Download PDF by Stefan Liebscher: Bifurcation without Parameters (Lecture Notes in

By Stefan Liebscher

ISBN-10: 3319107763

ISBN-13: 9783319107769

detailed at mathematicians having at the very least a easy familiarity with classical bifurcation conception, this monograph presents a scientific type and research of bifurcations with out parameters in dynamical platforms. even though the tools and ideas are in short brought, a previous wisdom of center-manifold savings and normal-form calculations might help the reader to understand the presentation. Bifurcations with no parameters happen alongside manifolds of equilibria, at issues the place basic hyperbolicity of the manifold is violated. the overall concept, illustrated via many functions, goals at a geometrical knowing 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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