Chaotic Maps : Dynamics, Fractals, and Rapid Fluctuations Paperback / softback
by Goong Chen, Yu Huang
Part of the Synthesis Lectures on Mathematics & Statistics series
Paperback / softback
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
Information
-
Out of stock
- Format:Paperback / softback
- Pages:227 pages, XIII, 227 p.
- Publisher:Springer International Publishing AG
- Publication Date:18/08/2011
- Category:
- ISBN:9783031012754
Other Formats
- Paperback / softback from £60.95
- PDF from £38.24
Information
-
Out of stock
- Format:Paperback / softback
- Pages:227 pages, XIII, 227 p.
- Publisher:Springer International Publishing AG
- Publication Date:18/08/2011
- Category:
- ISBN:9783031012754