Dynamic Topology in Spatiotemporal Chaos

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dc.contributor.authorOuellette, Nicholas T.
dc.contributor.authorGollub, Jerry P.
dc.date2023-05-17T05:55:13.000
dc.date.accessioned2023-05-23T00:22:53Z
dc.date.available2023-05-23T00:22:53Z
dc.date.issued2008-06-30
dc.date.submitted2011-01-25T09:45:41-08:00
dc.description.abstractBy measuring the tracks of tracer particles in a quasi-two-dimensional spatiotemporally chaotic laboratory flow, we determine the instantaneous curvature along each trajectory and use it to construct the instantaneous curvature field. We show that this field can be used to extract the time-dependent hyperbolic and elliptic points of the flow. These important topological features are created and annihilated in pairs only above a critical Reynolds number that is largest for highly symmetric flows. We also study the statistics of curvature for different driving patterns and show that the curvature probability distribution is insensitive to the details of the flow.
dc.description.commentsSuggested Citation: N.T. Ouellette and J.P. Gollub. (2008). "Dynamic Topology in Spatiotemporal Chaos." Physics of Fluids. 20, 064104. © 2008 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The following article appeared in Physics of Fluids and may be found at http://dx.doi.org/10.1063/1.2948849
dc.identifier.urihttps://repository.upenn.edu/handle/20.500.14332/42791
dc.legacy.articleid1110
dc.legacy.fieldstrue
dc.legacy.fulltexturlhttps://repository.upenn.edu/cgi/viewcontent.cgi?article=1110&context=physics_papers&unstamped=1
dc.source.issue106
dc.source.journalDepartment of Physics Papers
dc.source.peerreviewedtrue
dc.source.statuspublished
dc.subject.otherPhysical Sciences and Mathematics
dc.subject.otherPhysics
dc.titleDynamic Topology in Spatiotemporal Chaos
dc.typeArticle
digcom.contributor.authorOuellette, Nicholas T.
digcom.contributor.authorisAuthorOfPublication|email:jgollub@haverford.edu|institution:Haverford University; University of Pennsylvania|Gollub, Jerry P.
digcom.identifierphysics_papers/106
digcom.identifier.contextkey1744442
digcom.identifier.submissionpathphysics_papers/106
digcom.typearticle
dspace.entity.typePublication
relation.isAuthorOfPublicationd13c2511-db20-4a01-948d-d2296d323cff
relation.isAuthorOfPublication.latestForDiscoveryd13c2511-db20-4a01-948d-d2296d323cff
upenn.schoolDepartmentCenterDepartment of Physics Papers
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