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At present, the analytical methods for analysis of stability of automatic control systems are sufficiently, well developed.These are different frequency criteria of absolute stability[1-3].But quite another situation holds in the case of analysis of periodic and chaotic oscillations of control systems.The method of harmonic linearization (describing functions method), being also frequency in form.has considerable restrictions and the results beyond these restrictions can be wrong.The method of harmonic linearization, numerical methods, and the applied bifurcation theory together discover new opportunities for analysis of periodic oscillations of control systems [4-6].