Chaos and Fractals : New Frontiers of Science.
Peitgen, Heinz-Otto.
Chaos and Fractals : New Frontiers of Science. - 1st ed. - 1 online resource (1013 pages)
Chaos and Fractals New Frontiers of Science Volume I -- Copyright -- Preface -- Authors -- Contents -- Foreword -- lntroduction Causality Principle, Deterministic Laws and Chaos -- Chapter 1 The Backbone of Fractals: Feedback and the lterator -- Chapter 2 Classical Fractals and Self-Similarity -- Chapter 3 Limits and Self-Similarity -- Chapter 4 Length, Area and Dimension: Measuring Complexity and Scaling Properties -- Chapter 5 Encoding Images by Simple Transformations -- Chapter 6 The Chaos Game: How Randomness Creates Deterministic Shapes -- Chapter 7 Recursive Structures: Growing of Fractals and Plants -- Chapter 8 Pascal's Triangle: Cellular Automata and Attractors -- Chapter 9 Irregular Shapes: Randomness in Fractal Constructions -- Chapter 10 Deterministic Chaos: Sensitivity, Mixing, and Periodic Points -- Chapter 11 Order and Chaos: Period-Doubling and its Chaotic Mirror -- Chapter 12 Strange Attractors: The Locus of Chaos -- Chapter 13 Julia Sets: Fractal Basin Boundaries -- Chapter 14 The Mandelbrot Set: Ordering the Julia Sets -- Appendix A A Discussion of Fractal Image Compression1 -- Appendix B Multifractal Measures -- Bibliography -- Index.
9781475747409
Chaotic behavior in systems.
Electronic books.
QA1-939
003/.857
Chaos and Fractals : New Frontiers of Science. - 1st ed. - 1 online resource (1013 pages)
Chaos and Fractals New Frontiers of Science Volume I -- Copyright -- Preface -- Authors -- Contents -- Foreword -- lntroduction Causality Principle, Deterministic Laws and Chaos -- Chapter 1 The Backbone of Fractals: Feedback and the lterator -- Chapter 2 Classical Fractals and Self-Similarity -- Chapter 3 Limits and Self-Similarity -- Chapter 4 Length, Area and Dimension: Measuring Complexity and Scaling Properties -- Chapter 5 Encoding Images by Simple Transformations -- Chapter 6 The Chaos Game: How Randomness Creates Deterministic Shapes -- Chapter 7 Recursive Structures: Growing of Fractals and Plants -- Chapter 8 Pascal's Triangle: Cellular Automata and Attractors -- Chapter 9 Irregular Shapes: Randomness in Fractal Constructions -- Chapter 10 Deterministic Chaos: Sensitivity, Mixing, and Periodic Points -- Chapter 11 Order and Chaos: Period-Doubling and its Chaotic Mirror -- Chapter 12 Strange Attractors: The Locus of Chaos -- Chapter 13 Julia Sets: Fractal Basin Boundaries -- Chapter 14 The Mandelbrot Set: Ordering the Julia Sets -- Appendix A A Discussion of Fractal Image Compression1 -- Appendix B Multifractal Measures -- Bibliography -- Index.
9781475747409
Chaotic behavior in systems.
Electronic books.
QA1-939
003/.857