Book 2004

Chaos and Fractals

New Frontiers of Science

Authors:

ISBN: 978-1-4684-9396-2 (Print) 978-0-387-21823-6 (Online)

Table of contents (15 chapters)

  1. Front Matter

    Pages i-7

  2. No Access

    Chapter

    Pages 9-14

    Introduction: Causality Principle, Deterministic Laws and Chaos

  3. No Access

    Chapter

    Pages 15-59

    The Backbone of Fractals: Feedback and the Iterator

  4. No Access

    Chapter

    Pages 61-128

    Classical Fractals and Self-Similarity

  5. No Access

    Chapter

    Pages 129-172

    Lim and Self-Similarity

  6. No Access

    Chapter

    Pages 173-214

    Length, Area and Dimension: Measuring Complexity and Scaling Properties

  7. No Access

    Chapter

    Pages 215-276

    Encoding Images by Simple Transformations

  8. No Access

    Chapter

    Pages 277-327

    The Chaos Game: How Randomness Creates Deterministic Shapes

  9. No Access

    Chapter

    Pages 329-376

    Recursive Structures: Growing Fractals and Plants

  10. No Access

    Chapter

    Pages 377-422

    Pascal’s Triangle: Cellular Automata and Attractors

  11. No Access

    Chapter

    Pages 423-466

    Irregular Shapes: Randomness in Fractal Constructions

  12. No Access

    Chapter

    Pages 467-540

    Deterministic Chaos: Sensitivity, Mixing, and Periodic Points

  13. No Access

    Chapter

    Pages 541-604

    Order and Chaos: Period-Doubling and Its Chaotic Mirror

  14. No Access

    Chapter

    Pages 605-714

    Strange Attractors: The Locus of Chaos

  15. No Access

    Chapter

    Pages 715-781

    Julia Sets: Fractal Basin Boundaries

  16. No Access

    Chapter

    Pages 783-837

    The Mandelbrot Set: Ordering the Julia Sets

  17. Back Matter

    Pages 839-864