DESIGN OF SIGNAL GENERATORS BASED ON DYNAMIC SYSTEMS WITH DETERMINISTIC CHAOS

We consider the design of signal generators based on systems with deterministic chaos. The characteristic features of systems with deterministic chaos in the modeling and construction of the time-inverse solution are given. The concept of reversibility and the algorithm for calculating the reversibility error are described. A methodology for constructing reverse diagrams for an arbitrary mathematical system is presented. The results of the study of the reversibility of the composite method of numerical integration of the fourth order of accuracy based on the Wehrle method in modeling a model of a system with a memristive element are presented. The efficiency of the proposed tools is demonstrated when searching for the parameters of a nonlinear dynamical system in which it maintains a chaotic mode of operation. The advantages of using the proposed tools in the design of signal generators are described. Conclusions are drawn about the applicability of the proposed approach to the design of signal generators for solving various classes of problems.

Authors: S. V. Goryainov, Sh. S. Fahmi

Direction: Informatics, Computer Technologies And Control

Keywords: Signal generator, systems with deterministic chaos, time reversibility, reversibility, numerical integration methods, computer experiment

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