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2021-03-15Zeitschriftenartikel DOI: 10.18452/24419
A unified and automated approach to attractor reconstruction
dc.contributor.authorKraemer, K. H.
dc.contributor.authorDatseris, George
dc.contributor.authorKurths, Jürgen
dc.contributor.authorKiss, Istvan
dc.contributor.authorOcampo-Espindola, Jorge Luis
dc.contributor.authorMarwan, Norbert
dc.date.accessioned2022-03-31T09:46:10Z
dc.date.available2022-03-31T09:46:10Z
dc.date.issued2021-03-15none
dc.date.updated2022-02-11T22:17:16Z
dc.identifier.urihttp://edoc.hu-berlin.de/18452/25074
dc.description.abstractWe present a fully automated method for the optimal state space reconstruction from univariate and multivariate time series. The proposed methodology generalizes the time delay embedding procedure by unifying two promising ideas in a symbiotic fashion. Using non-uniform delays allows the successful reconstruction of systems inheriting different time scales. In contrast to the established methods, the minimization of an appropriate cost function determines the embedding dimension without using a threshold parameter. Moreover, the method is capable of detecting stochastic time series and, thus, can handle noise contaminated input without adjusting parameters. The superiority of the proposed method is shown on some paradigmatic models and experimental data from chaotic chemical oscillators.eng
dc.description.sponsorshipDeutsche Forschungsgemeinschafthttps://doi.org/10.13039/501100001659
dc.language.isoengnone
dc.publisherHumboldt-Universität zu Berlin
dc.rights(CC BY 4.0) Attribution 4.0 Internationalger
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.subjectnonlinear dynamicseng
dc.subjectcomplex systemseng
dc.subjectembeddingeng
dc.subjectstate space reconstructioneng
dc.subject.ddc004 Informatiknone
dc.subject.ddc530 Physiknone
dc.titleA unified and automated approach to attractor reconstructionnone
dc.typearticle
dc.identifier.urnurn:nbn:de:kobv:11-110-18452/25074-1
dc.identifier.doihttp://dx.doi.org/10.18452/24419
dc.type.versionpublishedVersionnone
local.edoc.pages21none
local.edoc.type-nameZeitschriftenartikel
local.edoc.container-typeperiodical
local.edoc.container-type-nameZeitschrift
dc.description.versionPeer Reviewednone
dc.identifier.eissn1367-2630
dcterms.bibliographicCitation.doi10.1088/1367-2630/abe336
dcterms.bibliographicCitation.journaltitleNew journal of physics : the open-access journal for physicsnone
dcterms.bibliographicCitation.volume23none
dcterms.bibliographicCitation.issue3none
dcterms.bibliographicCitation.articlenumber033017none
dcterms.bibliographicCitation.originalpublishernameIOPnone
dcterms.bibliographicCitation.originalpublisherplace[London]none
bua.departmentMathematisch-Naturwissenschaftliche Fakultätnone

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