Prof.dr H.W. Broer (University of Groningen Johann Bernoulli Institute for Mathematics and Computer Science): Resonance and fractal geometry

The phenomenon of resonance will be dealt with from the
viewpoint of dynamical systems depending on parameters and their
bifurcations. Resonance phenomena are associated to open subsets
in the parameter space, while their complement corresponds to
quasi-periodicity and chaos. The latter phenomena occur for
parameter values in fractal sets of positive measure. We describe
a universal phenomenon that plays an important role in modelling.
This paper gives a summary of the background theory, veined by
examples.