Chaotic maps : dynamics, fractals, and rapid fluctuations /
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| Other Authors: | |
| Format: | eBook |
| Language: | English |
| Published: |
[San Rafael, Calif.] :
Morgan & Claypool Publishers,
[2011]
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| Series: | Synthesis lectures on mathematics and statistics ;
#11. |
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| Online Access: | Connect to the full text of this electronic book Connect to the full text of this electronic book |
| Abstract: | 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. |
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| Item Description: | Electronic resource. |
| Physical Description: | 1 online resource (xiii, 227 pages) : illustrations |
| Bibliography: | Includes bibliographical references (pages 217-222) and index. |
| ISBN: | 9781598299151 (electronic bk.) 1598299158 (electronic bk.) |