COMPREHENSIVE ANALYSIS AND COMPARATIVE TYPOLOGY OF AI SERVICE CONSUMPTION STRATEGIES IN UKRAINE, THE USA, AND THE WORLD BASED ON NONLINEAR DYNAMICS METHODS

Анотація

The article conducts a comprehensive study of the dynamics of key stakeholders' information interest in generative artificial intelligence services based on the monitoring of search query frequencies in the online environment. The relevance of the work is driven by the irreversible transformation of the global society's information architecture and the critical need to develop adaptive tools for analyzing the demand for intelligent technologies under conditions of high uncertainty. In the contemporary context of global digitalization, the development of intelligent systems has taken on an exponential character, rendering traditional static market analysis methods insufficient. Within the scope of the study, questions are raised regarding the degree of persistence in popularity trends of systems such as ChatGPT, Gemini, Claude, and Grok, as well as the presence of time lags in the perception of these technologies across different territorial levels. The methodological framework of the research is based on a combination of nonlinear dynamics methods and multivariate statistical analysis. In the course of the work, Hurst exponents were calculated, allowing for a quantitative assessment of the persistence of time series representing the popularity of leading services – ChatGPT, Gemini, Claude, and Grok – across territorial segments including Ukraine, the USA, and the world as a whole. The application of cross-correlation analysis and time lag estimation facilitated the identification of the innovation diffusion rate and revealed latent delays in technology perception between global and local markets. Particular attention is paid to the typification of AI services using hierarchical clustering and the iterative k-means method within a three-dimensional feature phase space (persistence, time lag, and mutual correlation). This approach enabled the classification of artificial intelligence services based on their levels of inertia and trend stability, as well as an assessment of whether local AI market segments evolve as part of a single global system or exhibit signs of detached structural evolution.

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