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dc.contributor.authorRawoot, Safia
dc.date.accessioned2015-11-17T01:25:44Z
dc.date.available2015-11-17T01:25:44Z
dc.date.issued2004-12
dc.identifier.urihttp://hdl.handle.net/11122/6186
dc.descriptionThesis (M.S.) University of Alaska Fairbanks, 2004en_US
dc.description.abstractSome of today's most important questions regard complex dynamical systems with many interacting components. Network models provide a means to gain insight into such systems. This thesis focuses on a network model based upon the Gray-Scott cubic autocatalytic reaction-diffusion system that manifests transient spatiotemporal chaos. Motivated by recent studies on the small-world topology discovered by Watts and Strogatz, the network's original regular ring topology was modified by the addition of a few irregular connections. The effects of these added connections on the system's transience as well on the dynamics local to the added connections were examined. It was found that the addition of a single connection can significantly effect the transient time of spatiotemporal chaos and that the addition of two connections can transform the system's spatiotemporal chaos from transient to asymptotic. These findings suggest that small modifications to a network's topology can greatly affect its behavior.en_US
dc.description.tableofcontentsIntroduction -- Background -- Transient spatiotemporal chaos in the presence of one shortcut -- Local dynamics in the vicinity of a shortcut -- Conclusion -- Bibliography.en_US
dc.language.isoen_USen_US
dc.titleTransient spatiotemporal chaos on complex networksen_US
dc.typeThesisen_US
dc.type.degreemsen_US
dc.identifier.departmentDepartment of Physicsen_US
refterms.dateFOA2020-03-05T12:04:06Z


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