论文标题
自适应简单络合物中的抗反相聚类的一阶途径
First-order route to antiphase clustering in adaptive simplicial complexes
论文作者
论文摘要
这封信调查了由简单复合物编码的振荡器集合的过渡，其中成对和高阶耦合权重随时间而变化，通过受HEBBIAN学习规则启发的基于速率的自适应机制改变。这些同时发展的不同自适应耦合权重导致了一种现象，在这种现象中，同相同步完全消除了。取而代之的是，反相同步起源。此外，通过二元学习率和三元学习率，反相同步和对同步的侵害是可以管理的。通过使用Ott-Antonsen维度降低，对这些数值评估的理论验证进行了彻底描述。字母的框架和结果可能有助于理解一系列现实世界系统的基本同步行为，例如大脑功能和社交系统，而社交系统随着时间的流逝而演变。
This Letter investigates the transition to synchronization of oscillator ensembles encoded by simplicial complexes in which pairwise and higher-order coupling weights alter with time through a rate-based adaptive mechanism inspired by the Hebbian learning rule. These simultaneously evolving disparate adaptive coupling weights lead to a phenomenon in which the in-phase synchronization is completely obliterated; instead, the anti-phase synchronization is originated. In addition, the onsets of antiphase synchronization and desynchronization are manageable through both dyadic and triadic learning rates. The theoretical validation of these numerical assessments is delineated thoroughly by employing Ott-Antonsen dimensionality reduction. The framework and results of the Letter could help in the understanding of the underlying synchronization behavior of a range of real-world systems, such as brain functions and social systems where interactions evolve with time.
