An Introduction to Chaotic Dynamical Systems. (eBook, 2018) []
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An Introduction to Chaotic Dynamical Systems.

Author: Robert Devaney
Publisher: Boulder : Chapman and Hall/CRC, 2018.
Series: Studies in nonlinearity.
Edition/Format:   eBook : Document : English : 2nd edView all editions and formats

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Genre/Form: Electronic books
Additional Physical Format: Print version:
Devaney, Robert.
An Introduction to Chaotic Dynamical Systems.
Boulder : Chapman and Hall/CRC, ©2018
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Robert Devaney
ISBN: 9780429981937 0429981937
OCLC Number: 1028941596
Description: 1 online resource (360 pages)
Contents: Cover; Half Title; Title Page; Copyright Page; Dedication; 0.1 Preface; A NOTE TO THE READER:; PREFACE TO THE SECOND EDITION:; Table of Contents; Part One: One-Dimensional Dynamics; 1.1 Examples of dynamical systems; 1.2 Preliminaries from calculus; 1.3 Elementary definitions; 1.4 Hyperbolicity; 1.5 An example: the quadratic family; 1.6 Symbolic dynamics; 1.7 Topological conjugacy; 1.8 Chaos; 1.9 Structural stability; 1.10 Sarkovskii's theorem; 1.11 The Schwarzian derivative; 1.12 Bifurcation theory; 1.13 Another view of period three; 1.14 Maps of the circle; 1.15 Morse-Smale diffeomorphisms. 1.16 Homoclinic points and bifurcations1.17 The period-doubling route to chaos; 1.18 The kneading theory; 1.19 Genealogy of periodic points; Part Two: Higher Dimensional Dynamics; 2.1 Preliminaries from linear algebra and advanced calculus; 2.2 The dynamics of linear maps: two and three dimensions; 2.3 The horseshoe map; 2.4 Hyperbolic toral automorphisms; 2.5 Attractors; 2.6 The stable and unstable manifold theorem; 2.7 Global results and hyperbolic sets; 2.8 The Hopf bifurcation; 2.9 The Hénon map; Part Three: Complex Analytic Dynamics; 3.1 Preliminaries from complex analysis. 3.2 Quadratic maps revisited3.3 Normal families and exceptional points; 3.4 Periodic points; 3.5 The Julia set; 3.6 The geometry of Julia sets; 3.7 Neutral periodic points; 3.8 The Mandelbrot set; 3.9 An example: the exponential function; Color Plates; Index.
Series Title: Studies in nonlinearity.


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