期刊
PHYSICAL REVIEW E
卷 95, 期 3, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevE.95.032215
关键词
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资金
- NIH [R01NS054281]
The synchronization tendencies of networks of oscillators have been studied intensely. We assume a network of all-to-all pulse-coupled oscillators in which the effect of a pulse is independent of the number of oscillators that simultaneously emit a pulse and the normalized delay (the phase resetting) is a monotonically increasing function of oscillator phase with the slope everywhere less than 1 and a value greater than 2 phi - 1, where phi is the normalized phase. Order switching cannot occur; the only possible solutions are globally attracting synchrony and cluster solutions with a fixed firing order. For small conduction delays, we prove the former stable and all other possible attractors nonexistent due to the destabilizing discontinuity of the phase resetting at a phase of 0.
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