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Synchronization of Short-Range Pulse-Coupled Oscillators

J. M. G. Vilar·A. Corral
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Abstract

We explore systems of pulse-coupled oscillators beyond the mean-field limit [R.E. Mirollo and S.H. Strogatz, {SIAM J. Appl. Math.} {\bf 50}, 1645 (1990)] by means of a manageable description which leads to a great simplification of the dynamics. Sufficient conditions for synchronization are exactly obtained for a ring with nearest-neighbor directed interactions, turning out to be the same as in the all-to-all case. Our analysis shows new synchronization mechanisms occurring when the interactions are local.

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J. M. G. Vilar, A. Corral. 1998-07-30. Synchronization of Short-Range Pulse-Coupled Oscillators. https://arxiv.org/abs/cond-mat/9807403

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