Resumen
A dynamic model of multiple interactions of n-elements of a complex mobile communication system is developed, which takes into account the nature of inter-element communications and phase states of the grouping of electronic devices. The model describes the electromagnetic environment of the grouping of electronic equipment in the state space during group use of a frequency resource.The simulation of the dynamics of interaction and phase states of the grouping of electronic equipment is done with the group use of the frequency resource.It is shown that at sufficiently large values of the growth coefficient of the number of electronic devices, both a sharp increase in the level of interaction intensity and a sharp decrease characteristic of those situations that occur in mobile communication systems during the busy hours in places of high density of mobile users can occur.The analysis of the dynamics of the grouping of radio-electronic means of a mobile communication system at different intensities of linear and non-linear multiple interactions, the combined nature of which is displayed by the normalized value of the signal/(jam+noise) ratio, is carried out. The dynamics of non-equilibrium states of the groups of 2 mobile networks at various values of the intensity of interactions is considered.It is established that the non-equilibrium state of the mobile communication system occurs when the total level of the group influence of the emitting devices on the receiving devices increases with a normalized value of the interaction intensity of more than 1.4.The conditions are identified under which the grouping of radio-electronic means of a mobile communication system can function without deterioration of quality indicators, characterized by the total level of group influence of radiating devices on receiving devices, under conditions of optimal frequency resource distribution.It is shown how, using the non-linear Volterra system, which simulates the dynamics of the interactions of a grouping of electronic equipment, it is possible to analyze its state in the future. This model allows to analyze the grouping of electronic equipment with various specific parameters of individual types of electronic equipment, the nature and intensity of their interaction in the group with the current distribution of resources