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Equilibria are found by setting the time derivative to zero, which means finding the roots of the right-hand side function. By plotting $f(z) = 4z - z^3$, the equilibria correspond exactly to the points where the graph intersects the horizontal z-axis.

Conditions: The differential equation is autonomous, meaning the right-hand side depends only on z.; Equilibria are defined as constant solutions where $dz/dt = 0$.

Equilibria are found by setting the time derivative to zero, which means finding the roots of the right-hand side function. By plotting $f(z) = 4z - z^3$, the equilibria correspond exactly to the points where the graph intersects the horizontal z-axis.

Conditions: The differential equation is autonomous, meaning the right-hand side depends only on z.; Equilibria are defined as constant solutions where $dz/dt = 0$.