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We study cosmological dynamic equations of two-field phantonical models, using standard approach for constant potential in finding exact solutions. New method we proposed for reconstruction non-constant exponential potentials supporting given evolution of scale factor. The exact solutions for different types of inflation represented in explicit form. Criteria for limiting possible types of inflationary dynamics are formulated within the framework of the proposed approach. It is shown that thesedoi:10.48550/arxiv.2112.09359 fatcat:bmcq5frzargn3e66kbsuujrvse