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MathGroup Archive 2007

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Graphing the Separatix

  • To: mathgroup at smc.vnet.net
  • Subject: [mg81945] Graphing the Separatix
  • From: DBK <boydkramer at gmail.com>
  • Date: Sun, 7 Oct 2007 05:34:24 -0400 (EDT)

I am plotting the vector fields for the two equation system below
using version 6. I have two questions.
1. How do I plot the separatix (i.e. stable manifold) separating the
two basins of attraction?
2. How do I show the dynamics of the system with curved rather than
straight vectors?

Needs["VectorFieldPlots`"];
p1 = 0.28;
p2 = 0.7;
p3 = 0.8;
p4 = 0.15;
p5 = 0.7;
p6 = 0.6;
p7 = 6.5;
p8 = 0.3;
aah = 0.00003333;
fields = (VectorFieldPlot[{(p1 a  (p2 - a - p3 c))/p2, (
    p4 c (p5 - c - (p6 a^p7)/(a^p7 + p8^p7)))/p5}, {a, 0, 1}, {c, 0,
    1}, PlotPoints -> 10, ScaleFactor -> None, Axes -> Automatic,
   MaxArrowLength -> 1, VectorHeads -> True])



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