Stochastic model of chaotic phase synchronization. II

Abstract

A stochastic model of chaotic phase synchronization (CPS) introduced in a previous paper is analyzed using approximate methods in two ways that differ from those employed in the previous paper. The rotation number and the diffusion constant of the phase difference are formulated with a stochastic model for the phase slips based on an adiabatic approximation and a scaling analysis employing a Gaussian white noise approximation in the limit of a short correlation time of the noise term. Moreover, the asymmetric peak of the phase diffusion constant due to critical enhancement of chaotic fluctuations is considered. Through these analyses, characteristic properties of the CPS transition are elucidated.