Re: question about what's expected in terms of analysis of a given ODE system

hi sergey. 

thanks for the reply. 

I have tried to visit the website you mentioned few times but it
appears to be inactive.

is there another webpage i can visit? i would love to see how you
solved your system. please post your example by all means. i can't
wait to see it.

thank you so much in advance. 

sean 



[EMAIL PROTECTED] (Sergey Karavashkin) wrote in message news:<[EMAIL PROTECTED]>...
> &#61656;      hello group. 
> 
> &#61656;      I have a newbie question. well a bunch of newbie questions.
> 
> &#61656;      I have a fairly large system of ODE's and i'm in the process
> of
> &#61656;      exploring it's behaviors. but since I'm not a mathematician,(
> but a
> &#61656;      grad student in biology) i was wondering (naturally) if what
> I'm doing
> &#61656;      is how it should be done.
> 
> &#61656;      I'm currently randomly picking parameters to get a general
> idea for
> &#61656;      the system.
> 
> &#61656;      I would love to hear some of your thoughts on what the norm
> is for
> &#61656;      analyzing a large ODE system that has few nonlinear
> equations. (total
> &#61656;      23 ode's and 47 parameters)
> 
> &#61656;      if some of you were asked to analyze a system of this order,
> what
> &#61656;      would you do first?  what would be some of the things or the
> &#61656;      properties you would look for?
> 
> I would:
> 
> 1.    See your system of equations.
> 2.    See your original problem.
> 3.    Check how they correspond to each other.
> 4.    Select the cause, why this problem and its system appear
> unsolvable.
> 5.    Select dominating factors.
> 6.    Try solving the problem, taking into account only dominating
> factors (desirably to reduce the problem to linear system).
> 7.    If success, I would elaborate the solution with variation
> principles till maximally possible amount of affecting factors.
> 8.    Reveal dominating nonlinear factors and to try solving the problem,
> taking into account their affection.
> 9.    If success, I would elaborate the solution with variational
> principles till maximally possible amount of affecting factors.
> 
> Examples, how do we solve our problems and systems, you can see in our
> e-journal
> 
> http://angelfire.lycos.com/la3/selftrans/index/index.html
> 
> Good luck,
> 
> Sergey.
> 
> &#61656;      Would you try to reduce the system only under steady state?
> but that's
> &#61656;      not dynamical system analysis.. or is it?
> 
> &#61656;      would you look for bifurcations in all the parameter pairs? 
> and will
> &#61656;      that be possible?
> 
> &#61656;      any and all thoughts are thoroughly appreciated. 
> 
> &#61656;      sean