Long range predictability of high dimensional chaotic dynamics
Meyer, Thomas Patrick
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https://hdl.handle.net/2142/18908
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 Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
high dimensional chaotic dynamics
long range prediction
chaotic systems
model chaotic systems
Language
en
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 predictabilty of
both model chaotic systems and physical data from a fluid flow experiment.
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