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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.
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Details
1 Weifang University, School of Mathematics and Statistics, Weifang, China (GRID:grid.469274.a) (ISNI:0000 0004 1761 1246)
2 Nanjing Normal University, School of Mathematical Sciences, Nanjing, China (GRID:grid.260474.3) (ISNI:0000 0001 0089 5711)
3 Nanjing Institute of Technology, School of Mathematics and Physics, Nanjing, China (GRID:grid.443518.f) (ISNI:0000 0000 9989 1878)