  A method for the quantitative analysis of the degree and parameters of
synchronization of the chaotic oscillations in two coupled oscillators is
proposed, which makes it possible to reveal a change in the structure of
attractors. The proposed method is tested on a model system of two
unidirectionally coupled logistic maps. It is shown that the method is robust
with respect to both the presence of a low-intensity noise and a nonlinear
distortion of the analyzed signal. Specific features of a rearranged structure
of the attractor of a driven subsystem in the example under consideration have
been studied.
