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Chaotic Maps: Dynamics, Fractals and Rapid Fluctuations
Contributor(s): Chen, Goong (Author)

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 ISBN: 159829914X     ISBN-13: 9781598299144
Publisher: Morgan & Claypool
OUR PRICE: $57.00  

Binding Type: Paperback
Published: October 2011
* Out of Print *

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Additional Information
BISAC Categories:
- Mathematics | Applied
- Mathematics | Differential Equations - General
- Mathematics | Probability & Statistics - General
Dewey: 515.39
Series: Synthesis Lectures on Mathematics and Statistics
Physical Information: 0.51" H x 7.5" W x 9.25" L (0.93 lbs) 227 pages
Features: Maps
 
Descriptions, Reviews, Etc.
Publisher Description:
This book consists of lecture notes for a semester-long introductory graduate course on dynamical systems and chaos taught by the authors at Texas A&M University and Zhongshan University, China. There are ten chapters in the main body of the book, covering an elementary theory of chaotic maps in finite-dimensional spaces. The topics include one-dimensional dynamical systems (interval maps), bifurcations, general topological, symbolic dynamical systems, fractals and a class of infinite-dimensional dynamical systems which are induced by interval maps, plus rapid fluctuations of chaotic maps as a new viewpoint developed by the authors in recent years. Two appendices are also provided in order to ease the transitions for the readership from discrete-time dynamical systems to continuous-time dynamical systems, governed by ordinary and partial differential equations. Table of Contents: Simple Interval Maps and Their Iterations / Total Variations of Iterates of Maps / Ordering among Periods: The Sharkovski Theorem / Bifurcation Theorems for Maps / Homoclinicity. Lyapunoff Exponents / Symbolic Dynamics, Conjugacy and Shift Invariant Sets / The Smale Horseshoe / Fractals / Rapid Fluctuations of Chaotic Maps on RN / Infinite-dimensional Systems Induced by Continuous-Time Difference Equations
 
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