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Discrete Chaos: With Applications in Science and Engineering, Second Edition
Author

Saber N. Elaydi
Book information

Publisher: Chapman & Hall/CRC (Boca Raton, FL)
Copyright year: 2008
ISBN: 1584885920
Medium: Hardcover
Includes: CD-ROM
Pages: 419
Out of print?: N
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Contents

The Stability of One-Dimensional Maps | Attraction and Bifurcation | Chaos in One Dimension | Stability of Two-Dimensional Maps | Bifurcation and Chaos in Two Dimensions | Fractals | The Julia and Mandelbrot Sets
Description

This book now includes many recent results on global stability, bifurcation, chaos, and fractals. The first five chapters provide the most comprehensive material on discrete dynamical systems, including trace-determinant stability, bifurcation analysis, and the detailed analysis of the center manifold theory. This edition also covers L-systems and the periodic structure of the bulbs in the Mandelbrot set as well as new applications in biology, chemistry, and physics.

Incorporating numerous new topics and technology not found in similar texts, this book presents a thorough, up-to-date treatment of the theory and applications of discrete dynamical systems. Written using Mathematica 5.2, the code for the figures and examples in the book is available for download online and is largely compatible with Mathematica 6.
Subjects

*Engineering
*Mathematics > Calculus and Analysis > Complex Analysis
*Mathematics > Calculus and Analysis > Differential Equations
*Mathematics > Calculus and Analysis > Dynamical Systems
Keywords

discrete chaos, bifurcation, chaos, difference equation, fractal, linear maps, Julia set, Liapunov, Mandelbrot, Newton's method, point, periodic point, fixed point, basin of attraction, periodic cycle, period, stability, theorems, one-dimensional map, two-dimensional map, Henon map
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