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SUMMARY:Identifying topological chaos using set-oriented methods - Stremle
 r\, MA (Virginia Polytechnic Institute and State University)
DTSTART:20120726T100000Z
DTEND:20120726T104000Z
UID:TALK39075@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:Identifying topological chaos using the Thurston-Nielsen class
 ification theorem (TNCT) is a powerful approach to quantifying and predict
 ing chaos in a variety of fluid systems. This approach is most easily appl
 ied to systems stirred by physical rods\, since the rods can be prescribed
  to move on sufficiently complex space-time trajectories. In many cases\, 
 however\, an analysis based solely on the motion of physical rods cannot c
 apture the full complexity of the flow. Consideration of 'ghost rods'\, or
  material particles that 'stir' the fluid\, can provide the missing inform
 ation needed for an accurate topological representation. Unfortunately\, e
 ven when such low-order periodic orbits exist\, they can be difficult to i
 dentify. We will discuss the use of set-oriented\, or mapping-based\, stat
 istical methods for identifying periodic regions in the domain having high
  local residence time. These 'almost-cyclic sets' can reveal the underlyin
 g topology of the s ystem\, enabling application of the TNCT even in the a
 bsence of low-order periodic orbits. Viscous flow examples show that this 
 approach can provide a good representation of system behavior over a range
  of parameters. \n\n
LOCATION:Seminar Room 1\, Newton Institute
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