Розробка програмної системи для дослідження біфуркацій в технічних системах

Abstract

The Master's qualification work is devoted to the development of a software application for the analysis and modeling of chaotic time series, for modeling reliability based on models with chaotic uncertainty. The program allows to determine the dimension of attractors m, optimal delay  and Lyapunov index . The program allows you to construct Lamerey diagrams and bifurcation trees. The novelty of the development lies in the fact that a new method for modeling chaotic numerical series based on a neuro-fuzzy approximator is proposed. Using the parameters of a phase portrait of chaotic time series can significantly improve the accuracy of modeling. A new method for reliability modeling based on chaotic uncertainty models is also proposed. The software application was implemented by means of the C # programming language in the Visual Studio 2015 programming environment. Windows Forms technology was used to construct the graphs.