I am looking to include plots in the $x,y$ plane that represent the lines that the fixed points of a dynamical system follow as the variable $l$ is varied. In doing this, I am trying to represent simultaneously, a plot of the phase space with the streamlines. Effectively, in the end, I want to have a scroller where I can vary $l$ and as $l$ is varied, the fixed point on the static lines will follow some dot. Currently, I have got the streamplot which varies as $l$ varies, all I need to do now is somehow include the functions that the fixed points trace out. I just don't know how to do it. This is my current code for the streamplot;
FPStream =
Manipulate[
StreamPlot[
LVA[2, 1, 1.2, 2.1, 0.6, l], {x, -0.4, 0.4}, {y, -0.4, 0.4},
PlotLabel -> Row[{"l = ", l}], GridLines -> Automatic], {l, 0, 2}]
How can I implement these plots?
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– Chris K Jun 02 '20 at 15:02LVAto your question? Do you have an analytical expression for the equilibrium? – Chris K Jun 02 '20 at 15:02Manipulatecodes here, I think I do something like what you want. Anyway, it might give you an idea. – Michael E2 Jun 02 '20 at 17:51StreamPlotwith other plots and graphics. – Michael E2 Jun 02 '20 at 17:59