An Introduction To Chaotic Dynamical Systems by Robert Devaney Hardcover Book

Description: An Introduction To Chaotic Dynamical Systems by Robert Devaney Robert L. Devaney introduces many of the basic concepts of modern dynamical systems theory and leads the reader to the point of current research in several areas. FORMAT Hardcover CONDITION Brand New Publisher Description The study of nonlinear dynamical systems has exploded in the past 25 years, and Robert L. Devaney has made these advanced research developments accessible to undergraduate and graduate mathematics students as well as researchers in other disciplines with the introduction of this widely praised book. In this second edition of his best-selling text, Devaney includes new material on the orbit diagram fro maps of the interval and the Mandelbrot set, as well as striking color photos illustrating both Julia and Mandelbrot sets. This book assumes no prior acquaintance with advanced mathematical topics such as measure theory, topology, and differential geometry. Assuming only a knowledge of calculus, Devaney introduces many of the basic concepts of modern dynamical systems theory and leads the reader to the point of current research in several areas. Author Biography Robert Devaney Table of Contents Part One: One-Dimensional Dynamics * Examples of Dynamical Systems * Preliminaries from Calculus * Elementary Definitions * Hyperbolicity * An example: the quadratic family * An Example: the Quadratic Family * Symbolic Dynamics * Topological Conjugacy * Chaos * Structural Stability * Sarlovskiis Theorem * The Schwarzian Derivative * Bifurcation Theory * Another View of Period Three * Maps of the Circle * Morse-Smale Diffeomorphisms * Homoclinic Points and Bifurcations * The Period-Doubling Route to Chaos * The Kneeding Theory * Geneaology of Periodic Units Part Two: Higher Dimensional Dynamics * Preliminaries from Linear Algebra and Advanced Calculus * The Dynamics of Linear Maps: Two and Three Dimensions * The Horseshoe Map * Hyperbolic Toral Automorphisms * Hyperbolicm Toral Automorphisms * Attractors * The Stable and Unstable Manifold Theorem * Global Results and Hyperbolic Sets * The Hopf Bifurcation * The Hnon Map Part Three: Complex Analytic Dynamics * Preliminaries from Complex Analysis * Quadratic Maps Revisited * Normal Families and Exceptional Points * Periodic Points * The Julia Set * The Geometry of Julia Sets * Neutral Periodic Points * The Mandelbrot Set * An Example: the Exponential Function Details ISBN0367091976 Author Robert Devaney Pages 360 Year 2019 ISBN-10 0367091976 ISBN-13 9780367091972 Format Hardcover Edition 2nd Imprint CRC Press Place of Publication London Country of Publication United Kingdom DEWEY 515.352 Publisher Taylor & Francis Ltd AU Release Date 2019-06-13 NZ Release Date 2019-06-13 Edition Description 2nd edition Publication Date 2019-06-13 Alternative 9780813340852 Audience Tertiary & Higher Education UK Release Date 2019-06-13 Replaced by 9781032150468 We've got this At The Nile, if you're looking for it, we've got it. With fast shipping, low prices, friendly service and well over a million items - you're bound to find what you want, at a price you'll love! TheNile_Item_ID:135078924;

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