He published this observation in 1963 in "Deterministic Nonperiodic Flow" (p. Graphs of such a system (e.g., the behavior of a waterwheel) produced the Lorenz Attractor-a bounded but never-repeating pattern. He also found repetition which was never quite identical and studied non-linear systems that never attain a steady-state. "Where chaos begins, classical science stops." After relativity and quantum mechanics, chaos has become the century's third great revolution in physical sciences.Įdward Lorenz (1960) creates a simple weather model in which small changes in starting conditions led to a marked ("catastrophic") changes in outcome (called "sensitive dependence on initial conditions")-i.e., the "butterfly effect" (i.e., "the notion that a butterfly stirring the air today in Peking can transform storm systems next month in New York".) Thus long-range prediction of imprecisely measured systems becomes an impossibility. Underlying mathematics and is ultimately more satisfying. The more recent textbook Chaos and Fractals: New Frontiers of Science by by Peitgen H, Jurgens H, and Saupe D. Overall impression: A good early popularization of an otherwise widely scattered and Quotations are for the most part taken from that work, as Summary by Michael McGoodwin, prepared 1988,įeigenbaum Bifurcation (fractal image created by MCM)Īcknowledgement: This work has been summarized using the 1987Įdition-page numbers reference that edition. James Gleick: Chaos: Making A New Science
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