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Как сочетаются изменчивость и устойчивость поведенческой вовлеченности: взгляд с точки зрения теории сложных динамических систем
The study focuses on the formation and stabilization of engagement, particularly its behavioral component, from the perspective of complex dynamic systems theory. The study proposes a five-stage model of engagement dynamics that describes the process of engagement development and gradual consolidation. Using digital trace data, we identified the attractor states for engagement (high, moderate, and low levels) and achievement (high and low levels), with extreme states demonstrating the highest stability. Analysis of engagement and achievement together revealed dominant joint attractor configurations: productive (high engagement — high achievement) and unproductive (low engagement — low achievement) cycles, as well as a transitional state (moderate engagement — low achievement). The findings deepen understanding of engagement formation and consolidation mechanisms, demonstrating how behavioral and academic patterns self-organize into stable trajectories within online learning environments.