7. Some problems on “classical chaos”

Abstract

In the community of “chaos” theory, a phenomenon, appearing in the study of a modified population evolutionary model, i.e. “one‐dimensional iteration”, under certain restrictions, is called “classical chaos”. In fact, the properties of this model can be discussed through the study of mathematical properties of quadratic forms of the first order, for more about this end, see OuYang et al. (1988). Logistic curves are special cases of population models under local conditions. The general characteristics of this model contain blown‐ups, which describe the special characteristic of population evolutions: “things will develop in the opposite direction when at extremes”. The phenomenon called “classical chaos” in the community of “chaos” theory, or Li‐Yorke Theorem in systems science, needs to be reconsidered.

Citation

OuYang, S. and Lin, Y. (1998), "7. Some problems on “classical chaos”", Kybernetes, Vol. 27 No. 6/7, pp. 691-700. https://doi.org/10.1108/03684929810223094