Exponential synchronization rate of Kuramoto oscillators in the presence of a pacemaker.
Exponential synchronization rate of Kuramoto oscillators in the presence of a pacemaker.
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DOI：
10.1109/tac.2012.2215772
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发表时间：
2012-08-27
影响因子：
6.8
通讯作者：
Doyle FJ 3rd
中科院分区：
文献类型：
--
作者：
Wang Y;Doyle FJ 3rd
The exponential synchronization rate is addressed for Kuramoto oscillators in the presence of a pacemaker. When natural frequencies are identical, we prove that synchronization can be ensured even when the phases are not constrained in an open half-circle, which improves the existing results in the literature. We derive a lower bound on the exponential synchronization rate, which is proven to be an increasing function of pacemaker strength, but may be an increasing or decreasing function of local coupling strength. A similar conclusion is obtained for phase locking when the natural frequencies are non-identical. An approach to trapping phase differences in an arbitrary interval is also given, which ensures synchronization in the sense that synchronization error can be reduced to an arbitrary level.
