Spatiotemporal dynamics of the covariant Lyapunov vectors of chaotic convection

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dc.contributor.authorXu, M.en
dc.contributor.authorPaul, Mark R.en
dc.date.accessioned2024-10-09T14:05:35Zen
dc.date.available2024-10-09T14:05:35Zen
dc.date.issued2018-03-27en
dc.description.abstractWe explore the spatiotemporal dynamics of the spectrum of covariant Lyapunov vectors for chaotic Rayleigh-Bénard convection. We use the inverse participation ratio to quantify the amount of spatial localization of the covariant Lyapunov vectors. The covariant Lyapunov vectors are found to be spatially localized at times when the instantaneous covariant Lyapunov exponents are large. The spatial localization of the Lyapunov vectors often occurs near defect structures in the fluid flow field. There is an overall trend of decreasing spatial localization of the Lyapunov vectors with increasing index of the vector. The spatial localization of the covariant Lyapunov vectors with positive Lyapunov exponents decreases an order of magnitude faster with increasing vector index than all of the remaining vectors that we have computed. We find that a weighted covariant Lyapunov vector is useful for the visualization and interpretation of the significant connections between the Lyapunov vectors and the flow field patterns.en
dc.description.versionPublished versionen
dc.format.extent11 page(s)en
dc.format.mimetypeapplication/pdfen
dc.identifierARTN 032216 (Article number)en
dc.identifier.doihttps://doi.org/10.1103/PhysRevE.97.032216en
dc.identifier.eissn2470-0053en
dc.identifier.issn2470-0045en
dc.identifier.issue3en
dc.identifier.orcidPaul, Mark [0000-0002-0701-1955]en
dc.identifier.pmid29776133en
dc.identifier.urihttps://hdl.handle.net/10919/121315en
dc.identifier.volume97en
dc.language.isoenen
dc.publisherAmerican Physical Societyen
dc.relation.urihttp://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000428393200003&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=930d57c9ac61a043676db62af60056c1en
dc.relation.urihttp://dx.doi.org/10.1103/physreve.97.032216en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.titleSpatiotemporal dynamics of the covariant Lyapunov vectors of chaotic convectionen
dc.title.serialPhysical Review Een
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten
dc.type.otherArticleen
dc.type.otherJournalen
pubs.organisational-groupVirginia Techen
pubs.organisational-groupVirginia Tech/Engineeringen
pubs.organisational-groupVirginia Tech/Engineering/Mechanical Engineeringen
pubs.organisational-groupVirginia Tech/All T&R Facultyen
pubs.organisational-groupVirginia Tech/Engineering/COE T&R Facultyen

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