{"product_id":"chaotic-maps-dynamics-fractals-and-rapid-fluctuations-9783031012754","title":"Chaotic Maps: Dynamics, Fractals, and Rapid Fluctuations","description":"\u003cp\u003e • Author(s): Goong Chen\u003cbr\u003e • Publisher: Springer\u003cbr\u003e • Publisher Imprint: Springer\u003cbr\u003e • BISAC: Probability \u0026amp; Statistics - General\u003c\/p\u003e\u003cp\u003e\u003c\/p\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","brand":"Springer","offers":[{"title":"Paperback","offer_id":45282440806551,"sku":"9783031012754","price":3514.0,"currency_code":"INR","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9783031012754.webp?v=1769302158","url":"https:\/\/atlanticbooks.com\/products\/chaotic-maps-dynamics-fractals-and-rapid-fluctuations-9783031012754","provider":"Atlantic Books","version":"1.0","type":"link"}