An Introduction To Chaotic Dynamical Systems, Second Edition

An Introduction To Chaotic Dynamical Systems, Second Edition

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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 stu
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Product details

  • Hardback | 360 pages
  • 171.45 x 247.65 x 25.4mm | 657.71g
  • Westview Press Inc
  • United States
  • English
  • Subsequent
  • 0201130467
  • 9780201130461

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
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