In the development of chaos theory, the so-called logistic map played a fundamental role. This formulation was used by mathematician James Yorke and biologist Robert May for a variant of the linear dependence of a simple mathematical model of population growth.
In the process of population development, logistics is a regulator that keeps population growth within certain limits. The logistic map is useful not only for forecasting population size. Mitchell Feigenbaum developed a theory of universality, according to which mathematical models of nonlinear dynamic processes, whether biological, economic, or physical, proceed in the same way. The logistic map is worth knowing, as it allows for the explanation of peculiar process courses with planned flow parameters.
In the process of population development, logistics is a regulator that keeps population growth within certain limits. The logistic map is useful not only for forecasting population size. Mitchell Feigenbaum developed a theory of universality, according to which mathematical models of nonlinear dynamic processes, whether biological, economic, or physical, proceed in the same way. The logistic map is worth knowing, as it allows for the explanation of peculiar process courses with planned flow parameters.
The article comes from the magazine “Logistyka” 2003/6.