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Stochastic Dynamical Systems and Control |
| March 26, 2007 to March 30, 2007 |
| Organized By: Jonathan Mattingly (Duke), Igor Mezic (UCSB-Chair), Andrew Stuart (Warwick) |
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| Parent Programs: |
| Dynamical Systems |
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| Return to Workshop Description |
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A propagation-of-chaos type result in stochastic averaging
Monday March 26, 2007
03:30PM - 04:30PM
Speakers:
Richard Sowers
Abstract:
Stochastic averaging goes back to Khasminskii in the 1960's. The
standard result is
that, given a separation of scales, one can find effective dynamics
for slow components.
We investigate the motion of two particles in such a system, in
particular in a randomly-perturbed twist map. The nub of the issue
is how two points escape from a 1-1 resonance zone. Results of Pinsky
and Wihstutz
indicate that there is a third scale at work, which we can use to study
the escape from resonance.
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