The mathematics behind chimera states
| dc.bibliographicCitation.seriesTitle | WIAS Preprints | eng |
| dc.bibliographicCitation.volume | 2450 | |
| dc.contributor.author | Omelchenko, Oleh E. | |
| dc.date.accessioned | 2017-12-20T08:47:29Z | |
| dc.date.available | 2019-06-28T08:09:50Z | |
| dc.date.issued | 2017 | |
| dc.description.abstract | Chimera states are self-organized spatiotemporal patterns of coexisting coherence and incoherence. We give an overview of the main mathematical methods used in studies of chimera states, focusing on chimera states in spatially extended coupled oscillator systems. We discuss the continuum limit approach to these states, Ott-Antonsen manifold reduction, finite size chimera states, control of chimera states and the influence of system design on the type of chimera state that is observed. | eng |
| dc.description.version | publishedVersion | eng |
| dc.format | application/pdf | |
| dc.identifier.issn | 2198-5855 | |
| dc.identifier.uri | https://doi.org/10.34657/3377 | |
| dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/2679 | |
| dc.language.iso | eng | eng |
| dc.publisher | Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik | eng |
| dc.relation.doi | https://doi.org/10.20347/WIAS.PREPRINT.2450 | |
| dc.relation.issn | 0946-8633 | eng |
| dc.rights.license | This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties. | eng |
| dc.rights.license | Dieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. | ger |
| dc.subject.ddc | 510 | eng |
| dc.subject.other | Coupled oscillators | eng |
| dc.subject.other | pattern formation | eng |
| dc.subject.other | spatial chaos | eng |
| dc.subject.other | chimera states | eng |
| dc.subject.other | coherence-incoherence patterns | eng |
| dc.subject.other | nonlinear Fokker-Planck equation | eng |
| dc.subject.other | Ott-Antonsen manifold | eng |
| dc.subject.other | bifurcations | eng |
| dc.title | The mathematics behind chimera states | eng |
| dc.type | Report | eng |
| dc.type | Text | eng |
| tib.accessRights | openAccess | eng |
| wgl.contributor | WIAS | eng |
| wgl.subject | Mathematik | eng |
| wgl.type | Report / Forschungsbericht / Arbeitspapier | eng |
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