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.
