Chaotic Maps, Fractals, and Rapid Fluctuations:

Chaotic Maps, Fractals, and Rapid Fluctuations: With Applications to Chaotic Vibration of the Wave Equation by Liangliang Li, Yu Huang, Goong Chen

• Chaotic Maps, Fractals, and Rapid Fluctuations: With Applications to Chaotic Vibration of the Wave Equation
• Liangliang Li, Yu Huang, Goong Chen
• Page: 0
• Format: pdf, ePub, mobi, fb2
• ISBN: 9783031848285
• Publisher: Springer-Verlag New York, LLC

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This book was developed from lecture notes for an introductory graduate course and provides an essential introduction to chaotic maps in finite-dimensional spaces. Furthermore, the authors show how to apply this theory to infinite-dimensional systems corresponding to partial differential equations to study chaotic vibration of the wave equation subject to various types of nonlinear boundary conditions.  The book provides background on chaos as a highly interesting nonlinear phenomenon and explains why it is one of the  most important scientific findings of the past three decades.  In addition, the book covers key topics including one-dimensional dynamical systems, bifurcations, general topological, symbolic dynamical systems, and fractals. The authors also show a class of infinite-dimensional nonlinear dynamical systems, which are reducible to interval maps, plus rapid fluctuations of chaotic maps. This second edition includes updated and expanded chapters as well as additional problems.

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