The equation of a dynamic system shapes:

*dX/dt = F(a, X, t)* where

This system is in autonomy, if *F(a, X, t)* doesn't depend on *t*.

If X0 is an equilibrium point, then, with no perturbations, the solution's constant. So they are given by:

DX/dt=0

The bifurcation diagram give us the zones of stability and instability.