Chaos and Fractals New Frontiers of Science /

• Main Authors: Peitgen, Heinz-Otto (Author), Jürgens, Hartmut (Author), Saupe, Dietmar (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York : Imprint: Springer, 2004.
• Edition: Second Edition.
• Subjects: Mathematics.; Computer science > Mathematics.; Computer graphics.; Dynamics.; Ergodic theory.; Physics.; Dynamical Systems and Ergodic Theory.; Mathematics of Computing.; Computer Graphics.; Mathematics, general.; Theoretical, Mathematical and Computational Physics.

Almost 12 years have passed by since we wrote Chaos and Fractals. At the time we were hoping that our approach of writing a book which would be both accessible without mathematical sophistication and portray these exiting new fields in an authentic manner would find an audience. Now we know it did....

Table of Contents:

• Causality Principle, Deterministic Laws and Chaos
• The Backbone of Fractals: Feedback and the Iterator
• Classical Fractals and Self-Similarity
• Lim 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 Sets.