Re: LOG of a solution of ODE plotted against its parameter

On Sep 13, 7:37 pm, john <johnboy98...@xxxxxxxxx> wrote:
On Sep 12, 6:51 pm, matt271829-n...@xxxxxxxxxxx wrote:





On Sep 12, 10:51 pm, john <johnboy98...@xxxxxxxxx> wrote:

Let's say you have an ODE of the form,

y' = a ( y / ( ( y )^2 + b ) ) - c y + d

where a, b, c, d are all parameters.(d =0.1, c =1, b =10, a= 0~40)

I can see how it will be possible to solve the ode many times while
varying the parameter a. (which results in many solutions of that ODE
depending on the values of the parameter a)

But I need to plot the Log(y) against the values of a used to generate
those solution.

In other words, I need to take the solution of the ODE when a= 0 then
take the Log of that solution and plot the Log(y) againt a=0.

then repeat it for a = (0~40) I can do it in steps, but I woud like
to see the continuous solution of it(?)

This ODE is supposed to have bistability over that range of parameters.

You can't "take the Log" of a solution of an ODE -- not in the way you
seem to be describing it anyway. The solution isn't just one number,
it's a relationship between the variables involved.- Hide quoted text -

- Show quoted text -

I was wondering about that myself. Here's the link to the actual
article. that shows a bifurcation graph with Log(f(t)) on y axis.

http://ajpcell.physiology.org/cgi/content/full/274/2/C531#BIBL

let me know what you think.

I think it would take me a very long time to read that paper and
figure out what they are doing and how your question relates to it!

.

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