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It is well known that the sensory-motor coupling represents negative asynchrony phenomenon in which motion timing precedes the onset of stimulus. In our previous researches, the tapping task has been investigated by spectrum analysis of synchronization error (SE) and discovered two frequency characteristics in their behavior. Therefore, in this report, we made an improvement on the time-series analysis and it was shown that asynchronous behavior in synchronization tapping task is composed of two different dynamics. One has self-similar structure, and the other is periodic.