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Dr Hinke Osinga
Department of Engineering Mathematics
University of Bristol, UK

My adventures in mathematics, and dynamical systems in particular, started at the University of Groningen, the Netherlands. After obtaining a PhD in 1996, I held postdoctoral research contracts at the Geometry Center, University of Minnesota in Minneapolis, and Caltech, Pasadena. In January 2000 I joined the University of Exeter as a lecturer. I took up a lectureship at the University of Bristol in March 2001, and was promoted to Reader in August 2005. In April 2004 I became Portal Editor-in-Chief of DSWeb and I am Section Chief Editor of its quarterly newsletter DSWeb Magazine since the start of this SIAM web portal initiative in April 2001. In November 2005 I was elected Secretary of the SIAM activity group on dynamical systems.

My research interest is in dynamical systems. I hold an EPSRC Advanced Research Fellowship (2005-2010) on Global Invariant Manifolds: Applications, Critical Boundaries and Global Bifurcations. Indeed, I use numerical computation, visualisation, and animation to understand the behaviour of dynamical systems, in particular in parameter-dependent settings where global bifurcations of invariant manifolds occur. I like to apply these techniques both in the context of (global) bifurcation theory and applications in engineering and biology. Probably my best known research activity is the computation and visualisation of the Lorenz manifold, the global stable manifold of the origin of the famous Lorenz system (jointly with Bernd Krauskopf). Images of this manifold featured on the London Underground (2000), on the cover of Volume 17 of Nonlinearity (2004), and on the covers of various issues of journals, books, and even as the Equadiff 2003 conference logo.

My research turned into a serious hands-on activity when Bernd and I realised that the computer output of our algorithms could be read as crochet instructions. The first crocheted Lorenz manifold came into existence in May 2003, but more followed after the crochet instructions were published as part of the scientific paper in The Mathematical Intelligencer. For more information, pictures, and animations, please, visit our dedicated website Crocheting the Lorenz manifold.


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