MODELING THE MOVEMENT OF COTTON SEEDS IN THE LINTING PROCESS AND THEIR MATHEMATICAL ANALYSIS

This scientific article addresses the issues of mathematical modeling and analysis of the movement of cotton seeds in the linting process. The random movement of seeds in the linting chamber is highly complex, and their trajectories can be described by a system of nonlinear differential equations. The Poincaré–Bendixson theorem is applied in the article to determine the existence of isolated periodic trajectories. Based on this mathematical model, the movement of seeds in the linting chamber was analyzed, and the results allowed for the characterization of equilibrium points and closed seed trajectories.