高阶相互作用如何塑造能源格局?
Zheng Wang1, Wenchang Qi1, Jinjie Zhu1
1Nanjing University of Aeronautics and Astronautics, State Key Laboratory of Mechanics and Control for Aerospace Structures, College of Aerospace Engineering, Nanjing 210016, China.
Physical review. E
|January 21, 2026
概括
偶联振荡器网络中的高阶相互作用扩展稳定状态,而收缩其他状态. 这些复杂的动态揭示了网络结构如何影响同步和稳定性,提供了新的控制见解.
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:
- 合振荡器网络中的同步现象是许多自然和工程系统的基础.
- 了解超越对联的更高阶相互作用的作用,对于全面了解网络动态至关重要.
- 能源格局和不同网络状态的稳定性是预测系统行为的关键.
研究的目的:
- 研究三元 (高阶) 相互作用对合振荡器网络的能量格局和同步状态的影响.
- 分析这些高阶相互作用如何影响不同网络配置的稳定性和盆地大小.
- 探索网络结构,噪声和新出现的同步模式之间的相互作用.
主要方法:
- 利用了整体化的库拉莫托模型,结合了三元交互.
- 采用确定性流域分析来绘制网络状态稳定性的地图.
- 纳入噪声诱导过渡分析和量子回火方法来研究系统动态.
主要成果:
- 高阶相互作用表现出双重效应:扩大非扭曲状态的盆地,同时收缩扭曲状态的盆地.
- 三元合增强了较高绕数和非绕状态相对于同步状态的稳定性.
- 观察到显著的稳定不对称性,其中小盆地状态可以有深的潜在井,增强噪声耐受性.
结论:
- 这些发现将准潜在理论扩展到具有更高阶相互作用的高维网络系统.
- 这项研究为通过调整高阶合来控制复杂系统中的同步提供了新的见解.
- 结果突出了网络拓和交互顺序在新兴集体行为中的关键作用.
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