Mathematical model of activity of small innovation firm. Phenomenon of ‘latent bankruptcy’

This paper is devoted to investigation of nonlinear phenomena in microeconomics. The mathematical model of innovation firm activity is proposed. This model is based on the dynamical system. The bifurcation analyze and analyze of the critical points were investigated. The phenomenon of latent bankruptcy was found. Also the influence of such factors as taking credit, development of new good and increasing of transaction costs on topology of phase space was realized.