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Chaotic Maps : Dynamics, Fractals, and Rapid Fluctuations, Paperback / softback Book

Chaotic Maps : Dynamics, Fractals, and Rapid Fluctuations Paperback / softback

Part of the Synthesis Lectures on Mathematics and Statistics series


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.


  • Format: Paperback / softback
  • Pages: 241 pages
  • Publisher: Morgan & Claypool Publishers
  • Publication Date:
  • Category: Chaos theory
  • ISBN: 9781598299144

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