每个顺序拓学的互补贡献,使多顺序网络的同步实现
Xiaomin Ren1, Youming Lei1, Celso Grebogi2
1School of Mathematics and Statistics, Northwestern Polytechnical University, Xi'an 710072, China.
Chaos (Woodbury, N.Y.)
|November 1, 2023
概括
复杂网络中的高阶相互作用保持了同步稳定性. 互补的低级和高级拓确保了最佳的网络配置,挑战了关于同步促进的先前假设.
科学领域:
- 复杂系统分析 复杂系统分析
- 网络科学 网络科学
- 数学物理学的数学物理.
背景情况:
- 高阶交互对于模拟复杂的现实世界系统至关重要.
- 了解它们对集体网络行为的贡献具有重大意义.
- 以前的研究表明,更高阶的相互作用增强了同步稳定性.
研究的目的:
- 在具有更高阶结构的复杂网络中研究完全同步的稳定性.
- 分析不同顺序的合强度对同步的影响.
- 质疑现有的结论关于高阶相互作用在同步中的作用.
主要方法:
- 在具有更高阶结构的网络中对完全同步的分析.
- 调查同步级别,不论是跨订单的合强度.
- 研究较低级和较高级拓学的互补作用.
- 简单复合物的检查和添加更高阶相互作用的影响.
- 跨多种网络拓的全面分析 (超图,简化复合体).
- 使用重新缩放技术来评估同步稳定性.
主要成果:
- 无论不同订单的合强度如何,同步水平都保持不变.
- 较低级和较高级拓相互补充,以获得最佳的稳定性.
- 简单地将高阶交互添加到现有连接中,对同步产生最小的影响.
- 在各种网络拓中,同步稳定性强大.
结论:
- 高阶交互不仅促进了同步稳定性;与低阶拓学的互补作用是关键.
- 网络同步稳定性可以通过不同交互顺序的平衡相互作用来实现.
- 这些发现为复杂系统中高阶相互作用提供了细微的视角.
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