5 citations · 15 across the 14 of their papers we have counts for
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Discrete-time SIS Social Contagion Processes on Hypergraphs
Lidan Liang, Shaoxuan Cui, Fangzhou Liu
Recent research on social contagion processes has revealed the limitations of traditional networks, which capture only pairwise relationships, to characterize complex multiparty re…
Global and local observability of hypergraphs
Chencheng Zhang, Hao Yang, Shaoxuan Cui +2
This paper studies observability for non-uniform hypergraphs with inputs and outputs. To capture higher-order interactions, we define a canonical non-homogeneous dynamical system w…
On the analysis of a higher-order Lotka-Volterra model: an application of S-tensors and the polynomial complementarity problem
Shaoxuan Cui, Qi Zhao, Guofeng Zhang +2
It is known that the effect of species' density on species' growth is non-additive in real ecological systems. This challenges the conventional Lotka-Volterra model, where the inte…
On discrete-time polynomial dynamical systems on hypergraphs
Shaoxuan Cui, Guofeng Zhang, Hildeberto Jardón-Kojakhmetov +1
This paper studies the stability of discrete-time polynomial dynamical systems on hypergraphs by utilizing the Perron-Frobenius theorem for nonnegative tensors with respect to the…
On Metzler positive systems on hypergraphs
Shaoxuan Cui, Guofeng Zhang, Hildeberto Jardón-Kojakhmetov +1
In graph-theoretical terms, an edge in a graph connects two vertices while a hyperedge of a hypergraph connects any more than one vertices. If the hypergraph's hyperedges further c…