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

✍ Scribed by Elaydi, Saber N


Publisher
CRC Press
Year
2007
Tongue
English
Leaves
441
Edition
2nd ed
Category
Library

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✦ Synopsis


PREFACE FOREWORD The Stability of One-Dimensional Maps Introduction Maps vs. Difference Equations Maps vs. Differential Equations Linear Maps/Difference Equations Fixed (Equilibrium) Points Graphical Iteration and Stability Criteria for Stability Periodic Points and Their Stability The Period-Doubling Route to Chaos Applications Attraction and Bifurcation Introduction Basin of Attraction of Fixed Points Basin of Read more...


Abstract:
Covers global stability, bifurcation, chaos, and fractals. This book covers trace-determinant stability, bifurcation analysis, the center manifold theory, L-systems, and the Mandelbrot set as well as Read more...

✦ Table of Contents


Content: Front cover
Contents
Preface
Author Biography
LIST OF SYMBOLS
Foreword by Lord Robert M. May
Chapter 1. The Stability of One-Dimensional Maps
Chapter 2. Attraction and Bifurcation
Chapter 3. Chaos in One Dimension
Chapter 4. Stability of Two-Dimensional Maps
Chapter 5. Bifurcation and Chaos in Two Dimensions
Chapter 6. Fractals
Chapter 7. The Julia and Mandelbrot Sets
Answers to Selected Problems
Index
Back cover


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