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Intralayer and interlayer synchronization in multiplex network with higher-order interactions.

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Summary
This summary is machine-generated.

Complex systems with higher-order interactions, modeled by hypergraphs, show enhanced synchronization. Multiplex hypergraphs demonstrate more robust interlayer synchronization than traditional networks.

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Area of Science:

  • Complex Systems
  • Network Science
  • Statistical Physics

Background:

  • Real-world networks often exhibit interactions beyond simple pairwise connections.
  • Hypergraphs provide a framework to model these higher-order interactions.
  • Multiplex networks consist of multiple layers of interactions.

Purpose of the Study:

  • To investigate intralayer and interlayer synchronization in multiplex networks with hypergraph structures.
  • To compare synchronization properties of multiplex hypergraphs against those with only pairwise connections.

Main Methods:

  • Constructed multiplex hypergraphs by mapping maximal cliques of scale-free networks to hyperedges.
  • Employed the master stability function approach to derive conditions for stable synchronization.
  • Conducted numerical simulations to validate theoretical findings.

Main Results:

  • Intralayer synchronization is significantly enhanced in multiplex hypergraphs compared to pairwise networks.
  • The master stability function accurately predicts stable synchronization states.
  • Interlayer synchronization in multiplex hypergraphs with many-body interactions is more robust than in pairwise multiplex networks.

Conclusions:

  • Incorporating higher-order interactions via hypergraphs improves synchronization in complex networks.
  • Multiplex hypergraphs offer enhanced robustness in interlayer synchronization.
  • The findings highlight the importance of considering many-body interactions in network dynamics.