1992

Chaos and Fractals

New Frontiers of Science

Authors:

ISBN: 978-1-4757-4742-3 (Print) 978-1-4757-4740-9 (Online)

Table of contents (15 chapters)

  1. Front Matter

    Pages i-7

  2. No Access

    Book Chapter

    Pages 9-14

    Introduction

  3. No Access

    Book Chapter

    Pages 15-62

    The Backbone of Fractals: Feedback and the Iterator

  4. No Access

    Book Chapter

    Pages 63-134

    Classical Fractals and Self-Similarity

  5. No Access

    Book Chapter

    Pages 135-181

    Limits and Self-Similarity

  6. No Access

    Book Chapter

    Pages 183-228

    Length, Area and Dimension: Measuring Complexity and Scaling Properties

  7. No Access

    Book Chapter

    Pages 229-296

    Encoding Images by Simple Transformations

  8. No Access

    Book Chapter

    Pages 297-352

    The Chaos Game: How Randomness Creates Deterministic Shapes

  9. No Access

    Book Chapter

    Pages 353-405

    Recursive Structures: Growing of Fractals and Plants

  10. No Access

    Book Chapter

    Pages 407-456

    Pascal’s Triangle: Cellular Automata and Attractors

  11. No Access

    Book Chapter

    Pages 457-505

    Irregular Shapes: Randomness in Fractal Constructions

  12. No Access

    Book Chapter

    Pages 507-583

    Deterministic Chaos: Sensitivity, Mixing, and Periodic Points

  13. No Access

    Book Chapter

    Pages 585-653

    Order and Chaos: Period-Doubling and its Chaotic Mirror

  14. No Access

    Book Chapter

    Pages 655-768

    Strange Attractors: The Locus of Chaos

  15. No Access

    Book Chapter

    Pages 769-840

    Julia Sets: Fractal Basin Boundaries

  16. No Access

    Book Chapter

    Pages 841-901

    The Mandelbrot Set: Ordering the Julia Sets

  17. Back Matter

    Pages 903-984