The World System History Periodization and Mathematical Models of Socio-Historical Processes

In the article published above (pp. 10–38) Grinin suggests that if we calibrate his index, "the curve of historical process acquires a hyperbolic (Diagram 6) rather than exponential shape (as in Diagrams 1–4), which indicates that we are dealing here with a blow-up regime" (pp. 26–27). We shall start this article with an attempt to identify what the shape of the curves presented by Grinin in Diagrams 5 and 6 is closer to – to a hyperbola, or to an exponential?