To the self-organisation problem: a model of formation of the complicated functional systems

A model describing the forming of some patterns with prescribed properties which consist of the given types of elements is proposed. This model is based on the approach when the final complicated composition corresponds to a dynamical system formed from “elementary” subsystems. This composition (cascade) can be both a homogeneous one, i.e. it can consist of identical components, and it can have certain nonhomegeneities (defects). As a set of components one-dimensional maps with chaotic behaviour are considered. Therewith, it is required that the whole cascade has the prescribed type of the behaviour. It is shown that only a small part of the obtained nonhomogeneous cascades can possess the given evolutionary regime. On the basis of these results we draw a parallel with the self-organisation problem and formation of complex molecules.