Stochastic model of chaotic phase synchronization. I

As a stochastic model of chaotic phase synchronization (CPS), a phase dynamics driven by dichotomous Markov noise is proposed. The master equation is analytically solved for the rotation number and the phase diffusion constant as the characteristics of CPS. An approximate analysis based on the projection operator method is also carried out. Through this analysis, it is revealed that CPS phenomenon can be faithfully described by the present stochastic model.