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SUMMARY:Saddles\, Edge States\, and Transitions in Complex Systems - Tobia
 s Grafke\, Warwick
DTSTART:20220301T130000Z
DTEND:20220301T140000Z
UID:TALK170621@talks.cam.ac.uk
CONTACT:Camille Scalliet
DESCRIPTION:Transitions between metastable states are important in many as
 pects of science\, from phase transitions\, over the onset of turbulence\,
  to tipping points in Earth's climate. All of them feature multiple locall
 y stable states with basins of attraction\, with edge states on their boun
 daries that facilitate the transition. The nature of these edge states (or
  transition states) often gives insight into the structure\, likelihood\, 
 and mechanisms of the transition itself. In this talk\, I will give an ove
 rview over different notions of edge states in complex systems and numeric
 al algorithms to compute them. I will show examples from phase separation 
 in the Cahn-Hilliard equation\, transitional pipe flow and the tranition t
 o turbulence\, atmospheric jet formation\, and metastable climate regimes 
 in Earth's climate.
LOCATION:Center for Mathematical Sciences\, Lecture room MR11\, or https:/
 /maths-cam-ac-uk.zoom.us/j/98016675669
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