Abstract
The circuit equations for certain series arrays of Josephson junctions can be mapped onto a simple model originally introduced by Kuramoto [in Proceedings of the International Symposium on Mathematical Problems in Theoretical Physics, edited by H. Araki, Lecture Notes in Physics Vol. 39 (Springer, Berlin, 1975)] to study fundamental aspects of frequency locking in large populations of nonlinear oscillators. This correspondence makes it possible to derive accurate theoretical predictions of transitions signalling the onset of partial and complete locking, respectively. We calculate that both transitions should be observable experimentally using present fabrication tolerance.
Keywords
Josephson effectKuramoto modelObservablePhysicsNonlinear systemSeries (stratigraphy)Simple (philosophy)Statistical physicsConnection (principal bundle)Synchronization (alternating current)Topology (electrical circuits)Theoretical physicsQuantum mechanicsMathematicsSuperconductivityGeometryCombinatorics
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Publication Info
- Year
- 1998
- Type
- article
- Volume
- 57
- Issue
- 2
- Pages
- 1563-1569
- Citations
- 387
- Access
- Closed
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Cite This
Kurt Wiesenfeld,
Pere Colet,
Steven H. Strogatz
(1998).
Frequency locking in Josephson arrays: Connection with the Kuramoto model.
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
, 57
(2)
, 1563-1569.
https://doi.org/10.1103/physreve.57.1563
Identifiers
- DOI
- 10.1103/physreve.57.1563