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

 

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dc.contributor.advisor Barashenkov, Igor en_ZA
dc.contributor.advisor Alexeeva, Nora en_ZA
dc.contributor.author Robinson, William Michael Lewin en_ZA
dc.date.accessioned 2014-07-31T08:10:54Z
dc.date.available 2014-07-31T08:10:54Z
dc.date.issued 2008 en_ZA
dc.identifier.citation Robinson, W. 2008. Solitons, spatiotemporal chaos and synchronization in arrays of damped driven nonlinear oscillators. University of Cape Town. en_ZA
dc.identifier.uri http://hdl.handle.net/11427/4927
dc.description Includes bibliographical references (p. 91-95).
dc.description.abstract 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. en_ZA
dc.language.iso eng en_ZA
dc.subject.other Mathematics and Applied Mathematics en_ZA
dc.title Solitons, spatiotemporal chaos and synchronization in arrays of damped driven nonlinear oscillators en_ZA
dc.type Master Thesis
uct.type.publication Research en_ZA
uct.type.resource Thesis en_ZA
dc.publisher.institution University of Cape Town
dc.publisher.faculty Faculty of Science en_ZA
dc.publisher.department Department of Mathematics and Applied Mathematics en_ZA
dc.type.qualificationlevel Masters
dc.type.qualificationname MSc en_ZA
uct.type.filetype Text
uct.type.filetype Image
dc.identifier.apacitation Robinson, 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/11427/4927 en_ZA
dc.identifier.chicagocitation Robinson, 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/11427/4927 en_ZA
dc.identifier.vancouvercitation Robinson 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/11427/4927 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


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