Innovation Development of an Enterprise: Modeling Dynamics

Abstract

The methodology of building a model of management of innovative processes, taking into account self-organization, is considered. The object of the research is a complex dynamic system, between each element of which there is both a positive and a negative feedback. To build a dynamics model, the mathematical apparatus of the theory of differential equations was applied, which made it possible to consider the development of the innovation process in continuous time. With the help of the tools of nonlinear dynamics, a study of the stability of the diffusion of innovations was carried out depending on the parameters of the controlling influence. The conditions for the transition of the system to a critical state, which may be accompanied by the appearance of bifurcations and chaos, are determined. Particular attention is paid to determining the structural stability of the regulated innovation process in the case when both equilibrium positions are close in parameter values.