Almost global synchronization of Kuramoto oscillators with symmetry breaking terms

Almost global synchronization of Kuramoto oscillators with symmetry breaking terms

M.A. Lohe first proposed the high-dimensional Kuramoto model with symmetry-breaking terms (Quantum synchronization over quantum networks, Journal of Physics A: Mathematical and Theoretical, 43:465301, 2010), which is the real form of a quantum network synchronization model. For the homogeneous case,...

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Veröffentlicht in:Scientific reports 2024-10, Vol.14 (1), p.25304-13, Article 25304
Hauptverfasser: Liu, Xinyun, Li, Xueyan, Shi, Yushi
Format: Artikel
Sprache:eng
Schlagworte:
639/705
639/705/1041
639/705/1045
Humanities and Social Sciences
multidisciplinary
Science
Science (multidisciplinary)
Symmetry
Synchronization
Topology
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Zusammenfassung:M.A. Lohe first proposed the high-dimensional Kuramoto model with symmetry-breaking terms (Quantum synchronization over quantum networks, Journal of Physics A: Mathematical and Theoretical, 43:465301, 2010), which is the real form of a quantum network synchronization model. For the homogeneous case, by analyzing the limit set and the spectrum of the linearized model, the almost global synchronization is derived from the topology of some kind of connecting graphs.
ISSN:2045-2322
2045-2322
DOI:10.1038/s41598-024-76406-w