  In this article we report that there are two different types of destruction
of the phase synchronization regime of chaotic oscillators depending on the
parameter mismatch as well as in the case of the classical synchronization of
periodic oscillators. When the parameter mismatch of the interacting chaotic
oscillators is small enough the PS breaking takes place without the destruction
of the phase coherence of chaotic attractors of oscillators. Alternatively, due
to the large frequency detuning, the PS breaking is accomplished by loss of the
phase coherence of the chaotic attractors.
