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http://hdl.handle.net/1903/2425
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| 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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Size | Format | No. of Downloads |
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| umi-umd-2290.pdf | | 1131Kb | Adobe PDF | 170 | View/Open |
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