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Control, Dynamics, and Epidemic Spreading in Complex Systems

dc.contributor.advisorOtt, Edwarden_US
dc.contributor.authorNagy, Viktoren_US
dc.date.accessioned2009-10-06T05:31:51Z
dc.date.available2009-10-06T05:31:51Z
dc.date.issued2009en_US
dc.identifier.urihttp://hdl.handle.net/1903/9447
dc.description.abstractIn this thesis we investigate three problems involving the control and dynamics of complex systems. (a) We first address the problem of controlling spatiotemporally chaotic systems using a forecast-based feedback control technique. As an example, we suppress turbulent spikes in simulations of the two-dimensional complex Ginzburg-Landau equation in the limit of small dissipation. (b) In our second problem we examine the dynamical evolution of the one-dimensional self-organized forest fire model, when the system is far from its statistically steady-state. In particular, we investigate situations in which conditions change on a time-scale that is faster than, or of the order of the typical system relaxation time. (c) Finally, we provide a mean field theory for a discrete time-step model of epidemic spreading on uncorrelated networks. The effect of degree distribution, time delays, and infection rate on the stability of oscillating and fixed point solutions is examined through analysis of discrete time mean-field equations.en_US
dc.format.extent1012053 bytes
dc.format.mimetypeapplication/pdf
dc.language.isoen_US
dc.titleControl, Dynamics, and Epidemic Spreading in Complex Systemsen_US
dc.typeDissertationen_US
dc.contributor.publisherDigital Repository at the University of Marylanden_US
dc.contributor.publisherUniversity of Maryland (College Park, Md.)en_US
dc.contributor.departmentPhysicsen_US
dc.subject.pqcontrolledPhysics, Generalen_US
dc.subject.pqcontrolledPhysics, Theoryen_US
dc.subject.pquncontrolledControl of chaosen_US
dc.subject.pquncontrolledEpidelmic spreadingen_US
dc.subject.pquncontrolledSelf organized criticalityen_US
dc.subject.pquncontrolledSIRS epidemic modelen_US


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