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.
General
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