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Please use this identifier to cite or link to this item: http://hdl.handle.net/1903/7728

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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