System (10) for the injection moulding of plastic material according to anyone of the preceding claims, characterized in that said control means (23, 24) are adapted to control in real time, through said heating inductor (21), the temperature (T, T+, T−) of the zone of said circular diaphragm (13), during the injection phase of the plastic material (MP) into the mould (11), also by taking into account the characteristics (D-1, T1, T2, T3, T4, D-2), in particular physical and rheological (D-2, G′, G″, tan(d)), of the plastic material (MP) that is used to mould the piece (PZ, PZ-10).