The theory of slow-fast systems is a challenging field both from the
viewpoint of theory and applications. Advances made over the last
decade led to remarkable new insights and we therefore decided that
it is worthwhile to gather snapshots of results and achievements in
this field through invited experts. We believe that this volume of
DCDS-S contains a varied and interesting overview of different
aspects of slow-fast systems with emphasis on 'bifurcation delay'
phenomena. Unfortunately, as could be expected, not all invitees
were able to sent a contribution due to their loaded agenda, or the
strict deadlines we had to impose.
Slow-fast systems deal with problems and models in which different
(time- or space-) scales play an important role. From a dynamical
systems point of view we can think of studying dynamics expressed by
differential equations in the presence of curves, surfaces or more
general varieties of singularities. Such sets of singularities are
said to be critical. Perturbing such equations by adding an
$\varepsilon$-small movement that destroys most of the singularities
can create complex dynamics. These perturbation problems are also
called singular perturbations and can often be presented as
differential equations in which the highest order derivatives are
multiplied by a parameter $\varepsilon$, reducing the order of the
equation when $\varepsilon\to 0$.
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