同步(交流)
订单(交换)
简单复形
复杂系统
理论(学习稳定性)
产量(工程)
动力系统理论
歧管(流体力学)
统计物理学
计算机科学
拓扑(电路)
数学
物理
纯数学
组合数学
量子力学
人工智能
机器学习
机械工程
财务
工程类
经济
热力学
作者
Sarika Jalan,Ayushi Suman
出处
期刊:Physical review
日期:2022-10-21
卷期号:106 (4)
被引量:9
标识
DOI:10.1103/physreve.106.044304
摘要
The presence of higher-order interactions (simplicial complexes) on globally coupled systems yield abrupt first-order transitions to synchronization. We discover that simplicial complexes on multilayer systems can yield multiple basins of attraction, leading to multiple abrupt first-order transitions to (de)synchronization for associated coupled dynamics. Using the Ott-Antonsen approach, we develop an analytical framework for simplicial complexes on multilayer systems, reducing the high-dimensional evolution equation to a low-dimensional manifold, which thoroughly explains the origin and stability of all possible dynamical states, including multiple synchronization transitions. The study illustrating rich dynamical behaviors could be pivotal in comprehending the impacts of higher-order interactions on dynamics of complex real-world networks, such as brain, social, and technological, which have inherent multilayer architectures.
科研通智能强力驱动
Strongly Powered by AbleSci AI