Applied Chaos Theory: A Paradigm for ComplexityThis 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.
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Contents
1 Living with Complexity | 1 |
The Diagnostics and Control of Chaos | 11 |
The Anatomy of Systems and Structures | 41 |
Copyright | |
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algorithm applications behavior bifurcation diagram Boltzmann Cambridge Cantor set cell chaos theory chapter Clausius complex systems concept denotes depends deterministic differential discrete logistic equation discuss dissipative systems dynamical systems energy equilibrium ergodicity example exponential Figure flow follows fractal dimensions fractal geometry function growth hence increase initial conditions irreversible isolated systems iterative John Wiley Julia set Koch snowflake Kolmogorov entropy limit cycle linear logistic curve Lyapunov exponent macroscopic Mandelbrot set mathematical measure molecules namely noise nonequilibrium Nonlinear Dynamics occur oscillator parameter particles pendulum phase space phenomena physics Poincaré points population predator-prey Press Prigogine problems random Reynolds number scale Schaffer self-organizing Shannon shown in Fig Sierpinsky triangle software program Specifically stable statistical entropy strange attractors structure technologies temperature term thermodynamics trajectories uncertainty Univ University unstable variable volume W. H. Freeman Wiley & Sons xn+1 York