DYNAMICS OF GLOBALLY COUPLED ROTATORS WITH MULTIPLICATIVE NOISE

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