在网络中使用空间顺序分区的同步检测
Zahra Shahriari1, Shannon D Algar1, David M Walker1
1The University of Western Australia, Complex Systems Group, Department of Mathematics and Statistics, Perth, Western Australia, Australia.
Physical review. E
|January 21, 2026
概括
这项研究引入了一种新的方法来检测配对动态系统中的同步区域和集体行为,使用顺序模式和顺序. 该技术有效地识别同步边界,即使在复杂的部分同步网络中.
科学领域:
- 复杂的系统复杂的系统.
- 网络科学 网络科学
- 动态系统理论 动态系统理论
背景情况:
- 在合动态系统中识别集体行为对于理解复杂的网络动态至关重要.
- 现有的方法可能会与部分同步状态或连接不均的网络扎.
研究的目的:
- 开发和验证一种强大的方法来检测同步区域,并对联动系统网络中的集体行为进行分类.
- 将分析扩展到传统时空分析不可行的网络.
主要方法:
- 使用邻近振荡器空间配置的顺序模式来检测每个时间点的同步.
- 采用顺序和禁止序列枢机性来对集体行为进行分类.
- 将该方法应用于连接后勤地图的环网,然后应用于具有随机连接的网络.
主要成果:
- 该方法成功检测了同步区域,并证实了关于集体行为识别的先前发现.
- 它准确地确定了部分同步网络中同步区域的边界.
- 在随机连接的网络上证明了有效性,在时空地图无法实现时非常有用.
结论:
- 拟议的方法提供了一个强大的方法来分析复杂网络中的同步和集体行为.
- 它为特征网络状态提供了一个强大的工具,特别是在部分同步或复杂拓的场景中.
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