Targeted at mathematicians having at least a basic familiarity with
classical bifurcation theory, this monograph provides a systematic
classification and analysis of bifurcations without parameters in
dynamical systems. Although the methods and concepts are briefly
introduced, a prior knowledge of center-manifold reductions and
normal-form calculations will help the reader to appreciate the
presentation. Bifurcations without parameters occur along manifolds
of equilibria, at points where normal hyperbolicity of the manifold
is violated. The general theory, illustrated by many applications,
aims at a geometric understanding of the local dynamics near the
bifurcation points.
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