Bifurcation without Parameters (Lecture Notes in - download pdf or read online

By Stefan Liebscher

particular at mathematicians having a minimum of a simple familiarity with classical bifurcation conception, this monograph presents a scientific type and research of bifurcations with no parameters in dynamical platforms. even though the equipment and ideas are in brief brought, a previous wisdom of center-manifold discounts and normal-form calculations can help the reader to understand the presentation. Bifurcations with no parameters ensue alongside manifolds of equilibria, at issues the place general hyperbolicity of the manifold is violated. the final idea, illustrated through many functions, 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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