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2017-02-02Zeitschriftenartikel DOI: 10.18452/24369
Potentials and limits to basin stability estimation
dc.contributor.authorKurths, Jürgen
dc.contributor.authorSchultz, Paul
dc.contributor.authorMenck, Peter J.
dc.contributor.authorHeitzig, Jobst
dc.date.accessioned2022-03-24T13:07:06Z
dc.date.available2022-03-24T13:07:06Z
dc.date.issued2017-02-02none
dc.date.updated2022-02-11T05:34:28Z
dc.identifier.urihttp://edoc.hu-berlin.de/18452/25022
dc.description.abstractStability assessment methods for dynamical systems have recently been complemented by basin stability and derived measures, i.e. probabilistic statements whether systems remain in a basin of attraction given a distribution of perturbations. Their application requires numerical estimation via Monte Carlo sampling and integration of differential equations. Here, we analyse the applicability of basin stability to systems with basin geometries that are challenging for this numerical method, having fractal basin boundaries and riddled or intermingled basins of attraction. We find that numerical basin stability estimation is still meaningful for fractal boundaries but reaches its limits for riddled basins with holes.eng
dc.description.sponsorshipBundesministerium für Bildung und Forschung https://doi.org/10.13039/501100002347
dc.language.isoengnone
dc.publisherHumboldt-Universität zu Berlin
dc.rights(CC BY 3.0) Attribution 3.0 Unportedger
dc.rights.urihttps://creativecommons.org/licenses/by/3.0/
dc.subjectattractoreng
dc.subjectbasin stabilityeng
dc.subjectfractal basin boundarieseng
dc.subjectriddled basinseng
dc.subjectintermingled basinseng
dc.subject.ddc510 Mathematiknone
dc.subject.ddc530 Physiknone
dc.titlePotentials and limits to basin stability estimationnone
dc.typearticle
dc.identifier.urnurn:nbn:de:kobv:11-110-18452/25022-0
dc.identifier.doihttp://dx.doi.org/10.18452/24369
dc.type.versionpublishedVersionnone
local.edoc.pages8none
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/aa5a7bnone
dcterms.bibliographicCitation.journaltitleNew journal of physics : the open-access journal for physicsnone
dcterms.bibliographicCitation.volume19none
dcterms.bibliographicCitation.issue2none
dcterms.bibliographicCitation.articlenumber023005none
dcterms.bibliographicCitation.originalpublishernameIOPnone
dcterms.bibliographicCitation.originalpublisherplace[London]none
bua.departmentMathematisch-Naturwissenschaftliche Fakultätnone

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