Phase holonomy underlies puzzling temporal patterns in Kuramoto models with two sub-populations

被引:0
|
作者
Crnkic, Aladin [1 ]
Jacimovic, Vladimir [2 ]
机构
[1] Univ Bihac, Fac Tech Engn, 1 Ljubijankica,bb, Bihac 77000, Bosnia & Herceg
[2] Univ Montenegro, Fac Nat Sci & Math, Cetinjski put,bb, Podgorica 81000, Montenegro
关键词
GEOMETRIC PHASES;
D O I
10.1063/5.0186807
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We present a geometric investigation of curious dynamical behaviors previously reported in Kuramoto models with two sub-populations. Our study demonstrates that chimeras and traveling waves in such models are associated with the birth of geometric phase. Although manifestations of geometric phase are frequent in various fields of physics, this is the first time (to our best knowledge) that such a phenomenon is exposed in ensembles of Kuramoto oscillators or, more broadly, in complex systems.
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页数:13
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