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Eris
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Phase diagram method

I was trying to find the famous attractor solution of the inflaton field which follows the equation

$$\frac{d\dot{\phi}}{d\phi}=-\frac{\sqrt{12\pi}(\dot{\phi}^2+m^2\phi^2)^{1/2}\dot{\phi}+m^2\phi}{\dot{\phi}}$$

in ''Physical Foundations of Cosmology by Viatcheslav Mukhanov'' the author claims the equation can be studied using the phase diagram method and the behavior of the solutions in the $\phi$-$\dot{\phi}$ plane is shown in Figure 5.3 enter image description here

How does one reached such a plot? I tried solving the differential equation using Wolfram Mathematica but it couldn't generate a single point.

Eris
  • 101
  • 8