5 citations · 15 across the 14 of their papers we have counts for
4 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…