Generalized coupling in the Kuramoto model
Generalized coupling in the Kuramoto model
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DOI：
10.1103/physreve.75.017201
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发表时间：
2007-01-01
影响因子：
2.4
通讯作者：
Wiesenfeld, K.
中科院分区：
文献类型：
--
作者：
Filatrella, G.;Pedersen, N. F.;Wiesenfeld, K.
我们提出对 Kuramoto 模型进行修改，以解释振荡器之间耦合常数的有效变化，正如约瑟夫森结、激光阵列和机械系统的一些实验所建议的那样，其中有源元件逐一打开。所得模型在分析上易于处理，并预测一阶和二阶相变都是可能的，具体取决于调整振荡器之间耦合的新参数的值。该模型的数值模拟与分析估计一致，并且与通过空腔耦合的约瑟夫森结的行为定性一致。
We propose a modification of the Kuramoto model to account for the effective change in the coupling constant among the oscillators, as suggested by some experiments on Josephson junction, laser arrays, and mechanical systems, where the active elements are turned on one by one. The resulting model is analytically tractable and predicts that both first and second order phase transitions are possible, depending upon the value of a new parameter that tunes the coupling among the oscillators. Numerical simulations of the model are in accordance with the analytical estimates, and in qualitative agreement with the behavior of Josephson junctions coupled via a cavity.