Definition

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.

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

DX/dt=0

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

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