AI Article Synopsis
- The study explores how higher-order interactions in networks influence the emergence of synchronous behavior among interconnected dynamical units.
- The authors introduce a diffusion mechanism over hypergraphs, drawing parallels to signed graphs to clarify how synchronization occurs.
- Mathematical proof is provided to establish general conditions that lead to successful convergence to a synchronous state in these systems.
Article Abstract
The emergence of collective behaviors in networks of dynamical units in pairwise interaction has been explained as the effect of diffusive coupling. How does the presence of higher-order interaction impact the onset of spontaneous or induced synchronous behavior? Inspired by actuation and measurement constraints typical of physical and engineered systems, we propose a diffusion mechanism over hypergraphs that explains the onset of synchronization through a clarifying analogy with signed graphs. Our findings are mathematically backed by general conditions for convergence to the synchronous state.
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| http://dx.doi.org/10.1103/PhysRevLett.131.207401 | DOI Listing |
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