| 書(shū)目名稱 | Chaotic Maps | | 副標(biāo)題 | Dynamics, Fractals, | | 編輯 | Goong Chen,Yu Huang | | 視頻video | http://file.papertrans.cn/224/223928/223928.mp4 | | 叢書(shū)名稱 | Synthesis Lectures on Mathematics & Statistics | | 圖書(shū)封面 |  | | 描述 | 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 Fluctuation | | 出版日期 | Book 2011 | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-031-02403-0 | | isbn_softcover | 978-3-031-01275-4 | | isbn_ebook | 978-3-031-02403-0Series ISSN 1938-1743 Series E-ISSN 1938-1751 | | issn_series | 1938-1743 | | copyright | Springer Nature Switzerland AG 2011 |
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