Methods of Symbolic Analysis of Dynamic Systems

Methods of symbolic analysis enable obtaining a considerable body of useful information on a dynamic system with a minimum of data for the system itself. In this paper, a number of problems solved with the aid of symbolic analysis methods are set out and basic definitions of symbolic dynamics are given. An algorithm for producing a symbolic image of the dynamic system and one of the methods of the symbolic image analysis, namely, the method of localization of positively and negatively invariant sets are considered. An example of the functions of the given method with the aid of a software tool developed by the author is displayed.

Presented by the member of Editorial Board: L. A. Mironovskii