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Long-range predictability of high-dimensional chaotic dynamics

Posted on:1993-08-19Degree:Ph.DType:Thesis
University:University of Illinois at Urbana-ChampaignCandidate:Meyer, Thomas PatrickFull Text:PDF
GTID:2478390014497581Subject:Physics
Abstract/Summary:
This thesis concerns the long range prediction of high dimensional chaotic systems. To this end, I investigate the important relationship between predictability and non-uniformity of information loss throughout the state space of a chaotic system. I introduce a genetic algorithm to build predictive models by exploiting this nonuniformity. The algorithm searches for the regions of state space which remain most predictable for a given time into the future. I use the algorithm to investigate the predictability of both model chaotic systems and physical data from a fluid flow experiment.
Keywords/Search Tags:Chaotic, Predictability
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