Аннотация:
This paper considers the processes in maps, which are examples of nonlinear dynamical
systems. Analysing dynamical systems, it is necessary to take into account and analyze
properties of iterative functions that determine the length of nonrepetitive iterative process. It
is shown that not only properties of functions, but also properties of numbers from the
considered functions domain influence the nonlinear maps behavior. Also this work consider
nonlinear maps as a background in the analysis of financial data and complex dynamical
systems, such as stock exchange and economics.