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PRODID:UW-Madison-Physics-Events
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SEQUENCE:0
UID:UW-Physics-Event-3051
DTSTART:20130910T170500Z
DURATION:PT1H0M0S
DTSTAMP:20260419T212306Z
LAST-MODIFIED:20130829T200531Z
LOCATION:4274 Chamberlin
SUMMARY:Multistability and hidden attractors\, Chaos & Complex Systems
  Seminar\, Clint Sprott\, UW Department of Physics
DESCRIPTION:One characteristic of nonlinear dynamical systems is that 
 they can have more than one stable equilibrium. Perturbations of the v
 ariables or changes in the parameters can cause the system to abruptly
  switch from one equilibrium to the other from which it is hard to rec
 over (what Al Gore calls a &amp\;quot\;tipping point&amp\;quot\;). Fur
 thermore\, equilibria can become unstable and give birth to periodic o
 scillations and even chaos. Hence\, in addition to static attractors\,
  there can be limit cycles and strange attractors\, and several such a
 ttractors can coexist in even simple systems. Sometimes these attracto
 rs are &amp\;quot\;hidden&amp\;quot\; in the sense that they cannot be
  found by starting from the vicinity of an unstable equilibrium. Such 
 hidden attractors can be catastrophic if the system is a building\, a 
 bridge\, or an airplane wing. Examples of such behavior will be illust
 rated in very simple systems of differential equations and with simple
  demonstrations.
URL:https://www.physics.wisc.edu/events/?id=3051
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