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Mathematical modelling of nonlinear dynamic systems

. Attracting sets for systems of ordinary differential equations, which arise in multiple applications, are constructed. The six-dimensional system is in the focus. The construction is based on previously obtained attractors for systems of orders two and three. First, the uncoupled six-dimensional system is considered. Adding some additional elements makes this system coupled. The attractors, however, remain in a modified form. The graphs of all six solutions are provided as visual evidence of the existence of attractors.