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University of Central Florida

Electronic Theses and Dissertations

2006

Network structure

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Characterization Of Critical Network Components Of Coupled Oscillators, Gregory Holifield Jan 2006

Characterization Of Critical Network Components Of Coupled Oscillators, Gregory Holifield

Electronic Theses and Dissertations

This dissertation analyzes the fundamental limits for the determination of the network structure of loosely coupled oscillators based on observing the behavior of the network, specifically, node synchronization. The determination of the requisite characteristics and underlying behaviors necessary for the application of a theoretical mechanism for determining the underlying network topology in a network of loosely coupled natural oscillators are the desired outcome. To that end, this effort defines an analytical framework where key components of networks of coupled oscillators are isolated in order to determine the relationships between the various components. The relationship between the number of nodes in …