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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Chaotic Maps, Fractals, and Rapid Fluctuations: With Applications to Chaotic Vibration of the Wave Equation

Chaotic Maps, Fractals, and Rapid Fluctuations: With Applications to Chaotic Vibration of the Wave Equation

Li, Liangliang
Huang, Yu
Chen, Goong

Paperback

Series: Synthesis Lectures on Mathematics & Statistics

General MathematicsGeneral Science

ISBN10: 3031848276
ISBN13: 9783031848278
Publisher: Springer
Published: Jul 16 2025
Pages: 271
Weight: 1.06
Height: 0.62 Width: 6.63 Depth: 9.50
Language: English
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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