Control of transversal instabilities in reaction-diffusion systems

dc.contributor.authorTotz, Sonja
dc.contributor.authorLöber, Jakob
dc.contributor.authorTotz, Jan Frederik
dc.contributor.authorEngel, Harald
dc.date.accessioned2022-02-17T14:36:34Z
dc.date.available2022-02-17T14:36:34Z
dc.date.issued2018-05-11
dc.date.updated2022-02-11T10:28:45Z
dc.description.abstractIn two-dimensional reaction-diffusion systems, local curvature perturbations on traveling waves are typically damped out and vanish. However, if the inhibitor diffuses much faster than the activator, transversal instabilities can arise, leading from flat to folded, spatio-temporally modulated waves and to spreading spiral turbulence. Here, we propose a scheme to induce or inhibit these instabilities via a spatio-temporal feedback loop. In a piecewise-linear version of the FitzHugh–Nagumo model, transversal instabilities and spiral turbulence in the uncontrolled system are shown to be suppressed in the presence of control, thereby stabilizing plane wave propagation. Conversely, in numerical simulations with the modified Oregonator model for the photosensitive Belousov–Zhabotinsky reaction, which does not exhibit transversal instabilities on its own, we demonstrate the feasibility of inducing transversal instabilities and study the emerging wave patterns in a well-controlled manner.en
dc.description.sponsorshipDFG, 163436311, SFB 910: Kontrolle selbstorganisierender nichtlinearer Systeme: Theoretische Methoden und Anwendungskonzepteen
dc.description.sponsorshipDFG, 87159868, GRK 1558: Kollektive Dynamik im Nichtgleichgewicht: in kondensierter Materie und biologischen Systemenen
dc.identifier.eissn1367-2630
dc.identifier.urihttps://depositonce.tu-berlin.de/handle/11303/16430
dc.identifier.urihttp://dx.doi.org/10.14279/depositonce-15206
dc.language.isoenen
dc.rights.urihttps://creativecommons.org/licenses/by/3.0/en
dc.subject.ddc530 Physikde
dc.subject.othertraveling wavesen
dc.subject.othercontrolen
dc.subject.othertransversal instabilitiesen
dc.titleControl of transversal instabilities in reaction-diffusion systemsen
dc.typeArticleen
dc.type.versionpublishedVersionen
dcterms.bibliographicCitation.articlenumber053034en
dcterms.bibliographicCitation.doi10.1088/1367-2630/aabce5en
dcterms.bibliographicCitation.issue5en
dcterms.bibliographicCitation.journaltitleNew Journal of Physicsen
dcterms.bibliographicCitation.originalpublishernameIOPen
dcterms.bibliographicCitation.originalpublisherplaceBristolen
dcterms.bibliographicCitation.volume20en
tub.accessrights.dnbfreeen
tub.affiliationFak. 2 Mathematik und Naturwissenschaften>Inst. Theoretische Physik>FG Nichtlineare Dynamik & Strukturbildungde
tub.affiliation.facultyFak. 2 Mathematik und Naturwissenschaftende
tub.affiliation.groupFG Nichtlineare Dynamik & Strukturbildungde
tub.affiliation.instituteInst. Theoretische Physikde
tub.publisher.universityorinstitutionTechnische Universität Berlinen
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