SMRI Seminar: Rink -- What is the parametrization method in dynamical systems?

SMRI Seminar: 
’What is the parametrization method in dynamical systems?’ 
Bob Rink (Vrije Universiteit Amsterdam) 

Thursday 11th May, 1:00-2:00pm (AEST) 
Quad S249 & Online 
(register/join - https://uni-sydney.zoom.us/j/86505767544) 

Abstract: The parametrization method is a tool to compute invariant manifolds in
dynamical systems, such as periodic orbits, (un-)stable manifolds, slow manifolds and
invariant tori.  The idea behind the method is simple: it works by (algorithmically)
finding an embedding of the invariant manifold together with a representation of its
dynamics in a coordinate chart.  De La Llave et al realized that the method can nicely
be combined with ideas from rigorous numerics, to provide computer-assisted proofs for
the existence of invariant manifolds.  Others, including myself, have used the method to
compute high -precision approximations of the dynamics on the invariant manifolds.  I
will discuss both approaches, starting with the basics and finishing with an unpublished
result on high-order phase reduction.  

Speaker Bio: Bob Rink is a professor of mathematical analysis at the Vrij Universiteit
Amsterdam, The Netherlands.  He obtained his PhD in 2003 from Utrecht University, after
which he was an EPSRC postdoctoral fellow at Imperial College London.  He came to the
Vrije Universiteit Amsterdam in 2007, where he became full professor in 2016.  His
research is in various directions of dynamical systems, with a focus on network dynamics
and bifurcation theory.  

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Please join us after the seminar for SMRI afternoon tea, 2:00-2:45pm every Thursday on
the SMRI Terrace (accessed through A14-04-L4.36) 

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Other upcoming SMRI events can be found here:
https://mathematical-research-institute.sydney.edu.au/news-events/ 

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