Abstract

We show that the stability surface that governs the synchronization of a large class of arrays of identical oscillators can be probed with a simple array of just three identical oscillators. Experimentally this implies that it may be possible to probe the synchronization conditions of many arrays all at the same time. In the process of developing a theory of the three-oscillator probe, we also show that several regimes of asymptotic coupling can be derived for the array classes, including the case of large imaginary coupling, which apparently has not been explored.

Keywords

Synchronization (alternating current)Coupling (piping)PhysicsStability (learning theory)Simple (philosophy)Synchronization networksTopology (electrical circuits)Control theory (sociology)Quantum mechanicsComputer scienceMathematicsMaterials science

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Publication Info

Year
2000
Type
article
Volume
61
Issue
5
Pages
5080-5090
Citations
177
Access
Closed

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Cite This

Kenneth S. Fink, Gregg A. Johnson, Thomas L. Carroll et al. (2000). Three coupled oscillators as a universal probe of synchronization stability in coupled oscillator arrays. Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics , 61 (5) , 5080-5090. https://doi.org/10.1103/physreve.61.5080

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DOI
10.1103/physreve.61.5080