Calculation methods of transient processes in growing networks with non-linear preferential attachment rule

The problem of calculating transient processes in growing stochastic networks with non-linear preferential attachment rule is solved. Network growth dynamics equations are derived. Numerical methods for prompt calculation of transient processes in networks and specified network nodes are developed. The examples of the transient processes calculation are given. The proposed methods are confirmed by the results of simulation modeling. The use of developed methods allow to solve the problems of dynamic identification of the growing networks and regulation of the development processes.