Chaos and fractals : new frontiers of science
Heinz-Otto Peitgen (Author), H. Jürgens (Author), Dietmar Saupe (Author)
The fourteen chapters of this book cover the central ideas and concepts of chaos and fractals as well as many related topics including: the Mandelbrot set, Julia sets, cellular automata, L-systems, percolation and strange attractors. This new edition has been thoroughly revised throughout. The appendices of the original edition were taken out since more recent publications cover this material in more depth. Instead of the focused computer programs in BASIC, the authors provide 10 interactive JAVA-applets for this second edition
1 online resource (xiii, 864 pages) : illustrations (some color)
9780387218236, 9780387202297, 0387218238, 0387202293
57375880
Introduction: Causality Principle, Deterministic Laws and Chaos
The Backbone of Fractals: Feedback and the Iterator
Classical Fractals and Self-Similarity
Limits and Self-Similarity
Length, Area, and Dimension: Measuring Complexity and Scaling Properties
Encoding Images by Simple Transformations
The Chaos Game: How Randomness Creates Deterministic Shapes
Recursive Structures: Growing Fractals and Plants
Pascal's Triangle: Cellular Automata and Attractors
Irregular Shapes: Randomness in Fractal Constructions
Deterministic Chaos: Sensitivity, Mixing, and Periodic Points
Order and Chaos: Period-Doubling and Its Chaotic Mirror
Strange Attractors: The Locus of Chaos
Julia Sets: Fractal Basin Boundaries
The Mandelbrot Set: Ordering the Julia Set
English