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The present paper considers the synchronization of globally pulse-coupled oscillators with a refractory period and frequency distribution. The oscillators are capable of achieving time synchronization for a practical wireless sensor network. Furthermore, as a result of the stability analysis of the synchronization, a procedure for designing the oscillators is provided: the determination of the allowable refractory period under a given frequency distribution range. These analytical results are verified by numerical examples.
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Konishi et al. (2008) studied this question.
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