Abstract
Specific features of simulating a system that experiences structural changes in the course of its development are studied by the example of a controlled biological population. The problem of whether nonattracting chaotic sets can arise in dynamic systems with more than one attractor is considered in this context. The formalism of hybrid automata as applied to simulation problems of biological processes is described. Specific features of the phase portrait of the developed dynamic model are characterized by locally disconnected boundaries of basins of attraction of two attractors. The conclusion on limited predictability of the dynamics of some controlled natural systems is made, which is a consequence of uncertainty with respect to the motion of the system towards one of possible stable states.
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