| Description |
xvi, 984 pages, 24 unnumbered pages of plates : illustrations (some color), maps ; 24 cm |
| Contents |
Foreword / Mitchell J. Feigenbaum -- Introduction: Causality Principle, Deterministic Laws and Chaos -- 1. The Backbone of Fractals: Feedback and the Iterator -- 2. Classical Fractals and Self-Similarity -- 3. Limits and Self-Similarity -- 4. Length, Area and Dimension: Measuring Complexity and Scaling Properties -- 5. Encoding Images by Simple Transformations -- 6. The Chaos Game: How Randomness Creates Deterministic Shapes -- 7. Recursive Structures: Growing of Fractals and Plants -- 8. Pascal's Triangle: Cellular Automata and Attractors -- 9. Irregular Shapes: Randomness in Fractal Constructions -- 10. Deterministic Chaos: Sensitivity, Mixing, and Periodic Points -- 11. Order and Chaos: Period-Doubling and its Chaotic Mirror -- 12. Strange Attractors: The Locus of Chaos -- 13. Julia Sets: Fractal Basin Boundaries -- 14. The Mandelbrot Set: Ordering the Julia Sets -- A A Discussion of Fractal Image Compression / Yuval Fisher -- B Multifractal Measures / Carl J.G. Evertsz and Benoit B. Mandelbrot |
| Analysis |
Chaotic behavior in systems |
|
Fractals |
| Bibliography |
Includes bibliographical references (pages 955-969) and index |
| Notes |
Association of American Publishers PROSE Award, 1992 |
| Subject |
Chaotic behavior in systems.
|
|
Fractals.
|
| Author |
Jürgens, H. (Hartmut)
|
|
Jürgens, H. (Hartmut)
|
|
Saupe, Dietmar, 1954-
|
| LC no. |
92023277 |
| ISBN |
0387973451 |
|
0387979034 New York acid-free paper |
|
3540979034 Berlin acid-free paper |
|
9780387973456 |
|
9780387979038 New York acid-free paper |
|
9783540979036 Berlin acid-free paper |
|
