dc.contributor.author
Schneider, Isabelle
dc.contributor.author
de Wolff, Babette
dc.contributor.author
Dai, Jia-Yuan
dc.date.accessioned
2023-01-09T13:20:54Z
dc.date.available
2023-01-09T13:20:54Z
dc.identifier.uri
https://refubium.fu-berlin.de/handle/fub188/37537
dc.identifier.uri
http://dx.doi.org/10.17169/refubium-37251
dc.description.abstract
The complex Ginzburg–Landau equation serves as a paradigm of pattern formation and the existence and stability properties of Ginzburg–Landau m-armed spiral waves have been investigated extensively. However, many multi-armed spiral waves are unstable and thereby rarely visible in experiments and numerical simulations. In this article we selectively stabilize certain significant classes of unstable spiral waves within circular and spherical geometries. As a result, stable spiral waves with an arbitrary number of arms are obtained for the first time. Our tool for stabilization is the symmetry-breaking control triple method, which is an equivariant generalization of the widely applied Pyragas control to the setting of PDEs.
en
dc.format.extent
28 Seiten
dc.rights.uri
https://creativecommons.org/licenses/by/4.0/
dc.subject
Ginzburg–Landau spiral waves
en
dc.subject
pattern formation
en
dc.subject
stability properties
en
dc.subject.ddc
500 Naturwissenschaften und Mathematik::510 Mathematik::510 Mathematik
dc.title
Pattern-Selective Feedback Stabilization of Ginzburg–Landau Spiral Waves
dc.type
Wissenschaftlicher Artikel
dcterms.bibliographicCitation.doi
10.1007/s00205-022-01826-9
dcterms.bibliographicCitation.journaltitle
Archive for Rational Mechanics and Analysis
dcterms.bibliographicCitation.number
2-3
dcterms.bibliographicCitation.pagestart
631
dcterms.bibliographicCitation.pageend
658
dcterms.bibliographicCitation.volume
246
dcterms.bibliographicCitation.url
https://doi.org/10.1007/s00205-022-01826-9
refubium.affiliation
Mathematik und Informatik
refubium.affiliation.other
Institut für Mathematik

refubium.resourceType.isindependentpub
no
dcterms.accessRights.openaire
open access
dcterms.isPartOf.eissn
1432-0673
refubium.resourceType.provider
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