网络上的同步过程之间的不相似性
1Departamento de Física, Universidad Nacional de Colombia, Bogotá, Colombia.
Physical review. E
|May 17, 2024
概括
我们开发了一个新的框架来比较合振荡器如何跨网络同步. 这种方法量化了同步差异,有助于分析复杂的系统动态和网络结构.
科学领域:
- 复杂的系统复杂的系统.
- 网络科学 网络科学
- 动态过程 动态过程
背景情况:
- 同步在许多复杂系统中至关重要,从生物网络到电网.
- 了解网络结构如何影响同步动态是一个关键的挑战.
研究的目的:
- 引入一个一般框架来比较合振荡器系统中的同步动态.
- 在相同尺寸的网络上量化同步过程之间的差异.
主要方法:
- 开发了一种基于超体度量衡的不相似度量,用于比较振荡器相位.
- 将框架应用于各种网络配置的Kuramoto模型 (例如,边缘权重,循环,环).
- 在非异态图中比较同步,并将库拉莫托模型与其线性近似进行对比.
主要成果:
- 分析了网络拓和合参数对振荡器同步的影响.
- 对各种网络结构和初始条件的量化同步差异.
- 证明了框架在比较不同的动态模型中的实用性.
结论:
- 拟议的框架为分析和比较复杂网络中的同步现象提供了一种多功能工具.
- 它有助于更深入地了解网络结构如何决定系统动态.
- 该方法适用于各种表现为合振荡器行为的系统.
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