expected values given randomly perturbed dynamical system

From: ames kin (ames_kin_at_yahoo.com)
Date: 10/29/04


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.