Research of the dynamics of a non-binary system with a directed influence

This project concerns the mathematical modelling of the dynamics of a non-binary multi-agent system under directional influence, which can be useful in sociology, mechanics and biology. For specific modelling, a graph was used, the nodes of which can be in three states and are updated using a 2-choice majority algorithm in an asynchronous mode. The obtained results show what level of directional influence is critical for the model system stabilisation. It was determined that a lower bound and, under certain restrictions, an upper bound on the investigated model system average stabilisation time (consensus time). A programme for computer simulation of the process of reaching consensus by the model non-binary system was created and used in the project and results with theoretical and practical value were received.