The paper proposes a dynamic model of multiple nonlinear electromagnetic interactions when using the radio resource of a group of radio-electronic means of the 5G-NewRadio mobile communication network. The model describes the electromagnetic environment of multiple nonlinear interactions of a group of electronic means in the state space based on n-elements of a complex system, which considers the nature of interelement connections and phase states, taking into account the intensity of its elements. The analysis of phase states of a grouping of 5G-NewRadio electronic means depending on the intensity of nonlinear interactions of its elements at which the network will function without deterioration of qualitative indicators in the conditions of optimum distribution of a radio resource is carried out. The dynamics of nonequilibrium states of groups of 5G-NewRadio mobile networks at different values of the intensity of interactions of electronic means, the cumulative nature of which is displayed by the normalized value of the signal/(interference+noise) ratio, is demonstrated. It is shown that the nonequilibrium state of the 5G-NewRadio mobile communication system occurs at a normalized value of the interaction intensity greater than 1.4. The article results show that with the help of the proposed mathematical model, which demonstrates the dynamics of multiple electromagnetic nonlinear interactions of electronic means of grouping at different parameters and the nature of the intensity of their interactions, it is possible to analyze the state of 5G-NewRadio network in the future.

Subject: interaction models and phase states in the distribution of the frequency resource in the grouping of radio electronic means of the 5G mobile communication network. Purpose: development of a dynamic model of multiple interactions of n-elements of a complex 5G mobile communication system, which takes into account the nature of inter-element connections and phase states in the group use of the frequency resource. Tasks: on the basis of a complex model of an n-element system with multiple interactions, to develop a mathematical model for describing the electromagnetic environment of a grouping of radio electronic means in a state space with a group use of a frequency resource; to analyze the phase states of interaction of the elements of the grouping system of radio-electronic means of the mobile communication system in which they can function without deteriorating the quality indicators, which reflect the total level of the group influence of the emitting elements on the receiving devices, under conditions of optimal distribution of the frequency resource. Methods: mathematical method of the state space of the system, which describes the nonlinear nature and phase states of the system, taking into account the intensity of the interaction of its elements. Results: A mathematical model of the electromagnetic environment of a grouping of radio-electronic devices based on the Volterra model has been developed, which characterizes their nonlinear nature of interactions in the group use of the frequency resource. A recurrent expression is obtained for modeling the assessment of the aggregate nature of electromagnetic interactions in a group of radio-electronic means. Modeling of the dynamics of interaction and phase states of the grouping of radioelectronic devices in the group use of the frequency resource has been carried out. Conclusions: It is shown that using a model that simulates the dynamics of interactions of a group of radioelectronic, it is possible to analyze its state in the future. This model makes it possible to analyze the grouping of radio-electronic means with different, specific parameters of individual types of radio electronic devices, the nature and intensity of their interaction in the grouping with the current distribution of resources.