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http://hdl.handle.net/1903/7728
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| Title: | Synchronization in chaotic systems: Coupling of chaotic maps, data assimilation and weather forecasting |
| Authors: | Baek, Seung-Jong |
| Advisors: | Ott, Edward |
| Department/Program: | Electrical Engineering |
| Type: | Dissertation |
| Sponsors: | Digital Repository at the University of Maryland
University of Maryland (College Park, Md.) |
| Keywords: | 0544
Engineering, Electronics and Electrical
0608
Physics, Atmospheric Science |
| Issue Date: | 27-Nov-2007 |
| Abstract: | The theme of this thesis is the synchronization of coupled chaotic systems.
Background and introductory material are presented in Chapter 1.
In Chapter 2,
we study the transition to coherence of ensembles of globally
coupled chaotic maps allowing for ensembles of non-identical maps and
for noise. The transition coupling strength
is determined from a transfer function of the perturbation evolution.
Analytical results are presented and tested using numerical
experiments.
One of our examples suggests that the validity of the perturbation
theory approach can be problematic for an ensemble of noiseless
identical `nonhyperbolic' maps, but can be restored by noise and/or parameter spread.
The problem of estimating the state of a large
evolving spatiotemporally chaotic system from noisy observations
and a model of the system dynamics
is studied in Chapters 3 - 5.
This problem, refered to as `data assimilation', can
be thought of as a synchorization problem
where one attempts to synchronize t... |
| URI: | http://hdl.handle.net/1903/7728 |
| Appears in Collections: | Electrical & Computer Engineering Theses and Dissertations
UM Theses and Dissertations
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Size | Format | No. of Downloads |
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| umi-umd-5005.pdf | | 2994Kb | Adobe PDF | 56 | View/Open |
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