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DTSTART:20190331T030000
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DTSTART:20191027T020000
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BEGIN:VEVENT
DTSTAMP:20210515T022252Z
UID:5c8a5b8a6b4cd190021072@ist.ac.at
DTSTART:20190731T130000
DTEND:20190731T141500
DESCRIPTION:Speaker: Nazmi Burak Budanur\nAbstract: In recent years\, numer
ical discoveries of unstable time-periodic solutions in various shear flow
simulations have sparked hopes of developing a chaos-theoretical understa
nding of turbulence. For many cases of interest\, however\, the standard t
ools of chaos theory\, such as Poincar sections\, were not sufficient for
uncovering a complete description of turbulence due to its high dimensiona
lity of the dynamics. As a result\, the discoveries of periodic orbits in
turbulent flows have remained at an illustrative level with no obvious pat
hs towards their utilization in turbulence modeling and control. One simpl
e question one might ask is whether the turbulent dynamics transiently app
roximate periodic solutions\, and if so\, how frequently? We argue that a
systematic study of this problem requires a method for unsupervised identi
fication of geometric similarities between periodic orbits and turbulent t
rajectory segments in the system's state space. We will demonstrate with e
xamples that a topological data analysis-based approach can be employed fo
r this purpose.
LOCATION:Mondi Seminar Room 3\, Central Building\, IST Austria
ORGANIZER:hwagner@ist.ac.at
SUMMARY:GeomTop Seminar: Detecting recurrences in high-dimensional flows fr
om persistence
URL:https://talks-calendar.app.ist.ac.at/events/2044
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