Control of transversal instabilities in reaction-diffusion systems
| dc.contributor.author | Totz, Sonja | |
| dc.contributor.author | Löber, Jakob | |
| dc.contributor.author | Totz, Jan Frederik | |
| dc.contributor.author | Engel, Harald | |
| dc.date.accessioned | 2022-02-17T14:36:34Z | |
| dc.date.available | 2022-02-17T14:36:34Z | |
| dc.date.issued | 2018-05-11 | |
| dc.date.updated | 2022-02-11T10:28:45Z | |
| dc.description.abstract | In 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.sponsorship | DFG, 163436311, SFB 910: Kontrolle selbstorganisierender nichtlinearer Systeme: Theoretische Methoden und Anwendungskonzepte | en |
| dc.description.sponsorship | DFG, 87159868, GRK 1558: Kollektive Dynamik im Nichtgleichgewicht: in kondensierter Materie und biologischen Systemen | en |
| dc.identifier.eissn | 1367-2630 | |
| dc.identifier.uri | https://depositonce.tu-berlin.de/handle/11303/16430 | |
| dc.identifier.uri | http://dx.doi.org/10.14279/depositonce-15206 | |
| dc.language.iso | en | en |
| dc.rights.uri | https://creativecommons.org/licenses/by/3.0/ | en |
| dc.subject.ddc | 530 Physik | de |
| dc.subject.other | traveling waves | en |
| dc.subject.other | control | en |
| dc.subject.other | transversal instabilities | en |
| dc.title | Control of transversal instabilities in reaction-diffusion systems | en |
| dc.type | Article | en |
| dc.type.version | publishedVersion | en |
| dcterms.bibliographicCitation.articlenumber | 053034 | en |
| dcterms.bibliographicCitation.doi | 10.1088/1367-2630/aabce5 | en |
| dcterms.bibliographicCitation.issue | 5 | en |
| dcterms.bibliographicCitation.journaltitle | New Journal of Physics | en |
| dcterms.bibliographicCitation.originalpublishername | IOP | en |
| dcterms.bibliographicCitation.originalpublisherplace | Bristol | en |
| dcterms.bibliographicCitation.volume | 20 | en |
| tub.accessrights.dnb | free | en |
| tub.affiliation | Fak. 2 Mathematik und Naturwissenschaften::Inst. Theoretische Physik::FG Nichtlineare Dynamik & Strukturbildung | de |
| tub.affiliation.faculty | Fak. 2 Mathematik und Naturwissenschaften | de |
| tub.affiliation.group | FG Nichtlineare Dynamik & Strukturbildung | de |
| tub.affiliation.institute | Inst. Theoretische Physik | de |
| tub.publisher.universityorinstitution | Technische Universität Berlin | en |