"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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