dc.contributor.author
Veermann, Frits
dc.contributor.author
Schneider, Isabelle
dc.date.accessioned
2023-10-25T13:33:08Z
dc.date.available
2023-10-25T13:33:08Z
dc.identifier.uri
https://refubium.fu-berlin.de/handle/fub188/41230
dc.identifier.uri
http://dx.doi.org/10.17169/refubium-40951
dc.description.abstract
The aim of this paper is to investigate the use of Pyragas control on the stability of stationary, localized coherent structures in a general class of two-component, singularly perturbed, reaction-diffusion systems. We use noninvasive Pyragas-like proportional feedback control to stabilize a singular pulse solution to a two-component, singularly perturbed reaction-diffusion system. We show that in a significant region of parameter space, the control can be adjusted to stabilize an otherwise unstable pulse.
en
dc.format.extent
11 Seiten
dc.rights.uri
https://creativecommons.org/licenses/by/4.0/
dc.subject
Linear stability analysis
en
dc.subject
Control theory
en
dc.subject
Dynamical systems
en
dc.subject
Reaction-diffusion system
en
dc.subject
Perturbation theory
en
dc.subject.ddc
500 Naturwissenschaften und Mathematik::510 Mathematik::510 Mathematik
dc.title
Controlling pulse stability in singularly perturbed reaction-diffusion systems
dc.type
Wissenschaftlicher Artikel
dcterms.bibliographicCitation.articlenumber
083135
dcterms.bibliographicCitation.doi
10.1063/5.0152695
dcterms.bibliographicCitation.journaltitle
Chaos
dcterms.bibliographicCitation.number
8
dcterms.bibliographicCitation.originalpublishername
American Institute of Physics (AIP)
dcterms.bibliographicCitation.volume
33
dcterms.bibliographicCitation.url
https://doi.org/10.1063/5.0152695
refubium.affiliation
Mathematik und Informatik
refubium.affiliation.other
Institut für Mathematik
refubium.note.author
Die Publikation wurde aus Open Access Publikationsgeldern der Freien Universität Berlin gefördert.
de
refubium.resourceType.isindependentpub
no
dcterms.accessRights.openaire
open access
dcterms.isPartOf.eissn
1089-7682
