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Purpose. To prove the possibility of improving the procedure for analyzing and forecasting the dynamics of economic systems through the comprehensive use of scientific achievements of chaos theory, namely: checking the trend stability of time series, studying their phase space, attractors, Lyapunov’s chaos indicators, the maximum length of a reliable forecast of the socio-economic system development, etc. Methodology. The methodological basis of the study is the provisions of modern economic theory, in particular, statistics, economic and mathematical modeling and forecasting, economic cybernetics and systems theory, fundamental works of foreign and domestic scientists on the issues of fractal analysis and chaos theory. Findings. The phase and fractal analysis of the dynamics series of chain and basic growth rates of industrial production in Ukraine was carried out, and their fractal dimension was determined. The correlation function was calculated and Lyapunov’s indicators were found to assess the degree of chaotic system, Kolmogorov entropy, and the parameter of evolution in time. The maximum length of a reliable forecast and the future values of the time series were also determined. Originality. The article substantiates the necessity and possibility of applying the methodological apparatus of chaos theory in the process of analyzing and forecasting economic dynamics, including the development of domestic industrial production. Practical value. The value of the work is determined by the applied aspects of reliable forecasts of chain and basic growth rates of industrial production in Ukraine obtained on the basis of the chaos theory tools, the possibility of comparative analysis of the domestic industry development in “potential peacetime” and actual wartime. [ABSTRACT FROM AUTHOR]