Proceedings of the International scientific and practical conference “Science in the Modern World” (January 19-21, 2026) / Publisher website: www.naukainfo.com. - Cambridge, United Kingdom, 2026. - 203 p.

38 from bifurcation points to processes of self-organization or the destruction of the economic system. In general, the influence of the indicator lambda on the dynamics of the efficiency of the functioning of the country’s economy can be reflected as follows (The influence of the indicator lambda on the economic development of the country’s economy): Decline; Stability; Growth (damping oscillations); Growth (uniform fluctuations). Growth (explosive fluctuations). Establishing numerical values of the boundaries of each stage of economic development is a non-trivial task. To achieve this, it is necessary to have accumulated statistics on the country’s economic efficiency indicator over a long period. The economy of Ukraine doesn’t have adequate models for describing its functioning. In addition, the sample on which the modeling will be carried out should be cleaned of the influence of non-economic factors (political, environmental), which have had a fairly significant impact on the economy throughout the country’s existence. A statistical study conducted to determine the economic essence of the parameters that establish the type of dependence y on yt [7,11]. The indicator gamma characterizes the direction of dependence of y on yt: with increasing gamma, a direct dependence. The indicator gamma characterizes the direction of dependence of y on yt. Where increasing gamma acts, the direct dependence of future values of y on previous ones changes to an inverse one. The parameters alpha and beta together affect the type of oscillations, provided that lambda and gamma are stationary. As a result, we obtain the following bifurcation diagram, Fig. 3, which confirms the influence of intellectual capital on economic value added and the emergence of a bifurcation point of transition to a new level of EVA growth. One of the properties of the generalized logistic representation of the model is the transition from order to chaos through bifurcations of the doubling period change in the parameter lambda. To construct a bifurcation diagram of the country’s economic development, it is necessary to investigate the nature of the dynamics of