Chimera States in Nonlocally Coupled Oscillatory and Complex Oscillatory Systems
| atmire.migration.oldid | 528 | |
| dc.contributor.advisor | Davidsen, Jörn | |
| dc.contributor.author | Gu, Chad | |
| dc.date.accessioned | 2013-01-07T22:52:16Z | |
| dc.date.available | 2013-06-15T07:01:42Z | |
| dc.date.issued | 2013-01-07 | |
| dc.date.submitted | 2012 | en |
| dc.description.abstract | Populations of nonlocally coupled, identical limit cycle oscillators can lead to the peculiar chimera state, in which subpopulations of synchronized and unsynchronized oscillators coexist in localized spatial domains. We study the existence and robustness of chimera states in populations of simple, complex and chaotic oscillators, which are different forms of oscillation realizable in experiments. In the case of simple oscillation, we investigate the existence and robustness of chimera states under physically relevant constraints in our model such as time delay and frequency heterogeneity. We show for the first time that chimera states can be extended to the general setting of complex and chaotic oscillators, in particular, we find spiral wave chimera together with synchronization defect lines. We also introduce several methods for selecting parameters in general models that lead to the formation of chimera states in 1D or 2D systems, which can provide important theoretical guidance to future experimental studies. | en_US |
| dc.identifier.citation | Gu, C. (2013). Chimera States in Nonlocally Coupled Oscillatory and Complex Oscillatory Systems (Master's thesis, University of Calgary, Calgary, Canada). Retrieved from https://prism.ucalgary.ca. doi:10.11575/PRISM/25321 | en_US |
| dc.identifier.doi | http://dx.doi.org/10.11575/PRISM/25321 | |
| dc.identifier.uri | http://hdl.handle.net/11023/388 | |
| dc.language.iso | eng | |
| dc.publisher.faculty | Graduate Studies | |
| dc.publisher.institution | University of Calgary | en |
| dc.publisher.place | Calgary | en |
| dc.rights | University of Calgary graduate students retain copyright ownership and moral rights for their thesis. You may use this material in any way that is permitted by the Copyright Act or through licensing that has been assigned to the document. For uses that are not allowable under copyright legislation or licensing, you are required to seek permission. | |
| dc.subject | Physics--Theory | |
| dc.subject.classification | Oscillators | en_US |
| dc.subject.classification | Synchronization | en_US |
| dc.subject.classification | Nonlinear Dynamics | en_US |
| dc.title | Chimera States in Nonlocally Coupled Oscillatory and Complex Oscillatory Systems | |
| dc.type | master thesis | |
| thesis.degree.discipline | Physics and Astronomy | |
| thesis.degree.grantor | University of Calgary | |
| thesis.degree.name | Master of Science (MSc) | |
| ucalgary.item.requestcopy | true |