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Unified treatment of synchronization patterns in generalized networks with higher-order, multilayer, and temporal interactions - MaRDI portal

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Unified treatment of synchronization patterns in generalized networks with higher-order, multilayer, and temporal interactions

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Publication:6350339

arXiv2010.00613MaRDI QIDQ6350339

Author name not available (Why is that?)

Publication date: 1 October 2020

Abstract: When describing complex interconnected systems, one often has to go beyond the standard network description to account for generalized interactions. Here, we establish a unified framework to simplify the stability analysis of cluster synchronization patterns for a wide range of generalized networks, including hypergraphs, multilayer networks, and temporal networks. The framework is based on finding a simultaneous block diagonalization of the matrices encoding the synchronization pattern and the network topology. As an application, we use simultaneous block diagonalization to unveil an intriguing type of chimera states that appear only in the presence of higher-order interactions. The unified framework established here can be extended to other dynamical processes and can facilitate the discovery of emergent phenomena in complex systems with generalized interactions.




Has companion code repository: https://github.com/y-z-zhang/SBD








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