Solitons, spatiotemporal chaos and synchronization in arrays of damped driven nonlinear oscillators

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dc.contributor.advisorBarashenkov, Igoren_ZA
dc.contributor.advisorAlexeeva, Noraen_ZA
dc.contributor.authorRobinson, William Michael Lewinen_ZA
dc.date.accessioned2014-07-31T08:10:54Z
dc.date.available2014-07-31T08:10:54Z
dc.date.issued2008en_ZA
dc.descriptionIncludes bibliographical references (p. 91-95).
dc.description.abstractSimulating the homogeneous chain, we demonstrate the existance of periodically oscillating solitons, the period-doubling sequence of transitions to temporal chaos and the degeneration into spatiotemporal chaos for larger driving strengths. Next, we explore the effect of introducing weak disorder in the simplest form, a single impurity, into the chain. We describe how a long impurity can induce a pinned soliton to form and prevent spatiotemporal chaos, synchronizing the oscillators in the chain. Lastly we study chains with several impurities in various configurations.en_ZA
dc.identifier.apacitationRobinson, W. M. L. (2008). <i>Solitons, spatiotemporal chaos and synchronization in arrays of damped driven nonlinear oscillators</i>. (Thesis). University of Cape Town ,Faculty of Science ,Department of Mathematics and Applied Mathematics. Retrieved from http://hdl.handle.net/11427/4927en_ZA
dc.identifier.chicagocitationRobinson, William Michael Lewin. <i>"Solitons, spatiotemporal chaos and synchronization in arrays of damped driven nonlinear oscillators."</i> Thesis., University of Cape Town ,Faculty of Science ,Department of Mathematics and Applied Mathematics, 2008. http://hdl.handle.net/11427/4927en_ZA
dc.identifier.citationRobinson, W. 2008. Solitons, spatiotemporal chaos and synchronization in arrays of damped driven nonlinear oscillators. University of Cape Town.en_ZA
dc.identifier.ris TY - Thesis / Dissertation AU - Robinson, William Michael Lewin AB - Simulating the homogeneous chain, we demonstrate the existance of periodically oscillating solitons, the period-doubling sequence of transitions to temporal chaos and the degeneration into spatiotemporal chaos for larger driving strengths. Next, we explore the effect of introducing weak disorder in the simplest form, a single impurity, into the chain. We describe how a long impurity can induce a pinned soliton to form and prevent spatiotemporal chaos, synchronizing the oscillators in the chain. Lastly we study chains with several impurities in various configurations. DA - 2008 DB - OpenUCT DP - University of Cape Town LK - https://open.uct.ac.za PB - University of Cape Town PY - 2008 T1 - Solitons, spatiotemporal chaos and synchronization in arrays of damped driven nonlinear oscillators TI - Solitons, spatiotemporal chaos and synchronization in arrays of damped driven nonlinear oscillators UR - http://hdl.handle.net/11427/4927 ER - en_ZA
dc.identifier.urihttp://hdl.handle.net/11427/4927
dc.identifier.vancouvercitationRobinson WML. Solitons, spatiotemporal chaos and synchronization in arrays of damped driven nonlinear oscillators. [Thesis]. University of Cape Town ,Faculty of Science ,Department of Mathematics and Applied Mathematics, 2008 [cited yyyy month dd]. Available from: http://hdl.handle.net/11427/4927en_ZA
dc.language.isoengen_ZA
dc.publisher.departmentDepartment of Mathematics and Applied Mathematicsen_ZA
dc.publisher.facultyFaculty of Scienceen_ZA
dc.publisher.institutionUniversity of Cape Town
dc.subject.otherMathematics and Applied Mathematicsen_ZA
dc.titleSolitons, spatiotemporal chaos and synchronization in arrays of damped driven nonlinear oscillatorsen_ZA
dc.typeMaster Thesis
dc.type.qualificationlevelMasters
dc.type.qualificationnameMScen_ZA
uct.type.filetypeText
uct.type.filetypeImage
uct.type.publicationResearchen_ZA
uct.type.resourceThesisen_ZA
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