Synchronization of Kuramoto oscillators with time-delayed interactions and phase lag effect
Synchronization of Kuramoto oscillators with time-delayed interactions and phase lag effect
复制标题
具有时滞相互作用和相位滞后效应的仓本振荡器同步
DOI：
10.1016/j.jde.2019.11.090
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发表时间：
2020
影响因子：
2.4
通讯作者：
Yoshihiro Ueda
中科院分区：
文献类型：
--
作者：
Chun-Hsiung Hsia;Chang-Yeol Jung;Bongsuk Kwon;Yoshihiro Ueda
研究了具有时滞相互作用和相位滞后效应的仓本振子的同步集体行为。相位和频率同步都在考虑范围内。我们首先证明了具有非均匀时滞和相位滞后的半时滞和全时滞模型的频率同步。我们还证明了具有均匀时滞和相位滞后的两个模型的完全和部分相位同步。我们的结果表明，Kuramoto模型纳入小的变化的时间延迟和/或相位滞后效应仍然表现出同步。这些支持原始的仓本模型（即，无时间延迟/相位滞后）在时间延迟和相位滞后效应的扰动中是定性鲁棒的。我们还提出了几个数值实验支持我们的主要结果。
We investigate the synchronized collective behavior of the Kuramoto oscillators with time-delayed interactions and phase lag effect. Both the phase and frequency synchronization are in view. We first prove the frequency synchronization for both semi-delay and full-delay models with heterogeneous time-delays and phase lags. We also prove the complete and partial phase synchronization for both models with the uniform time-delay and phase lag. Our results show that the Kuramoto models incorporated with small variation of time-delays and/or phase lag effect still exhibit the synchronization. These support that the original Kuramoto model (i.e., no time-delays/phase lags) is qualitatively robust in the perturbation of time-delay and phase lag effects. We also present several numerical experiments supporting our main results.