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Applied Chaos Theory
This book differs from others on Chaos Theory in that it focuses on its applications for understanding complex phenomena. The emphasis is on the interpretation of the equations rather than on the details of the mathematical derivations. The presentation is interdisciplinary in its approach to real-life problems: it integrates nonlinear dynamics, nonequilibrium thermodynamics, information theory, and fractal geometry. An effort has been made to present the material ina reader-friendly manner, and examples are chosen from real life situations. Recent findings on the diagnostics and control of chaos are presented, and suggestions are made for setting up a simple laboratory. Included is a list of topics for further discussion that may serve not only for personal practice or homework, but also as themes for theses, dissertations, and research proposals.
Living with Complexity. Meta-Quantification of Complexity. The Anatomy of Systems and Structures. Attractors. Rapid Growth. The Logistic Curve. The Discrete Logistic Equation. The Different Personalities of Entropy. Dimensionsand Scaling. Gallery of Monsters. The Diagnostics and Control of Chaos. Discussion Topics. Chapter Notes and References. Index of Names. Subject Index.