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The flows of phase trajectories of cosmological models based on the vacuumclassical Higgs field and their behavior on the Einstein-Higgs surface nearsingular points of a dynamical system are investigated by numerical simulation.The influence of the singular points on the process of phase flow splitting isshown and the efficiency of the Einstein-Higgs hypersurface application isdemonstrated.

Complete cosmological evolution model of a classical scalar field with a Higgs potential. III. Features of phase trajectory flows