Chaotic Maps, Fractals, and Rapid Fluctuations (eBook, PDF)

Chaotic Maps, Fractals, and Rapid Fluctuations (eBook, PDF)

With Applications to Chaotic Vibration of the Wave Equation

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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, th...

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