Synchrony, stability, and firing patterns in pulse-coupled oscillators
Synchrony, stability, and firing patterns in pulse-coupled oscillators
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DOI：
10.1016/s0167-2789(01)00374-8
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发表时间：
2002-03-15
影响因子：
4
通讯作者：
Ermentrout, B
中科院分区：
文献类型：
--
作者：
Goel, P;Ermentrout, B
我们研究了脉冲耦合振荡映射的小集合中的非平凡放电模式。我们发现的条件存在波环耦合映射是双向耦合。我们还发现了一般的全对全耦合振荡器的稳定同步的条件。令人惊讶的是，我们发现，来自生理数据的地图，同步的稳定性取决于振荡器的数量。我们描述旋转波在二维格子的地图，并减少其存在的代数方程组的数值求解减少系统。(C)出版社：Elsevier Science B.V.
We study non-trivial firing patterns in small assemblies of pulse-coupled oscillatory maps. We find conditions for the existence of waves in rings of coupled maps that are coupled bi-directionally. We also find conditions for stable synchrony in general all-to-all coupled oscillators. Surprisingly, we find that for maps that are derived from physiological data, the stability of synchrony depends on the number of oscillators. We describe rotating waves in two-dimensional lattices of maps and reduce their existence to a reduced system of algebraic equations which are solved numerically. (C) 2002 Published by Elsevier Science B.V.