I am trying to figure out if multiple parameter system ODEs, can be modeled using Parallelize and StreamPlot.
For example, we have:
Parallelize[
Map[StreamPlot[#, {x, -3, 3}, {y, -3, 3}] &,
Flatten[Table[ {x^i y^j, x^j y^i}, {i, 2}, {j, 2}], 1]]]
Is there a slick way to use this command to better visualize stream plots for a system like
$$dx/dt = (a-by)x \\ dy/dt = (cx-d)y$$
It has four parameters, so I was wondering if we can use parallelize to fix a parameter at a time and visually see a bunch of stream plots?
