延迟合复杂网络中的振幅死亡,具有更高阶相互作用
Rui Xiao1, Xueli Wang1, Donghua Zhao2
1China University of Mining and Technology, School of Mathematics, Xuzhou 221008, China.
Physical review. E
|November 18, 2025
概括
复杂网络中的高阶相互作用显著影响振荡动态和振幅死亡 (AD). 增加的相互作用强度减少了AD,而更密集的网络促进了振荡,为复杂的系统控制提供了洞察力.
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:
- 振荡现象在生物学和工程等不同领域至关重要.
- 高阶网络,涉及三个或更多单元之间的相互作用,为复杂系统提供了更现实的模型.
- 这些高阶相互作用对振幅死亡 (AD) 的影响尚不清楚.
研究的目的:
- 在延迟合的复杂网络中研究振幅死亡 (AD).
- 分析一级,二级和组合相互作用方案的影响.
- 了解更高阶相互作用如何调节振荡行为和AD.
主要方法:
- 利用缩小维度的方法来简化高维系统.
- 通过分析推导出振幅死亡区域的边界.
- 使用数值模拟来验证理论发现.
主要成果:
- 一级和二级相互作用强度,以及网络拓,都会显著影响振荡.
- 增加的相互作用强度会降低AD区域,导致振荡和AD之间的顺序或直接过渡.
- 更高的连接密度促进了振荡,而较少的连接则有利于AD状态.
结论:
- 高阶相互作用在复杂网络中塑造振荡动态和振幅死亡方面发挥着关键作用.
- 结果提供了对工程和自然系统中控制和调节振荡的更深入的理解.
- 这项研究强调了网络结构和交互复杂性的重要性在新兴动态中.
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