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PRODID:UW-Madison-Physics-Events
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UID:UW-Physics-Event-1460
DTSTART:20090407T170500Z
DURATION:PT1H0M0S
DTSTAMP:20260506T190800Z
LAST-MODIFIED:20090216T144058Z
LOCATION: 4274 Chamberlin
SUMMARY:A search for the simplest chaotic partial differential equatio
 n\, Chaos & Complex Systems Seminar\, Charlie Brummitt\, UW Department
  of Physics
DESCRIPTION:A search for the simplest chaotic partial differential equ
 ation (PDE) concludes that the Kuramoto-Sivashinsky equation is likely
  the simplest chaotic PDE. We enumerate all of the equations with one 
 quadratic or cubic nonlinearity that are "simpler" than the Kuramoto-S
 ivashinsky equation and test them for chaos\, but none appear to be ch
 aotic. Nevertheless\, the search finds a strikingly simple PDE that is
  chaotic in the discrete limit of finitely many\, coupled ordinary dif
 ferential equations (ODEs). Analysis of this finite system indicates w
 hy the chaos vanishes in the limit of infinitely many ODEs.
URL:https://www.physics.wisc.edu/events/?id=1460
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