: Easton, Robert W.
: 1280442123 9786610442126 1423735234 0195359046 1601299494 9781423735236 9781601299499 9780195085457 0195085450 0195085450
: New York ; Oxford, [England] : Oxford University Press,
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This book looks at dynamics as an iteration process where the output of a function is fed back as an input to determine the evolution of an initial state over time. The theory examines errors which arise from round-off in numerical simulations, from the inexactness of mathematical models used to describe physical processes, and from the effects of external controls. The author provides an introduction accessible to beginning graduate students and emphasizing geometric aspects of the theory. Conley's ideas about rough orbits and chain-recurrence play a central role in the treatment. The book wi