Long-range predictability of high-dimensional chaotic dynamics
Meyer, Thomas Patrick
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Permalink
https://hdl.handle.net/2142/22574
Description
Title
Long-range predictability of high-dimensional chaotic dynamics
Author(s)
Meyer, Thomas Patrick
Issue Date
1992
Doctoral Committee Chair(s)
Packard, Norman H.
Department of Study
Physics
Discipline
Physics
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Physics, General
Language
eng
Abstract
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.
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