Controlling chimera and solitary states by additive noise in networks of chaotic maps
| dc.contributor.author | Rybalova, Elena | |
| dc.contributor.author | Schöll, Eckehard | |
| dc.contributor.author | Strelkova, Galina | |
| dc.date.accessioned | 2023-03-03T13:17:32Z | |
| dc.date.available | 2023-03-03T13:17:32Z | |
| dc.date.issued | 2022-9-12 | |
| dc.description.abstract | We study numerically the spatio-temporal dynamics of ring networks of coupled discrete-time systems in the presence of additive noise. The robustness of chimera states with respect to noise perturbations is explored for two ensembles in which the individual elements are described by either logistic maps or Henon maps in the chaotic regime. The influence of noise on the behavior of solitary states is investigated for a ring of nonlocally coupled Lozi maps. Numerical simulations are performed for a set of different noise realizations and random initial conditions to provide reliable statistical data. The type of dynamics of the considered networks is quantified by using a cross-correlation coefficient. We find that there is a finite and sufficiently wide region with respect to the coupling strength and the noise intensity where the probability of observing the chimeras and solitary states is high. | en |
| dc.description.sponsorship | DFG, 429685422, Kontrollierte Synchronisation in heterogenen Multischicht-Netzwerken | |
| dc.description.sponsorship | DFG, 440145547, Komplexe dynamische Netzwerke: Effekte von Heterogenität, Adaptivität und Topologie der Kopplungen | |
| dc.identifier.eissn | 1563-5120 | |
| dc.identifier.issn | 1023-6198 | |
| dc.identifier.uri | https://depositonce.tu-berlin.de/handle/11303/18277 | |
| dc.identifier.uri | https://doi.org/10.14279/depositonce-17071 | |
| dc.language.iso | en | |
| dc.rights.uri | https://creativecommons.org/licenses/by-nc/4.0/ | |
| dc.subject.ddc | 500 Naturwissenschaften und Mathematik::510 Mathematik::510 Mathematik | |
| dc.subject.other | nonlocal coupling | en |
| dc.subject.other | chimera states | en |
| dc.subject.other | solitary states | en |
| dc.subject.other | logistic map | en |
| dc.subject.other | Henon map | en |
| dc.subject.other | Lozi map | en |
| dc.title | Controlling chimera and solitary states by additive noise in networks of chaotic maps | |
| dc.type | Article | |
| dc.type.version | acceptedVersion | |
| dcterms.bibliographicCitation.doi | 10.1080/10236198.2022.2118580 | |
| dcterms.bibliographicCitation.journaltitle | Journal of Difference Equations and Applications | |
| dcterms.bibliographicCitation.originalpublishername | Taylor & Francis | |
| dcterms.bibliographicCitation.originalpublisherplace | London [u.a.] | |
| dcterms.rightsHolder.note | This is an Accepted Manuscript of an article published by Taylor & Francis in the Journal of Difference Equations and Applications on 12 Sep 2022, available at: http://www.tandfonline.com/10.1080/10236198.2022.2118580. | |
| dcterms.rightsHolder.reference | Verlagspolicy | |
| dcterms.rightsHolder.url | https://web.archive.org/web/20221109102329/https://authorservices.taylorandfrancis.com/publishing-open-access/oa-green-gold/ | |
| tub.accessrights.dnb | free | * |
| tub.affiliation | Fak. 2 Mathematik und Naturwissenschaften::Inst. Theoretische Physik::FG Nichtlineare Dynamik und Kontrolle | |
| tub.publisher.universityorinstitution | Technische Universität Berlin |