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, 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.

Authors

Institutions

Publication Details

Journal
Scientific Reports
Published
2024-10-25
DOI
https://doi.org/10.1038/s41598-024-76406-w
Citations
1
Primary Topic
Nonlinear Dynamics and Pattern Formation
Type
article
Field-Weighted Citation Impact
0.35

Funders

Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Almost global synchronization of Kuramoto oscillators with symmetry breaking terms

Yushi Shi, Xueyan Li, Xinyun Liu
1 citations
Scientific Reports
Nonlinear Dynamics and Pattern Formation
0.35
article

Almost global synchronization of Kuramoto oscillators with symmetry breaking terms

Yushi Shi, Xueyan Li, Xinyun Liu
article en
1 citations

Abstract

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.

Scientific ReportsVol. 14(1)
Nanjing Normal University (CN), Nanjing Institute of Technology (CN), Weifang University (CN)
Government of Jiangsu Province, Natural Science Foundation of Shandong Province
Openalex Percentile: Top 37%
Nonlinear Dynamics and Pattern Formation
0.35
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

Almost global synchronization of Kuramoto oscillators with symmetry breaking terms — Yushi Shi, Xueyan Li, et al. · Scientific Reports (2024) | TGRS Research Map | TGRS