Phase transitions and stability of dynamical processes on hypergraphs
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DOI: 10.1038/s42005-021-00525-3
Abstract: Hypergraphs naturally represent higher-order interactions, which persistently appear in social interactions, neural networks, and other natural systems. Although their importance is well recognized, a theoretical framework to describe general dynamical processes on hypergraphs is not… read more here.
Keywords: order; framework; dynamical processes; processes hypergraphs ... See more keywords
Stability of Dynamical Systems with Circulatory Forces: Generalization of the Merkin Theorem
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DOI: 10.2514/1.j056109
Abstract: This paper develops a general result on the stability of undamped linear multi-degree-of-freedom systems that are subjected to potential and circulatory forces. The result is a generalization of Merkin’s celebrated result on flutter instability in… read more here.
Keywords: generalization; generalization merkin; dynamical systems; circulatory forces ... See more keywords