60 for the next engine intake phase intake valve 18 behaves as described above it can be noted that for some engine operating ranges such as engine cold operation it may be necessary to reintroduce to the intake exhaust gas that has not been cooled during the intake phase that follows the exhaust phase of fig1 valves 16 and 18 are therefore open throughout the phase the hot exhaust gas contained in pipe 20 and in intake exhaust distributor 36 is fed into combustion chamber 60 through intake valve 16 and the fresh air circulating in circuit c 2 from fresh air supply pipe 46 is fed into this chamber through intake valve 18 thus at the end of the intake phase a stratified mixture of fresh air and of recirculated exhaust gas is present in the chamber by means of the invention it is possible to do without or at least to simplify the conventional egr circuit furthermore it is no longer necessary to bypass the cooler if warm exhaust gas is to be reintroduced to the intake notably for the cold operating range of the engine furthermore when the engine runs without exhaust gas recirculation and with supply air circulation both in pipe 40 and in pipe 42 valve 54 can be used as a swirl control valve so as to feed into the combustion chamber the fresh air in such a way that it is subjected to a rotating motion or swirl around the vertical general axis of the cylinder moreover the double flow cooler allows to avoid or to limit condensation of the steam present in the exhaust gas when the gas flows through this cooler the heat carrying fluid used for cooling the exhaust gas reaches the part of this cooler concerned.