Dynamics of globally coupled rotators with multiplicative noise

We study the dynamics of globally coupled rotator model with multiplicative noise concentrating on time-delay effect. It is shown that at a critical noise intensity the system undergoes a noise-induced transition and is split into clusters. Time-delayed interaction in the system affects the picture of the transition suppressing the clustering of the rotators and generates the switching phenomenon between the clusters. For some values of delay time the system has two stable steady states which show different dynamics. According to the initial condition the system evolves into one of the stable steady states. We discuss the nature of the transition and the switching phenomenon in the system.