Re: suggest an easier text ??

From: ames_kin (ames_kin_at_yahoo.com)
Date: 11/19/04 

Date: Fri, 19 Nov 2004 02:22:51 +0000 (UTC)

>> The following book seems useful for what I'm doing currently.
>>
>> Author Freidlin, M. I. (Mark Iosifovich)
>> Title Random perturbations of dynamical systems / M.I. Freidlin, A.D.
>> Wentzell ; translated by Joseph Szücs
>> Published New York : Springer-Verlag, c1984

>I am not familiar with this text. Can you elaborate a little bit on
>what you are trying to do/learn? Are you trying to get over a
>specific hump, or are you trying to learn a broad section of
>stochastic processes?

I'm modeling a biological system using differential equations, but biological systems are stochastic.

Naturally, I want to use stochastic processes to model it.

Typically, people seem to be using death/birth processes, or queing process for such purpose.

Now I want to understand those examples and apply it to my own research.

First I thought I could use Stochastic ode, except it's too difficult to solve.

So I have turned to monte carlo simulation of randomly perturbed dynamical system. and doing statistical analysis of the outputs.

What I want/need is to see some examples of such methods applied to various modeling projects, so I would know if I'm doing things properly.

the questions i have are...

1. What is the proper way to randomly perturb a dynamical system?

2. what type of statistical analysis is proper for randomly perturbed dynamical systems?

3. Mutivariate analysis vs univariate analysis? How are these performed? when are they appropriate?

That's where the book came in, except it's over my head...

I hope that's a bit clearer on what I need than my previous posts.

let me knwo if something doesn't sound right.