Review article

The article discusses the application of chaos theory to analyze bifurcations in construction systems, when small deviations in the parameters of such systems can lead to dramatic changes in their state, causing cascading failures, deadlines and budget overruns. Mathematical models describing critical states of construction projects are given, and the key parameters influencing the emergence of chaos are analyzed. Methods of predicting and preventing bifurcations using mathematical modeling and adaptive control are considered. The proposed approaches are aimed at improving the stability of construction systems, minimizing risks and optimizing resource planning.