Read e-book online Bifurcation without Parameters (Lecture Notes in PDF

By Stefan Liebscher

special at mathematicians having at the least a simple familiarity with classical bifurcation conception, this monograph presents a scientific category and research of bifurcations with out parameters in dynamical structures. even if the tools and ideas are in short brought, a previous wisdom of center-manifold mark downs and normal-form calculations can assist the reader to understand the presentation. Bifurcations with out parameters happen alongside manifolds of equilibria, at issues the place basic hyperbolicity of the manifold is violated. the final thought, illustrated by means of many purposes, goals at a geometrical realizing of the neighborhood dynamics close to the bifurcation points.

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Bifurcation without Parameters (Lecture Notes in Mathematics) by Stefan Liebscher

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