{"product_id":"chaotic-maps-book-goong-chen-9781598299144","title":"Chaotic Maps","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\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","brand":"WoB","offers":[{"title":"GB \/ VERY_GOOD \/ INTERNAL","offer_id":49655509451025,"sku":"GOR012700790","price":23.9,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/159829914X.jpg?v=1751088126","url":"https:\/\/www.worldofbooks.com\/en-gb\/products\/chaotic-maps-book-goong-chen-9781598299144","provider":"World of Books ","version":"1.0","type":"link"}