  In this article we compare the characteristics of two types of the
intermittent behavior (type-I intermittency in the presence of noise and eyelet
intermittency taking place in the vicinity of the chaotic phase synchronization
boundary) supposed hitherto to be different phenomena. We show that these
effects are the same type of dynamics observed under different conditions. The
correctness of our conclusion is confirmed by the consideration of different
sample systems, such as quadratic map, Van der Pol oscillator and Rossler
system. Consideration of the problem concerning the upper boundary of the
intermittent behavior also confirms the validity of the statement on the
equivalence of type-I intermittency in the presence of noise and eyelet
intermittency observed in the onset of phase synchronization.
