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Nonextensive time-dependent entropy (TDE) is presented for analysis of event-related potential (ERP). Entropy method is effective in describing the transition of clinical electroencephalogram (EEG) signals. TDE is used to characterize in a quantitative way functional dynamics of order/disorder microstates in EEG signals. In this work TDE is computed for ERPs recorded from 14 healthy subjects in a cognitive task. From the experimental results, the dynamic characteristics of clinical brain electrical activities can be demonstrated by using nonextensive entropy method.