New PDF release: Bifurcation without Parameters (Lecture Notes in

By Stefan Liebscher

exact at mathematicians having a minimum of a easy familiarity with classical bifurcation thought, this monograph presents a scientific type and research of bifurcations with no parameters in dynamical structures. even if the equipment and ideas are in short brought, a previous wisdom of center-manifold discounts and normal-form calculations may also help the reader to understand the presentation. Bifurcations with out parameters happen alongside manifolds of equilibria, at issues the place general hyperbolicity of the manifold is violated. the final concept, illustrated by means of many purposes, goals at a geometrical knowing of the neighborhood dynamics close to the bifurcation points.

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