Unified treatment of synchronization patterns in generalized networks with higher-order, multilayer, and temporal interactions
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Publisher
Journal
Communications Physics
ISSN
2399-3650
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Show full item recordAbstract
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 (SBD) of the matrices encoding the synchronization pattern and the network topology. As an application, we use SBD to discover a novel type of chimera states that only appear 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 novel emergent phenomena in complex systems with generalized interactions.
Authors
Zhang, Y; Latora, V; Motter, AECollections
- Mathematics [1439]