Phase reduction of strongly coupled limit-cycle oscillators
Phase reduction of strongly coupled limit-cycle oscillators
复制标题
强耦合极限环振荡器的相位缩减
DOI：
10.1103/physrevresearch.4.043176
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发表时间：
2022
影响因子：
4.2
通讯作者：
Nakao Hiroya
中科院分区：
文献类型：
--
作者：
Kurebayashi Wataru;Yamamoto Takuto;Shirasaka Sho;Nakao Hiroya
相位约化方法在耦合振子同步动力学的理论和实验分析中发挥了关键作用，但其适用范围仅限于弱耦合情况。在这项研究中，相位方程，描述强耦合极限环振子的推导，其中每个振子的轨道可以变形很大程度上取决于强参数耦合。我们扩展了强扰动极限环振荡器的相位约化理论，并发展了一个近似的自洽分析，以获得一个简化的描述的振荡器动力学只使用相位变量的振荡器。数值模拟结果表明，与传统的描述方法相比，本文提出的相位方程提高了强耦合振子动力学行为的预测精度。
The phase reduction method has played a key role in the theoretical and experimental analysis of synchronization dynamics of coupled oscillators, but its applicability is limited to the case of weak coupling. In this study, a phase equation that describes strongly coupled limit-cycle oscillators is derived, where the orbit of each oscillator can deform largely depending on the strong parametric coupling. We extend the phase reduction theory for strongly perturbed limit-cycle oscillators and develop an approximate self-consistency analysis to obtain a reduced description of the oscillator dynamics using only the phase variables of the oscillators. Numerical simulations show that the proposed phase equation improves the accuracy to predict the dynamics of strongly coupled oscillators over the conventional description.