Chaos and Fractals: New Frontiers of Science

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The fourteen chapters of this book cover the central ideas and concepts of chaos and fractals as well as many related topics including: the Mandelbrot set, Julia sets, cellular automata, L-systems, percolation and strange attractors. This new edition has been thoroughly revised throughout. The appen...

תיאור מלא

מידע ביבליוגרפי
מחבר ראשי: Heinz-Otto Peitgen
מחברים אחרים: H Jürgens; Dietmar Saupe
פורמט: Printed Book
יצא לאור: New York Springer-Verlag 2004
מהדורה:2nd ed.
נושאים:
Fractals. Chaotic behavior in systems. Fractales.
תוכן הענינים:
  • 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.

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