  A coupled map model for the chaotic phase synchronization and its
desynchronization phenomenon is proposed. The model is constructed by
integrating the coupled kicked oscillator system, kicking strength depending on
the complex state variables. It is shown that the proposed model clearly
exhibits the chaotic phase synchronization phenomenon. Furthermore, we
numerically prove that in the region where the phase synchronization is weakly
broken, the anomalous scaling of the phase difference rotation number is
observed. This proves that the present model belongs to the same universality
class found by Pikovsky et al.. Furthermore, the phase diffusion coefficient in
the de-synchronization state is analyzed.
