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I found similar questions like this topic to find all intersection of 2 curves[1][2], In all of them we have functions, but what if we want to find these crossing points for non-functions curves? Here is an example:

enter image description here enter image description here

to plot I wrote:

plt.plot(Enull,x, '-',label='E nullcline') 
plt.plot(x,Inull, '-',label='I nullcline')

I replaced I in E to have a one-variable function, then I used fzero to find the intersections. If I have the approximate value of E say : cross = np.array([0.05,0.1,0.45]) , the problem is solved. So the question is how to find these approximate values of crossing? Thanks for any guide.

python code in my dropbox

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Abolfazl
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  • if I rotate the figure it is a function. then it's enough to subtract two cures. Here two curves don't have the same x values(if we take the vertical axes as x) for each x value I should find corresponding y value(horizontal axis as y). programming become a little awkward.I think there should be a better way. – Abolfazl Sep 03 '16 at 20:35

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