I have y a function of x and a parameter k. I use but don't really understand
to plot (stability) k contours in x,y space. Sometimes my contours of different k can cross.
Then I have a complex (mode) function c(x,y,k) magnitude m polar angle a of y,x, and k and periodically along each contour would like to plot this function, for instance as a small vector of length log m and polar angle a?
Is there a way this or something like it can be done in Mathematica? Thank you for reading this and thinking about it.
P.S.2 Now I am thinking to superimpose with Show my existing contourplot with vectorfieldplots of c for eack k with all regions excluded except aceptably close to the contour. Don't know if this will have to be done by hand for each k, or can be automated? Haven't worked out the coding
P.S.1 I have spared you the horror of
y[x,k] which is many lines long involving the Theodorsen function which is a rational function of modified Bessel functions of the second kind of imaginary argument because it is besides the point.