Stability of spiral chimera states on a torus
| dc.bibliographicCitation.seriesTitle | WIAS Preprints | eng |
| dc.bibliographicCitation.volume | 2417 | |
| dc.contributor.author | Omelchenko, Oleh E. | |
| dc.contributor.author | Wolfrum, Matthias | |
| dc.contributor.author | Knobloch, Edgar | |
| dc.date.accessioned | 2017-09-28T00:59:26Z | |
| dc.date.available | 2019-06-28T08:02:51Z | |
| dc.date.issued | 2017 | |
| dc.description.abstract | We study destabilization mechanisms of spiral coherence-incoherence patterns known as spiral chimera states that form on a two-dimensional lattice of nonlocally coupled phase oscillators. For this purpose we employ the linearization of the OttAntonsen equation that is valid in the continuum limit and perform a detailed two-parameter stability analysis of a D4-symmetric chimera state, i.e., a four-core spiral state. We identify fold, Hopf and parity-breaking bifurcations as the main mechanisms whereby spiral chimeras can lose stability. Beyond these bifurcations we find new spatio-temporal patterns, in particular, quasiperiodic chimeras, D2-symmetric spiral chimeras as well as drifting states. | eng |
| dc.description.version | publishedVersion | eng |
| dc.format | application/pdf | |
| dc.identifier.issn | 2198-5855 | |
| dc.identifier.uri | https://doi.org/10.34657/3252 | |
| dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/1930 | |
| 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.2417 | |
| 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 | coherence-incoherence patterns | eng |
| dc.subject.other | chimera states | eng |
| dc.subject.other | Ott–Antonsen equation | eng |
| dc.subject.other | bifurcation analysis | eng |
| dc.title | Stability of spiral chimera states on a torus | 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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