Introduction to Chaotic Dynamical Systems
Edition: 2nd 2003 (Revised)
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Description: 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.
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All the information you need in one place! Each Study Brief is a summary of one specific subject; facts, figures, and explanations to help you learn faster.
List price: $58.00
Copyright year: 2003
Publisher: Westview Press
Publication date: 2/7/2003
Size: 6.25" wide x 9.25" long x 1.25" tall
|Examples of dynamical systems|
|Preliminaries from calculus|
|An example: the quadratic family|
|The Schwarzian derivative|
|Another view of period three|
|Maps of the circle|
|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|
|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|
|The Julia set|
|The geometry of Julia sets|
|Neutral periodic points|
|The Mandelbrot set|
|An example: the exponential function|