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Phase portrait

  1. Nov 20, 2009 #1
    How can I construct the phase portrait(with Mathematica) of the following system?
    [tex]\dot{x}(t)=y(t)[/tex]
    [tex]\dot{y}(t)=-x^3(t)+4x(t)y(t)[/tex]
     
  2. jcsd
  3. Nov 21, 2009 #2

    Dale

    Staff: Mentor

    The phase portrait would be four dimensional, so it would be pretty hard to plot.
     
  4. Nov 24, 2009 #3

    Dale

    Staff: Mentor

    Oops, my previous response was incorrect. I didn't notice that this is two first order equations instead of two second order equations. The phase portrait can be easily obtained as:

    StreamDensityPlot[{y, -x^3 + 4 x y}, {x, -1, 1}, {y, -1, 1}]
     
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