Affiliation:
1. Indian Statistical Institute
2. University of Maribor
3. Community Healthcare Center Dr. Adolf Drolc Maribor
4. Complexity Science Hub Vienna
5. Kyung Hee University
Abstract
Networks incorporating higher-order interactions are increasingly recognized for their ability to introduce novel dynamics into various processes, including synchronization. Previous studies on synchronization within multilayer networks have often been limited to specific models, such as the Kuramoto model, or have focused solely on higher-order interactions within individual layers. Here, we present a comprehensive framework for investigating synchronization, particularly global synchronization, in multilayer networks with higher-order interactions. Our framework considers interactions beyond pairwise connections, both within and across layers. We demonstrate the existence of a stable global synchronous state, with a condition resembling the master stability function, contingent on the choice of coupling functions. Our theoretical findings are supported by simulations using Hindmarsh-Rose neuronal and Rössler oscillators. These simulations illustrate how synchronization is facilitated by higher-order interactions, both within and across layers, highlighting the advantages over scenarios involving interactions within single layers.
Published by the American Physical Society
2024
Funder
University Grants Commission
Slovenian Research and Innovation Agency
Publisher
American Physical Society (APS)
Cited by
2 articles.
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