Kachhvah Ajay Deep, Jalan Sarika
Complex Systems Laboratory, Department of Physics, Indian Institute of Technology Indore - Simrol, Indore 453552, India.
Phys Rev E. 2022 Jun;105(6):L062203. doi: 10.1103/PhysRevE.105.L062203.
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 that the in-phase synchronization is completely obliterated; instead, the antiphase 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 would help understand the underlying synchronization behavior of a range of real-world systems, such as the brain functions and social systems where interactions evolve with time.
本信函研究了由单纯复形编码的振荡器集合的同步转变，其中成对和高阶耦合权重通过受赫布学习规则启发的基于速率的自适应机制随时间变化。这些同时演化的不同自适应耦合权重导致了一种现象，即同相同步被完全消除；相反，反相同步出现。此外，通过二元和三元学习率可以控制反相同步和去同步的起始。通过采用奥特 - 安东森降维法对这些数值评估进行了全面的理论验证。本信函的框架和结果将有助于理解一系列现实世界系统的潜在同步行为，例如大脑功能和相互作用随时间演化的社会系统。
