Filtering Suppresses Amplitude Chimeras

dc.contributor.authorBanerjee, Tanmoy
dc.contributor.authorBandyopadhyay, Biswabibek
dc.contributor.authorZakharova, Anna
dc.contributor.authorSchöll, Eckehard
dc.date.accessioned2019-08-27T10:44:38Z
dc.date.available2019-08-27T10:44:38Z
dc.date.issued2019-02-11
dc.date.updated2019-08-26T13:48:48Z
dc.description.abstractAmplitude 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.sponsorshipDFG, 163436311, SFB 910: Kontrolle selbstorganisierender nichtlinearer Systeme: Theoretische Methoden und Anwendungskonzepteen
dc.identifier.eissn2297-4687
dc.identifier.urihttps://depositonce.tu-berlin.de/handle/11303/9908
dc.identifier.urihttp://dx.doi.org/10.14279/depositonce-8920
dc.language.isoenen
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/en
dc.subject.ddc530 Physikde
dc.subject.otherchimeraen
dc.subject.otheramplitude chimeraen
dc.subject.otheroscillation deathen
dc.subject.otherfilteringen
dc.subject.othercontrolen
dc.subject.otherrhythmogenesisen
dc.subject.otherall-pass filteren
dc.titleFiltering Suppresses Amplitude Chimerasen
dc.typeArticleen
dc.type.versionpublishedVersionen
dcterms.bibliographicCitation.articlenumber8en
dcterms.bibliographicCitation.doi10.3389/fams.2019.00008en
dcterms.bibliographicCitation.journaltitleFrontiers in Applied Mathematics and Statisticsen
dcterms.bibliographicCitation.originalpublishernameFrontiers Media S.A.en
dcterms.bibliographicCitation.originalpublisherplaceLausanneen
dcterms.bibliographicCitation.volume5en
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
Files
Original bundle
Now showing 1 - 13 of 13
Loading…
Thumbnail Image
Name:
fams-05-00008.pdf
Size:
2.09 MB
Format:
Adobe Portable Document Format
Description:
Loading…
Thumbnail Image
Name:
fams-05-00008-g0001.tif
Size:
649.57 KB
Format:
Tag Image File Format
Description:
Loading…
Thumbnail Image
Name:
fams-05-00008-g0002.tif
Size:
340.93 KB
Format:
Tag Image File Format
Description:
Loading…
Thumbnail Image
Name:
fams-05-00008-g0003.tif
Size:
744.55 KB
Format:
Tag Image File Format
Description:
Loading…
Thumbnail Image
Name:
fams-05-00008-g0004.tif
Size:
882.51 KB
Format:
Tag Image File Format
Description:
Loading…
Thumbnail Image
Name:
fams-05-00008-g0005.tif
Size:
175.82 KB
Format:
Tag Image File Format
Description:
Loading…
Thumbnail Image
Name:
fams-05-00008-g0006.tif
Size:
554.02 KB
Format:
Tag Image File Format
Description:
Loading…
Thumbnail Image
Name:
fams-05-00008-g0007.tif
Size:
905.87 KB
Format:
Tag Image File Format
Description:
Loading…
Thumbnail Image
Name:
fams-05-00008-i0001.tif
Size:
22.03 KB
Format:
Tag Image File Format
Description:
Loading…
Thumbnail Image
Name:
fams-05-00008-i0002.tif
Size:
26.58 KB
Format:
Tag Image File Format
Description:
Loading…
Thumbnail Image
Name:
fams-05-00008-i0003.tif
Size:
22.91 KB
Format:
Tag Image File Format
Description:
Loading…
Thumbnail Image
Name:
fams-05-00008-i0004.tif
Size:
21.93 KB
Format:
Tag Image File Format
Description:
Loading…
Thumbnail Image
Name:
fams-05-00008-i0005.tif
Size:
22.96 KB
Format:
Tag Image File Format
Description:
Collections