66 citations · 117 across the 13 of their papers we have counts for
5 papers · 1 filter
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…
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…
Stabilization of slow-fast systems at fold points
H. Jardon-Kojakhmetov, Jacquelien M. A. Scherpen, D. del Puerto-Flores
In this document, we deal with the stabilization problem of slow-fast systems (or singularly perturbed Ordinary Differential Equations) at a non-hyperbolic point. The class of syst…