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Is there an algorithmic way of drawing phase portraits by hand?

  1. Nov 18, 2013 #1
    I have trouble understanding how to draw phase portraits. Is there a good pedagogical overview of their basics (such as elliptical vs hyperbolic orbits, separatrices etc.), along with an algorithmic way of how to draw them when it is not easy/possible to find v(x)? Basically something explaining how to draw phase portraits directly from the physics of the problem without having to do much math.
     
  2. jcsd
  3. Nov 18, 2013 #2

    Simon Bridge

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    Nope - you just have to do the math.
    Once you have got used to how they tend to turn out, you can use that experience to make educated guesses - where you only need a sketch.
     
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