Introduction to Chaotic Dynamical Systems

Name: Introduction to Chaotic Dynamical Systems
Price: 33.9 USD
Availability: InStock
ISBN: 9780813340852

ISBN-10: 0813340853

ISBN-13: 9780813340852

Edition: 2nd 2003 (Revised)

Authors: Robert L. Devaney

List price: $62.95

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Assuming only a knowledge of calculus, Devaney introduces many of the basic concepts of modern dynamical systems theory and highlights current research in several areas.

Book details

List price: $62.95
Edition: 2nd
Copyright year: 2003
Publisher: CRC Press LLC
Publication date: 2/7/2003
Binding: Paperback
Pages: 360
Size: 6.25" wide x 9.25" long x 1.25" tall
Weight: 1.122
Language: English




Preface



One-Dimensional Dynamics



Examples of dynamical systems



Preliminaries from calculus



Elementary definitions



Hyperbolicity



An example: the quadratic family



Symbolic dynamics



Topological conjugacy



Chaos



Structural stability



Sarkovskii's 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 kneading theory



Genealogy of periodic points



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



Attractors



The stable and unstable manifold theorem



Global results and hyperbolic sets



The Hopf bifurcation



The Henon map



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


Color Plates


Index