Universal regularity of the main spectral component synchronization of interacting oscillators

Abstract

We study the dynamics of oscillators at the chaotic phase synchronization boundary. The universal regularity of the difference between the phases of main spectral components varying in dispersion, as estimated by means of the Fourier transformation, and the length of analyzed time interval is found. The revealed regularity describes the behavior of different classes of systems at all values of the control parameter that belong to the investigated region.