Since it may affect people that have not seen 
https://github.com/sagemath/sage/pull/38924, I'm asking here whether the 
output

            sage: P.<x,y> = ProjectiveSpace(Qp(3), 1)
            sage: f = DynamicalSystem_Berkovich([2*x^2, 2*y^2])
            sage: f.normalize_coordinates(); f
            Dynamical system of Projective Berkovich line over Cp(3) of 
precision 20
             induced by the map
              Defn: Defined on coordinates by sending (x : y)
               to ((2 + O(3^20))*x^2 : (2 + O(3^20))*y^2)

instead of Defn: Defined on coordinates by sending (x : y) to (x^2 : y^2)

is acceptable.

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