THEORETICAL MODEL OF OPTIMAL CONTROL OF BEHAVIORAL CULTUROGENESIS FOR ACHIEVING UN SDGs / ТЕОРЕТИЧЕСКАЯ МОДЕЛЬ ОПТИМАЛЬНОГО УПРАВЛЕНИЯ КУЛЬТУРОГЕНЕЗОМ ПОВЕДЕНИЯ ДЛЯ ДОСТИЖЕНИЯ ЦУР ООН

This paper presents a theoretical model for optimal control of behavioral culture genesis in achieving Sustainable Development Goals (SDGs). The model is based on a system of differential equations describing the dynamics of cultural capital, behavioral patterns, and value orientations. The methodology includes analysis of cultural transformation cases from developed countries with diverse cultural characteristics, as well as a detailed synthesis of modern optimal control theory and key concepts of cultural economics. A mathematical apparatus is proposed for quantitative assessment of cultural pollution and its comprehensive impact on SDG achievement. Effective methods for empirical verification of the model and mechanisms for cross-cultural adaptation have been developed. The obtained research results can be successfully applied in forming long-term cultural policy and systematic evaluation of its effectiveness in the broad context of sustainable development.