Time-delayed feedback control of coherence resonance chimeras

dc.contributor.authorZakharova, Anna
dc.contributor.authorSemenova, Nadezhda
dc.contributor.authorAnishchenko, Vadim
dc.contributor.authorSchöll, Eckehard
dc.date.accessioned2020-03-06T16:05:38Z
dc.date.available2020-03-06T16:05:38Z
dc.date.issued2017-10-26
dc.descriptionThis article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing. This article appeared in Chaos 27, 114320 (2017) and may be found at https://doi.org/10.1063/1.5008385.en
dc.description.abstractUsing the model of a FitzHugh-Nagumo system in the excitable regime, we investigate the influence of time-delayed feedback on noise-induced chimera states in a network with nonlocal coupling, i.e., coherence resonance chimeras. It is shown that time-delayed feedback allows for the control of the range of parameter values where these chimera states occur. Moreover, for the feedback delay close to the intrinsic period of the system, we find a novel regime which we call period-two coherence resonance chimera. Coherence resonance chimeras in nonlocally coupled networks of excitable elements represent partial synchronization patterns composed of spatially separated domains of coherent and incoherent spiking behavior, which are induced by noise. These patterns are different from classical chimera states occurring in deterministic oscillatory systems and combine properties of the counter-intuitive phenomenon of coherence resonance, i.e., a constructive role of noise, and chimera states, i.e., the coexistence of spatially synchronized and desynchronized domains in a network of identical elements. Another distinctive feature of the particular type of chimera we study here is its alternating behavior, i.e., periodic switching of the location of coherent and incoherent domains. Applying time-delayed feedback, we demonstrate how to control coherence resonance chimeras by adjusting delay time and feedback strength. In particular, we show that feedback increases the parameter intervals of existence of chimera states and has a significant impact on their alternating dynamics leading to the appearance of novel patterns, which we call period-two coherence resonance chimera. Since the dynamics of every individual network element in our study is given by the FitzHugh-Nagumo (FHN) system, which is a paradigmatic model for neurons in the excitable regime, we expect wide-range applications of our results to neural networks.en
dc.description.sponsorshipDFG, 163436311, SFB 910: Kontrolle selbstorganisierender nichtlinearer Systeme: Theoretische Methoden und Anwendungskonzepteen
dc.identifier.eissn1089-7682
dc.identifier.issn1054-1500
dc.identifier.urihttps://depositonce.tu-berlin.de/handle/11303/10889
dc.identifier.urihttp://dx.doi.org/10.14279/depositonce-9782
dc.language.isoenen
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.ddc530 Physikde
dc.subject.otherchimera statesen
dc.subject.otherdelayed feedbacken
dc.subject.otherincoherent domainen
dc.subject.othercoherence resonance chimeraen
dc.subject.otherdelay timeen
dc.subject.otherFitzHugh-Nagumo systemen
dc.titleTime-delayed feedback control of coherence resonance chimerasen
dc.typeArticleen
dc.type.versionpublishedVersionen
dcterms.bibliographicCitation.articlenumber114320en
dcterms.bibliographicCitation.doi10.1063/1.5008385en
dcterms.bibliographicCitation.issue11en
dcterms.bibliographicCitation.journaltitleChaos: An Interdisciplinary Journal of Nonlinear Scienceen
dcterms.bibliographicCitation.originalpublishernameAmerican Institute of Physics (AIP)en
dcterms.bibliographicCitation.originalpublisherplaceMelville, NYen
dcterms.bibliographicCitation.volume27en
tub.accessrights.dnbfreeen
tub.affiliationFak. 2 Mathematik und Naturwissenschaften>Inst. Theoretische Physik>FG Nichtlineare Dynamik und Kontrollede
tub.affiliation.facultyFak. 2 Mathematik und Naturwissenschaftende
tub.affiliation.groupFG Nichtlineare Dynamik und Kontrollede
tub.affiliation.instituteInst. Theoretische Physikde
tub.publisher.universityorinstitutionTechnische Universität Berlinen
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