I have an exercise to linearize the following nonlinear system

$$\dot{x} = A - B x - x y^2$$ $$\dot{y} = A\cdot (x y^2 - y)$$

I tried it with

osz = NonlinearStateSpaceModel[{{A - B*x - x*y^2, A*(x*y^2 - y)}, {x, y}}, {x, y}, {A, B}]

for the input of this system.

How can I linearize this system now?

StateTransformationLinearize[osz] doesnt obviously work, because its not an affine system...