相位整体性是具有两个子种群的仓本模型中令人费解的时间模式的基础

Aladin Crnkić, Vladimir Jaćimović
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引用次数: 0

摘要

我们从几何角度研究了此前在具有两个子群的仓本模型中报道的奇异动力学行为。我们的研究证明,这类模型中的嵌合体和行波与几何相位的产生有关。虽然几何相位的表现在物理学的各个领域都很常见,但(据我们所知)这是第一次在仓本振子集合或更广义的复杂系统中暴露出这种现象。
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Phase holonomy underlies puzzling temporal patterns in Kuramoto models with two sub-populations
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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