{"product_id":"9783031012754","title":"Chaotic Maps: Dynamics, Fractals, and Rapid Fluctuations","description":"\u003ch1\u003eChaotic Maps: Dynamics, Fractals, and Rapid Fluctuations\u003c\/h1\u003e \u003ch2\u003eChen, Goong; Huang, Yu\u003c\/h2\u003e \u003cp\u003eThis book consists of lecture notes for a semester-long introductory graduate course on dynamical systems and chaos taught by the authors at Texas A\u0026amp;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\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2011-08-18\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003e ISBN-10: 9783031012754\u003c\/p\u003e \u003cp\u003eISBN-13: 9783031012754\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-3-031-02403-0\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x191cm\u003c\/p\u003e \u003cp\u003ePages: 227\u003c\/p\u003e ","brand":"Springer","offers":[{"title":"Default Title","offer_id":44317879959692,"sku":"9783031012754","price":49.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783031012754.jpg?v=1754992761","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9783031012754","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}