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    Elements of Differentiable Dynamics and Bifurcation Theory
    Elements of Differentiable Dynamics and Bifurcation Theory
    Elements of Differentiable Dynamics and Bifurcation Theory
    Ebook168 pages4 hours

    Elements of Differentiable Dynamics and Bifurcation Theory

    By David Ruelle

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    About this ebook

    Elements of Differentiable Dynamics and Bifurcation Theory provides an introduction to differentiable dynamics, with emphasis on bifurcation theory and hyperbolicity that is essential for the understanding of complicated time evolutions occurring in nature. This book discusses the differentiable dynamics, vector fields, fixed points and periodic orbits, and stable and unstable manifolds. The bifurcations of fixed points of a map and periodic orbits, case of semiflows, and saddle-node and Hopf bifurcation are also elaborated. This text likewise covers the persistence of normally hyperbolic manifolds, hyperbolic sets, homoclinic and heteroclinic intersections, and global bifurcations. This publication is suitable for mathematicians and mathematically inclined students of the natural sciences.
    LanguageEnglish
    PublisherAcademic Press
    Release dateMay 10, 2014
    ISBN9781483272184
    Elements of Differentiable Dynamics and Bifurcation Theory

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