更深但更小:更高阶的相互作用增加了线性稳定性,但缩小了盆地
Yuanzhao Zhang1, Per Sebastian Skardal2, Federico Battiston3
1Santa Fe Institute, Santa Fe, NM 87501, USA.
Science advances
|October 2, 2024
概括
网络科学中的更高阶交互可以稳定同步等集体动态,但也使这些状态更难达到. 了解这些对立的效应对于非线性动力学研究至关重要.
科学领域:
- 复杂的系统复杂的系统.
- 网络科学 网络科学
- 非线性动力学是一种非线性动力学.
背景情况:
- 了解更高层次的相互作用是复杂系统中集体动态的关键.
- 以前的研究主要使用线性稳定性分析,限制了对全球国家组织的洞察力.
研究的目的:
- 研究更高层次的相互作用如何影响动态网络中的国家全球组织.
- 分析超图结构对库拉莫托振荡器动态的影响.
主要方法:
- 在超图上分析相同的库拉莫托振荡器.
- 线性稳定性和流域稳定性指标的比较.
主要成果:
- 高阶相互作用改善了完全同步等状态的线性稳定性.
- 同时,这些相互作用降低了盆地稳定性,使得目标状态更难实现.
- 对局部稳定性和动态状态的全球可访问性观察到相反的影响.
结论:
- 高阶交互在集体动态中起着双重作用,影响稳定性和可达性.
- 一个全面的理解需要检查本地 (线性稳定性) 和全球 (盆地稳定性) 的观点.
- 这些发现对于设计和控制复杂的网络系统至关重要.
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