Lucas Wetzel, Luis G. Morelli, Andrew C. Oates, Frank Julicher, Saul Ares
We study systems of identical phase oscillators with a delay distribution in their coupling that weights contributions arising from different past times. For any coupling topology with equal number of neighbors for each oscillator, we show that the frequency and stability of the fully synchronized states only depend on the mean of the delay distribution. However, transient dynamics leading to complete synchronization are affected by the shape of the delay distribution. Our work validates the use of discrete delays to study the synchronized states of more general delayed coupled systems.
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http://arxiv.org/abs/1206.2288
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