expected values given randomly perturbed dynamical system
From: ames kin (ames_kin_at_yahoo.com)
Date: 10/29/04
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Date: 29 Oct 2004 14:48:37 -0700
how do I obtain them?
sorry for newbie question. but i find it difficult to do this on my
own as i'm not a mathematician.
consider a system such as,
{
x'[t] == y[t] - v x[t],
y'[t] == x[t] - d y[t]
}
and let v and d be Random numbers from 0 to 1.
and i can simulate the system over random parameter space many times
and i can average the variable's trajectories.
things i want to know are...
1. is this an example of monte carlo simulation? if so, what
reference(s) suggest that?
2. there is an expected values for v and d? what does it mean
intuitively?
3. is there expected values for x and y as well?
4. do x,y as well as the parameters v and d have expected values?
thanks in advance for some help.
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