Identifiant pérenne de la notice : 208011609
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Note publique d'information : 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