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Simulation of the phase plane

  1. May 30, 2014 #1
    The solution's form for the ODE $$\frac{d\vec{r}(t)}{dt\;\;\;\;} = k\;\vec{r}(t)$$ can be generalized like in this diagram: https://upload.wikimedia.org/wikipedia/commons/3/35/Phase_plane_nodes.svg

    Exist some program or some way of adjust some program of math for study the behavior of the solution through of the eigenvalues as parameter?
     
  2. jcsd
  3. Jun 1, 2014 #2
    I think mathematica may be helpful, in my memory, it can draw such a picture.
     
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