Search Results

You are looking at 1 - 2 of 2 items for

  • Author or Editor: Marek Szydłowski x
  • Refine by Access: All Content x
Clear All Modify Search

Abstract  

In this paper we analyse the growth in scientific results of natural sciences in terms of infinite dynamical system theory. We use functional differential equations to model the evolution of science in its sociological aspect. Our model includes the time-to-build of fundamental notions in science (time required to understand them). We show that the delay parameter describing time required to learn and to apply past scientific results to new discoveries plays a crucial role in generating cyclic behaviour via the Hopf bifurcation scenario. Our model extends the de Solla Price model by including death of results as well as by incorporating the time-to-build notion. We also discuss the concepts of knowledge and its accumulation used in economic growth theory.

Restricted access
Scientometrics
Authors: Marek Szydłowski and Adam Krawiec

Abstract  

We have developed a way of describing the increase with time of the number of papers in a scientific field and apply it to a data base of about 2000 papers on symbolic logic published between 1666 and 1934. We find (a) a general exponential increase in the cumulative total number of papers, (b) oscillations around this due to the appearance of new ideas in the field and the time required for their full incorporation, and (c) exogenously caused fluctuations due to wars and other non-scientific events.

Restricted access