manifolds in a Neighborhood of a Homoclinic Flip Bifurcation of Case B. SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS, 16 (1), 640-686. 10.1137/16M1097419
    Other University of Auckland co-authors: Bernd Krauskopf
  • Farjami, S., Kirk, V., & Osinga, H. M. (2016). Transient spike adding in the presence of equilibria. The European Physical Journal Special Topics, 225 (13-14), 2601-2612. 10.1140/epjst/e2015-50332-9
    Other University of Auckland co-authors: Vivien Kirk
  • Hannam, J., Krauskopf, B., & Osinga, H. M. (2016). Global isochrons of a planar system near a phaseless set with saddle equilibria. The European Physical Journal Special Topics, 225 (13-14), 2645-2654. 10.1140/epjst/e2016-60072-4
    Other University of Auckland co-authors: Bernd Krauskopf
  • Krauskopf, B., & Osinga, H. M. (2016). A codimension-four singularity with potential for action. Springer Proceedings in Mathematics and Statistics (pp. 253-268). 10.1007/978-3-319-31323-8_12
    Other University of Auckland co-authors: Bernd Krauskopf
  • Hittmeyer, S., Krauskopf, B., & Osinga, H. M. (2015). From wild Lorenz-like to wild Rovella-like dynamics. Dynamical Systems, 30 (4), 525-542. 10.1080/14689367.2015.1081677
    Other University of Auckland co-authors: Bernd Krauskopf