DEGENERATED HOPF BIFURCATIONS IN A MATHEMATICAL MODEL OF ECONOMICAL DYNAMICS

It is assumed that the dynamics of the capital of a firm is governedby a Cauchy problem for a system of two nonlinear ordinary differential equations containing three real parameters. In this paper we determine a k >= 3 order degenerated Hopf bifurcation point for this economical model. To this aim the normal form technique is used.