Rendering a Subcritical Hopf Bifurcation Supercritical

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dc.contributor.authorYuen, Po Ki
dc.contributor.authorBau, Haim H.
dc.date2023-05-17T03:58:00.000
dc.date.accessioned2023-05-22T23:47:03Z
dc.date.available2023-05-22T23:47:03Z
dc.date.issued1996-01-18
dc.date.submitted2010-08-16T11:31:34-07:00
dc.description.abstractIt is demonstrated experimentally and theoretically that through the use of a nonlinear feedback controller, one can render a subcritical Hopf bifurcation supercritical and thus dramatically modify the nature of the flow in a thermal convection loop heated from below and cooled from above. In particular, we show that the controller can replace the naturally occurring chaotic motion with a stable, periodic limit cycle. The control strategy consists of sensing the deviation of fluid temperatures from desired values at a number of locations inside the loop and then altering the wall heating to counteract such deviations.
dc.description.commentsSuggested Citation: Yuen, Po Ki and Haim H. Bau. (1996). Rendering a subcritical Hopf bifurcation supercritical. Journal of Fluid Mechanics. Vol. 317, p. 91-109. Copyright 1996 Cambridge University Press. http://dx.doi.org/10.1017/S0022112096000675
dc.identifier.urihttps://repository.upenn.edu/handle/20.500.14332/39908
dc.legacy.articleid1205
dc.legacy.fieldstrue
dc.legacy.fulltexturlhttps://repository.upenn.edu/cgi/viewcontent.cgi?article=1205&context=meam_papers&unstamped=1
dc.source.issue195
dc.source.journalDepartmental Papers (MEAM)
dc.source.peerreviewedtrue
dc.source.statuspublished
dc.subject.otherEngineering
dc.subject.otherMechanical Engineering
dc.titleRendering a Subcritical Hopf Bifurcation Supercritical
dc.typeArticle
digcom.identifiermeam_papers/195
digcom.identifier.contextkey1448834
digcom.identifier.submissionpathmeam_papers/195
digcom.typearticle
dspace.entity.typePublication
relation.isAuthorOfPublicationa1623ead-7a93-4a52-94a0-4dd4a5aaaea2
relation.isAuthorOfPublication.latestForDiscoverya1623ead-7a93-4a52-94a0-4dd4a5aaaea2
upenn.schoolDepartmentCenterDepartmental Papers (MEAM)
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