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Solitons, spatiotemporal chaos and synchronization in arrays of damped driven nonlinear oscillators
Includes bibliographical references (p. 91-95).
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| Other Authors: | |
| Format: | Thesis |
| Language: | English |
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Department of Mathematics and Applied Mathematics
2014
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| _version_ | 1867613312329449472 |
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| access_status_str | Open Access |
| author | Robinson, William Michael Lewin |
| author2 | Barashenkov, Igor |
| author_browse | Barashenkov, Igor Robinson, William Michael Lewin |
| author_facet | Barashenkov, Igor Robinson, William Michael Lewin |
| author_sort | Robinson, William Michael Lewin |
| collection | Thesis |
| description | Includes bibliographical references (p. 91-95). |
| format | Thesis |
| id | oai:open.uct.ac.za:11427/4927 |
| institution | University of Cape Town (South Africa) |
| language | eng |
| last_indexed | 2026-06-10T12:34:08.683Z |
| license_str | Not specified — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from UCTD — University of Cape Town Open Access Repository |
| publishDate | 2014 |
| publishDateRange | 2014 |
| publishDateSort | 2014 |
| publisher | Department of Mathematics and Applied Mathematics |
| publisherStr | Department of Mathematics and Applied Mathematics |
| record_format | dspace |
| source_str | UCTD — University of Cape Town Open Access Repository |
| spelling | oai:open.uct.ac.za:11427/4927 Solitons, spatiotemporal chaos and synchronization in arrays of damped driven nonlinear oscillators Robinson, William Michael Lewin Barashenkov, Igor Alexeeva, Nora Mathematics and Applied Mathematics Includes bibliographical references (p. 91-95). 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. 2014-07-31T08:10:54Z 2014-07-31T08:10:54Z 2008 Master Thesis Masters MSc http://hdl.handle.net/11427/4927 eng application/pdf Department of Mathematics and Applied Mathematics Faculty of Science University of Cape Town |
| spellingShingle | Mathematics and Applied Mathematics Robinson, William Michael Lewin Solitons, spatiotemporal chaos and synchronization in arrays of damped driven nonlinear oscillators |
| thesis_degree_str | Master's |
| title | Solitons, spatiotemporal chaos and synchronization in arrays of damped driven nonlinear oscillators |
| title_full | Solitons, spatiotemporal chaos and synchronization in arrays of damped driven nonlinear oscillators |
| title_fullStr | Solitons, spatiotemporal chaos and synchronization in arrays of damped driven nonlinear oscillators |
| title_full_unstemmed | Solitons, spatiotemporal chaos and synchronization in arrays of damped driven nonlinear oscillators |
| title_short | Solitons, spatiotemporal chaos and synchronization in arrays of damped driven nonlinear oscillators |
| title_sort | solitons spatiotemporal chaos and synchronization in arrays of damped driven nonlinear oscillators |
| topic | Mathematics and Applied Mathematics |
| url | http://hdl.handle.net/11427/4927 |
| work_keys_str_mv | AT robinsonwilliammichaellewin solitonsspatiotemporalchaosandsynchronizationinarraysofdampeddrivennonlinearoscillators |