%0 Journal Article
%T DEGENERATED HOPF BIFURCATIONS IN A MATHEMATICAL MODEL OF ECONOMICAL DYNAMICS
%A Laura Ungureanu
%J Mathematics and its Applications : Annals of the Academy of Romanian Scientists
%D 2011
%I Academy of Romanian Scientists Publishing House
%X 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.
%K nonlinear dynamics
%K Hopf bifurcation
%K normal form
%K Liapunov coefficients
%U http://www.mathematics-and-its-applications.com/preview/july2011/data/14_Ungureanu_L.pdf