在具有更高阶交互的自适应多层网络中,过渡到同步
Richita Ghosh1, Md Sayeed Anwar2, Dibakar Ghosh2
1Central University of Rajasthan, Department of Physics, Rajasthan, Ajmer 305 817, India.
Physical review. E
|August 1, 2025
概括
本研究探讨了具有更高阶相互作用的适应性多层网络. 引入顺序参数适应揭示了复杂的,分层的同步过渡和集体行为的多个途径.
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:
- 现实世界的网络表现出适应性行为和同时交互.
- 在许多复杂系统中,高阶相互作用至关重要.
- 了解多层网络中的适应动态是必不可少的.
研究的目的:
- 研究具有更高阶相互作用的适应性多层网络的动态.
- 分析订单参数调整对同步路线的影响.
- 探索线性和非线性适应函数的影响.
主要方法:
- 库拉莫托振荡器的自适应式多层网络的建模.
- 分析配对和高阶相互作用的动态.
- 研究适应性系统的分叉和吸引力盆地.
主要成果:
- 发现了与线性适应同步的阶层过渡.
- 观察到连续的,突然的,和多个路径同步.
- 确定了三种非线性适应诱导的阶层过渡:连续,不连续和歇斯底里.
结论:
- 顺序参数的调整显著影响了高阶多层网络的动态.
- 适应性交互可以创建多稳定性并改变同步路径.
- 该研究提供了对复杂适应性系统中的同步现象的见解.
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