Bound 3D function with asymptote

I want to plot the function where . The function has an asymptote at so the z-axis continues very high if I use the following code (see figure for output):

syms x y
fsurf(exp(x)/(x^2+y^2))

I want to plot over a similar domain, or slightly smaller, but then have an upper bound such as at . I tried doing this by adding the line

zlim([0, 15])

which gave me more or less the shape that I want.

However, MATLAB is still calculating the colours based off the original figure, so everything is blue. How can I make MATLAB plot something similar to the second figure, and but also calculate colours based on the second figure. That is, not by simply trimming the first one.

Thank you!

Answer 1

[John D'Errico]

Your problem is that zlim ONLY limits the plot axes. It does not impact the shape of the surface itself. Instead, define the surface as:

syms x y
fsurf(min(exp(x)/(x^2+y^2),15))

Do you see that here I created the function so that it is itself limited? Now the plotting tool is happy.

[Jojo]

Perfect thank you.

Answer 2

[Walter Roberson]

caxis([0 15])