超边缘重叠调节了高阶的萨卡古奇-库拉莫托模型中的同步过渡
Xueqin Wang1, Xuening Li1, Zhiqiu Ye1
1Central China Normal University, Department of Physics and Institute of Biophysics, Wuhan 430079, China.
Physical review. E
|February 20, 2026
概括
这项研究揭示了相位滞后和超边界重叠如何影响复杂网络中的同步. 增加相位延迟和重叠转移同步顺序,并降低全球同步水平.
科学领域:
- 复杂的系统复杂的系统.
- 网络科学 网络科学
- 同步理论同步理论
背景情况:
- 在合系统中的同步得到了充分的研究.
- 微观结构和同步阶段滞后之间的相互作用仍未得到充分探索.
研究的目的:
- 调查微结构 (超边叠加) 和相滞后对同步现象的协同效应.
- 分析这些因素如何影响高阶网络中的同步顺序和性能.
主要方法:
- 引入超边缘重叠来量化2个超边缘的重叠.
- 分析包含相滞后的超图结构.
- 检查同步阶段转换和全球/本地同步水平.
主要成果:
- 增加相位延迟和超边界重叠会导致第一阶段到第二阶段同步相位过渡.
- 这两种因素都会减少全球同步,不论网络大小如何.
- 较小的超边界重叠在全球同步条件较弱的情况下增强了本地同步.
- 阶段滞后改变了系统的有效频率分布,合强度影响了与平均频率的偏差.
结论:
- 超边缘重叠和相位延迟是高阶网络同步行为的关键决定因素.
- 这些参数提供了一种方法来调整从全球到本地性能的同步.
- 这些发现为复杂的同步系统的动态提供了新的见解.
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