论文标题
振荡器的同步不共享共同点
Synchronization of oscillators not sharing a common ground
论文作者
论文摘要
研究了不共享共同接地节点的耦合LC振荡器网络。都考虑了电阻耦合和电感耦合。对于电阻耦合下的网络，显示振荡器 - 耦合器互连如果振荡器电压是渐近同步的，则必须是双层。同样，对于双层结构（存在电阻和电感耦合器时），提出了一种方法来计算代表整体耦合的复杂值有效的Laplacian矩阵。事实证明，振荡器仅当有效的拉普拉斯（Laplacian）在假想轴上具有单个特征值时显示同步行为。
Networks of coupled LC oscillators that do not share a common ground node are studied. Both resistive coupling and inductive coupling are considered. For networks under resistive coupling, it is shown that the oscillator-coupler interconnection has to be bilayer if the oscillator voltages are to asymptotically synchronize. Also, for bilayer architecture (when both resistive and inductive couplers are present) a method is proposed to compute a complex-valued effective Laplacian matrix that represents the overall coupling. It is proved that the oscillators display synchronous behavior if and only if the effective Laplacian has a single eigenvalue on the imaginary axis.
