Abstract
In the last decades, the method of a priori integral estimates [1–5] has been developed in the framework of the absolute stability theory. The method is based on the application of Fourier transforms as unitary oper� ators in some function spaces. In this paper, we show that the method can be used to estimate the oscillation periods of discrete control systems. Its application to various mappings gives estimates for the absence of oscillations of period 3. Widely known is Li and Yorke’s thesis [6] that, for
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