Recurrently – Automatons Methods in the Analysis of the Laws of Functioning of Discrete Dynamical Systems

Abstract

The paper considers the laws of functioning of discrete dynamical systems. The special theoretical apparatus of geometrical images of automata is used for formal representation of the laws of functioning. Specific processes of system functioning and the law of functioning of the system as a whole are defined by geometric curves and numerical sequences. The spectrum of dynamic parameters of the recurrence definition of numerical sequences is used to build estimates of the complexity of processes and laws of functioning.