Professor Hinke M Osinga

Profile Image
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
  • 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
  • Doedel, E. J., Krauskopf, B., & Osinga, H. M. (2015). Global organization of phase space in the transition to chaos in the Lorenz system. Nonlinearity, 28 (11), R113-R139. 10.1088/0951-7715/28/11/R113
    Other University of Auckland co-authors: Bernd Krauskopf
  • Guckenheimer, J., Krauskopf, B., Osinga, H. M., & Sandstede, B. (2015). Invariant manifolds and global bifurcations. Chaos (Woodbury, N.Y.), 25 (9)10.1063/1.4915528
    Other University of Auckland co-authors: Bernd Krauskopf