TY - BOOK AU - Peitgen,Heinz-Otto AU - Jürgens,H. AU - Saupe,Dietmar TI - Chaos and fractals: new frontiers of science SN - 0387202293 AV - QC172.5.C45 P45 2004 PY - 2004///] CY - New York PB - Springer KW - Chaotic behavior in systems KW - Fractals N1 - Includes bibliographical references (pages 839-851) and index; Introduction: Causality Principle, Deterministic Laws and Chaos; 9 --; 1; The Backbone of Fractals: Feedback and the Iterator; 15 --; 2; Classical Fractals and Self-Similarity; 61 --; 3; Limits and Self-Similarity; 129 --; 4; Length, Area and Dimension: Measuring Complexity and Scaling Properties; 173 --; 5; Encoding Images by Simple Transformations; 215 --; 6; The Chaos Game: How Randomness Creates Deterministic Shapes; 277 --; 7; Recursive Structures: Growing Fractals and Plants; 329 --; 8; Pascal's Triangle: Cellular Automata and Attractors; 377 --; 9; Irregular Shapes: Randomness in Fractal Constructions; 423 --; 10; Deterministic Chaos: Sensitivity, Mixing, and Periodic Points; 467 --; 11; Order and Chaos: Period-Doubling and Its Chaotic Mirror; 541 --; 12; Strange Attractors: The Locus of Chaos; 605 --; 13; Julia Sets: Fractal Basin Boundaries; 715 --; 14; The Mandelbrot Set: Ordering the Julia Sets; 783 ER -