An Introduction To Chaotic Dynamical Systems
Autor Robert Devaneyen Limba Engleză Hardback – 13 iun 2019
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Specificații
ISBN-13: 9780367091972
ISBN-10: 0367091976
Pagini: 360
Dimensiuni: 152 x 229 x 21 mm
Greutate: 0.64 kg
Ediția:2nd edition
Editura: CRC Press
Colecția CRC Press
ISBN-10: 0367091976
Pagini: 360
Dimensiuni: 152 x 229 x 21 mm
Greutate: 0.64 kg
Ediția:2nd edition
Editura: CRC Press
Colecția CRC Press
Cuprins
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
Descriere
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.