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arXiv · 2005.04403

Synchronization of oscillators not sharing a common ground

S. Emre Tuna
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Abstract

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.

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S. Emre Tuna. 2020-05-09. Synchronization of oscillators not sharing a common ground. https://arxiv.org/abs/2005.04403

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