A method is proposed for identification of the static characteristics of the synthesis gas generators, allowing us to obtain the dependences of the output variables - mass flow components of the synthesis gas (hydrogen and carbon monoxide) - on the input variables - the mass flow of hydrocarbon fuel and oxidizer. The technique is illustrated by calculation of the characteristics of the original high-energy managed core engine of STS type, in which diesel fuel and oxygen are treated as the initial feed components. According to the preliminary thermodynamic calculations of the hydrogen-containing gas at the outlet of the combustion chamber of STS models, the obtained mass flow increments the components of the synthesis gas in the vicinity of the nominal technological mode, allowing calculation of the output characteristics of the STS as an object of regulation. The presentation models were confirmed by the linear dependencies. A relative invariability to the variations in the parameters of the models of a fractionary oxidation mode was proved. The models, which were obtained for example, are applicable for a given pair of the input components, but have sufficient flexibility, as they permit to take into account the scale factor - the core engine efficiency. The proposed method of identification and the obtained models based on it allow a synthesis of the control laws for the fractionary oxidation process and simulation modes of the core engine. In particular, these models can be used for an optimal automatic control of the performance of the core engine, while ensuring the desired ratio of the synthesis gas components, which is especially important when the hydrocarbon fuel is used as the APG with an unstable composition.