ABSTRACT

The sequence X n + 1 = λX n(1 - X n) is well known and it is often used as a model of complex behavior in economics, biology etc.. The universality of this model was shown by M.Feigenbaum. This is model with discrete time. It is interesting to consider some analogues with continuous time i.e., some functions of real argument with recurrent formula F(x + 1) = λF(x)(1 - F(x)).