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Systems of many limit cycle oscillators are studied by using a phase description of the oscillation. Each oscillator interacts with all the other oscillators uniformly and is subject to external field. Two kinds of external fields are applied to the system: (1) periodic force and (2) random noises. Some effects of the external fields on the mutual entrainment are studied by analyses for steady macroscopic rotation and also by numerical simulations.
H. Sakaguchi (Fri,) studied this question.