dc.contributor.author	Banerjee, Tanmoy
dc.contributor.author	Bandyopadhyay, Biswabibek
dc.contributor.author	Zakharova, Anna
dc.contributor.author	Schöll, Eckehard
dc.date.accessioned	2019-08-27T10:44:38Z
dc.date.available	2019-08-27T10:44:38Z
dc.date.issued	2019-02-11
dc.date.updated	2019-08-26T13:48:48Z
dc.description.abstract	Amplitude chimera (AC) is an interesting chimera pattern that has been discovered recently and is distinct from other chimera patterns, like phase chimeras and amplitude mediated phase chimeras. Unlike other chimeras, in the AC pattern all the oscillators have the same phase velocity, however, the oscillators in the incoherent domain show periodic oscillations with randomly shifted origin. In this paper we investigate the effect of local filtering in the coupling path on the occurrence of AC patterns. Our study is motivated by the fact that in the practical coupling channels filtering effects come into play due to the presence of dispersion and dissipation. We show that a low-pass or all-pass filtering is actually detrimental to the occurrence of AC. We quantitatively establish that with decreasing cut-off frequency of the filter, an AC transforms into a synchronized pattern. We also show that the symmetry-breaking steady state, i.e., the oscillation death state can be revoked and rhythmogenesis can be induced by local filtering. Our study will shed light on the understanding of many biological systems where spontaneous symmetry-breaking and local filtering occur simultaneously.	en
dc.description.sponsorship	DFG, 163436311, SFB 910: Kontrolle selbstorganisierender nichtlinearer Systeme: Theoretische Methoden und Anwendungskonzepte	en
dc.identifier.eissn	2297-4687
dc.identifier.uri	https://depositonce.tu-berlin.de/handle/11303/9908
dc.identifier.uri	http://dx.doi.org/10.14279/depositonce-8920
dc.language.iso	en	en
dc.rights.uri	https://creativecommons.org/licenses/by/4.0/	en
dc.subject.ddc	530 Physik	de
dc.subject.other	chimera	en
dc.subject.other	amplitude chimera	en
dc.subject.other	oscillation death	en
dc.subject.other	filtering	en
dc.subject.other	control	en
dc.subject.other	rhythmogenesis	en
dc.subject.other	all-pass filter	en
dc.title	Filtering Suppresses Amplitude Chimeras	en
dc.type	Article	en
dc.type.version	publishedVersion	en
dcterms.bibliographicCitation.articlenumber	8	en
dcterms.bibliographicCitation.doi	10.3389/fams.2019.00008	en
dcterms.bibliographicCitation.journaltitle	Frontiers in Applied Mathematics and Statistics	en
dcterms.bibliographicCitation.originalpublishername	Frontiers Media S.A.	en
dcterms.bibliographicCitation.originalpublisherplace	Lausanne	en
dcterms.bibliographicCitation.volume	5	en
tub.accessrights.dnb	free	en
tub.affiliation	Fak. 2 Mathematik und Naturwissenschaften::Inst. Theoretische Physik::FG Nichtlineare Dynamik und Kontrolle	de
tub.affiliation.faculty	Fak. 2 Mathematik und Naturwissenschaften	de
tub.affiliation.group	FG Nichtlineare Dynamik und Kontrolle	de
tub.affiliation.institute	Inst. Theoretische Physik	de
tub.publisher.universityorinstitution	Technische Universität Berlin	en

Filtering Suppresses Amplitude Chimeras

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