BEGIN:VCALENDAR
VERSION:2.0
CALSCALE:GREGORIAN
PRODID:UW-Madison-Physics-Events
BEGIN:VEVENT
SEQUENCE:1
UID:UW-Physics-Event-4899
DTSTART:20181120T180500Z
DTEND:20181120T190000Z
DTSTAMP:20260419T075652Z
LAST-MODIFIED:20181018T233912Z
LOCATION:4274 Chamberlin (Refreshments will be served)
SUMMARY:Ergodicity in chaotic oscillators\, Chaos & Complex Systems Se
 minar\, Clint Sprott\, UW Department of Physics
DESCRIPTION:The harmonic oscillator is the simplest and most common no
 ntrivial dynamical system. The prototypical mechanical example is a ma
 ss suspended by a spring\, but the same dynamics occur in most musical
  instruments\, many electronic devices\, models of economic and ecolog
 ical systems\, some chemical reactions\, and many other real-world sys
 tems. However\, most oscillations in nature are not simple but rather 
 exhibit aperiodic fluctuations such as the weather and the stock marke
 t. I will describe a new model of a chaotic oscillator whose behavior 
 is identical to a harmonic oscillator in equilibrium with a source of 
 heat at a constant temperature. It represents the culmination of a 30-
 year search for an elegant chaotic model whose solution is ergodic and
  whose variables accurately exhibit a normal (Gaussian) distribution a
 s expected for a truly random process.
\n
URL:https://www.physics.wisc.edu/events/?id=4899
END:VEVENT
END:VCALENDAR