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Wir sind gerne für Sie daThis 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 Fluctuations of Chaotic Maps on RN / Infinite-dimensional Systems Induced by Continuous-Time Difference Equations
Produkteigenschaften
- Artikelnummer: 9783031012754
- Medium: Buch
- ISBN: 978-3-031-01275-4
- Verlag: Springer
- Erscheinungstermin: 18.08.2011
- Sprache(n): Englisch
- Auflage: Erscheinungsjahr 2011
- Serie: Synthesis Lectures on Mathematics & Statistics
- Produktform: Kartoniert
- Gewicht: 467 g
- Seiten: 227
- Format (B x H): 191 x 235 mm
- Ausgabetyp: Kein, Unbekannt
- Nachauflage: 978-3-031-84827-8