Bruce approved Miller:
It seems like StreamPlot and ListStreamPlot pick convenient stream lines to draw.
Is there a way to specify specific stream lines in StreamPlot?
in documentation to figure out how.
Specify lines by giving points on them. Note that the lines are extrapolated forward and backward from the starting points.
In the plot, the starting points are indicated by red dots. data = Table[{{x, y}, {y, x - x^2}}, {x, -1.5, 1.5, 0.2}, {y, -2, 2, 0.2}];
ListStreamPlot[data,
StreamPoints -> {{-1.5, 1.6}, {0.0, 0.5}, {1.4, 0}},
Epilog -> {PointSize, Red,
Point[{{-1.5, 1.6}, {0.0, 0.5}, {1.4, 0}}]}]
