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Symmetries in dynamical systems, "KAM theory and other perturbation
theories," "Infinite dimensional systems," "Time series analysis"
and "Numerical continuation and bifurcation analysis" were the main
topics of the December 1995 Dynamical Systems Conference held in
Groningen in honour of Johann Bernoulli. They now form the core of
this work which seeks to present the state of the art in various
branches of the theory of dynamical systems. A number of articles
have a survey character whereas others deal with recent results in
current research. It contains interesting material for all members
of the dynamical systems community, ranging from geometric and
analytic aspects from a mathematical point of view to applications
in various sciences.
In this volume, the authors present a collection of surveys on
various aspects of the theory of bifurcations of differentiable
dynamical systems and related topics. By selecting these subjects,
they focus on those developments from which research will be active
in the coming years. The surveys are intended to educate the reader
on the recent literature on the following subjects: transversality
and generic properties like the various forms of the so-called
Kupka-Smale theorem, the Closing Lemma and generic local
bifurcations of functions (so-called catastrophe theory) and
generic local bifurcations in 1-parameter families of dynamical
systems, and notions of structural stability and moduli.
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