Full Article: PDF
Scientific Object Identifier: http://s-o-i.org/1.1/TAS-12-152-11
DOI: https://dx.doi.org/10.15863/TAS.2025.12.152.11
Language: Russian
Citation: Hidirova, M., & Ubaydullayeva, B. (2025). Mathematical modelling regulatorics of educational ecosystem in the context of digital transformation. ISJ Theoretical & Applied Science, 12 (152), 60-65. Soi: https://s-o-i.org/1.1/TAS-12-152-11 Doi: https://dx.doi.org/10.15863/TAS.2025.12.152.11 |
Pages: 60-65
Published: 30.12.2025
Abstract: This article deals with the modeling of the regulatorics of the educational process based on the ORASTA concept, integrating project-based, event-driven, and systems-oriented approaches. Depending on the objectives addressed, the study considers functional–differential equations of regulatorics incorporating time delays, advances, as well as temporal stretching and compression. The proposed methodology includes monitoring mechanisms designed to identify complex dynamic regimes, such as limit cycles, irregular oscillations, “black hole” effects, and r-windows. These phenomena may indicate the emergence of instability or a loss of controllability within educational systems operating in the context of artificial intelligence, digital transformation, and big data.
Key words: regulatorics, educational ecosystem, nonlinear dynamics, limit cycles, irregular oscillations, “black hole” effects, r-windows.
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