在异质网络中出现混乱的集群同步
Rodrigo M Corder1, Zheng Bian2, Tiago Pereira2,3
1Division of Epidemiology and Biostatistics, School of Public Health, University of California, Berkeley, Berkeley, California 94720, USA.
Chaos (Woodbury, N.Y.)
|September 13, 2023
概括
我们揭示了集群同步如何在复杂,不对称的网络中出现. 我们的发现解释了不同系统中的同步行为,从神经网络到社交网络.
科学领域:
- 复杂系统科学 复杂系统科学
- 网络理论 网络理论
- 动态系统是动态系统.
背景情况:
- 现实世界的复杂系统经常表现出集群同步,其中一些节点同步,而另一些则不同步.
- 在不对称网络中预测和理解集群同步是具有挑战性的.
研究的目的:
- 解开异质随机网络中集群同步背后的机制.
- 开发一个理论框架来预测集群的出现和稳定性.
主要方法:
- 开发一个异质平均场近似的方法.
- 应用一个自我一致的理论来分析集群动态.
主要成果:
- 证明集群同步发生在各种异质网络中.
- 验证该方法对各种节点动态和合函数的适用性.
结论:
- 开发的理论准确地预测了集群同步的开始和稳定性.
- 提供了对各种复杂网络中的动态行为的新理解.
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