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][1]][1]

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


  [1]: https://i.sstatic.net/lhM61.png