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Please use this identifier to cite or link to this item: http://hdl.handle.net/1903/2425

Title: SYNCHRONIZATION IN NETWORKS OF COUPLED OSCILLATORS
Authors: Restrepo, Juan Gabriel
Advisors: OTT, EDWARD
Department/Program: Applied Mathematics and Scientific Computation
Type: Dissertation
Sponsors: Digital Repository at the University of Maryland
University of Maryland (College Park, Md.)
Keywords: Mathematics (0405)
NETWORKS, CHAOS, SYNCHRONIZATION, NONLINEAR, OSCILLATOR
Issue Date: 18-Apr-2005
Abstract: We study different aspects of synchronization in networks of coupled oscillators: We adapt a previous model and analysis method (the master stability function), extensively used for studying the stability of the synchronous state of networks of identical chaotic oscillators, to the case of oscillators that are similar but not exactly identical. We find that bubbling induced desynchronization bursts occur for some parameter values. These bursts have spatial patterns, which can be predicted from the network connectivity matrix and the unstable periodic orbits embedded in the attractor. We test the analysis of bursts by comparison with numerical experiments. In the case that no bursting occurs, we discuss the deviations from the exactly synchronous state caused by the mismatch between oscillators. We present a method to determine the relative parameter mismatch in a collection of nearly identical chaotic oscillators by measuring large deviations from the synchronized ...
URI: http://hdl.handle.net/1903/2425
Appears in Collections:Computer Science Theses and Dissertations
Mathematics Theses and Dissertations
UM Theses and Dissertations

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