TY - BOOK AU - Peitgen,Heinz-Otto AU - Jürgens,H. AU - Saupe,Dietmar TI - Chaos and fractals: new frontiers of science SN - 0387979034 (hbk.) U1 - 514.74 PY - 1992/// CY - New York PB - Springer-Verlag KW - Chaotic behavior in systems KW - Fractals N1 - Includes bibliographical references and index; Preface. - Authors. - 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. - Appendix A. Discussion of Fractal Image Compression / Yuval Fisher. - Appendix B. Multifractal Measures / Carl J. G. Evertsz, Benoit B. Mandelbrot. - Bibliography. - Index ER -