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Conference Paper

Stability Analysis of Mutually Synchronized Spatially Distributed 24 GHz Oscillators

MPS-Authors
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Wetzel,  Lucas
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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Prousalis,  Dimitris
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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Jülicher,  Frank
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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Citation

Hoyer, C., Wetzel, L., Prousalis, D., Wagner, J., Jülicher, F., & Ellinger, F. (2022). Stability Analysis of Mutually Synchronized Spatially Distributed 24 GHz Oscillators. In 2022 IEEE International Instrumentation and Measurement Technology Conference (I2MTC) (pp. 1-6).


Cite as: https://hdl.handle.net/21.11116/0000-0010-7959-3
Abstract
In this work the basin of stability of synchronized states in a system of two mutually delay-coupled phase-locked loops (PLLs) is studied. For sufficiently large cross-coupling time delays several synchronized states with different frequencies and phase relations can exist. This is termed multistability. Using PLL nodes with voltage-controlled oscillators operating at 24 GHz the basin of stability of in- and anti-phase synchronized states is measured. The PLL nodes were modified accordingly to measure the transient dynamics during synchronization. A comparison to the results of time domain simulations of the transient dynamics reveals that such dynamics can be predicted qualitatively and quantitatively. Based on these results, a deeper understanding of the synchronization process at time delays resulting in multistable states in coupled PLL networks, can be obtained.