5 citations · 15 across the 14 of their papers we have counts for
14 papers · 1 filter
Stability and Robustness of Tensor-Coupled Flow-Conservation Dynamical Systems on Hypergraphs
Chencheng Zhang, Hao Yang, Bin Jiang +1
This paper develops an entropy-based stability and robustness framework for nonlinear hypergraph dynamics with conservation and flow balance. We consider generator-form systems on…
Invariance of Competition Outcomes in Hypergraph Competitive Dynamics
Qi Zhao, Shaoxuan Cui, Baolin Zhang +2
Winner-take-all (WTA)--type selection is a fundamental mechanism in networked competition, yet its dependence on higher-order interactions remains insufficiently understood. We stu…
Linear Feedback Controller for Homogeneous Polynomial Systems
Shaoxuan Cui, Qi Zhao, Guanlin Li +2
This paper studies stabilization and its corresponding closed-loop region-of-attraction (ROA) for homogeneous polynomial dynamical systems whose nonlinear term admits an orthogonal…
Markov Chains and Random Walks with Memory on Hypergraphs: A Tensor-Based Approach
Shaoxuan Cui, Lingfei Wang, Hildeberto Jardon-Kojakhmetov +2
Many complex systems exhibit interactions that depend not only on pairwise connections, but also group structures and memory effects. To capture such effects, we develop a unified…
On Tensor-based Polynomial Hamiltonian Systems
Shaoxuan Cui, Guofeng Zhang, Hildeberto Jardon-Kojakhmetov +1
It is known that a linear system with a system matrix A constitutes a Hamiltonian system with a quadratic Hamiltonian if and only if A is a Hamiltonian matrix. This provides a stra…
Higher-order Laplacian dynamics on hypergraphs with cooperative and antagonistic interactions
Shaoxuan Cui, Chencheng Zhang, Bin Jiang +2
Laplacian dynamics on a signless graph characterize a class of linear interactions, where pairwise cooperative interactions between all agents lead to the convergence to a common s…
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…
General SIS diffusion process with indirect spreading pathways on a hypergraph
Shaoxuan Cui, Fangzhou Liu, Hildeberto Jardón-Kojakhmetov +1
While conventional graphs only characterize pairwise interactions, higher-order networks (hypergraph, simplicial complex) capture multi-body interactions, which is a potentially mo…
Discrete-time Layered-network Epidemics Model with Time-varying Transition Rates and Multiple Resources
Shaoxuan Cui, Fangzhou Liu, Hildeberto Jardón-Kojakhmetov +1
This paper studies a discrete-time time-varying multi-layer networked SIWS (susceptible-infected-water-susceptible) model with multiple resources under both single-virus and compet…
Interplay Between Homophily-Based Appraisal Dynamics and Influence-Based Opinion Dynamics: Modeling and Analysis
Fangzhou Liu, Shaoxuan Cui, Wenjun Mei +2
In social systems, the evolution of interpersonal appraisals and individual opinions are not independent processes but intertwine with each other. Despite extensive studies on both…
On the Stability of the Endemic Equilibrium of A Discrete-Time Networked Epidemic Model
Fangzhou Liu, Shaoxuan Cui, Xianwei Li +1
Networked epidemic models have been widely adopted to describe propagation phenomena. The endemic equilibrium of these models is of great significance in the field of viral marketi…