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I have two points (0,0) and (5,-5). How can I plot the stability phase diagram for these two points in a single StreamPlot in Mathematica by showing those points with dots?

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    $\begingroup$ What are the equations describing the system you want to plot? $\endgroup$ Commented Mar 24, 2021 at 13:56
  • $\begingroup$ Are these points fix points? If so, a stream plot of the linearized equations about those points will show you if the you have a sink, a source, a saddle, spiral source/sink,... $\endgroup$ Commented Mar 24, 2021 at 17:15

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Without your function we can't give a full answer, but this should suffice:

StreamPlot[{-1 - x^2 + y, 1 + x - y^2}, {x, -6, 6}, {y, -6, 6}, Epilog -> {Red, PointSize[0.03], Point[{0, 0}], Point[{-5, 5}]}] 

enter image description here

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  • $\begingroup$ Thank you. It helps. $\endgroup$ Commented Mar 24, 2021 at 23:19

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