Under a tensor generalized detailed-balance condition, tensor-coupled flow-conservation systems on hypergraphs have a unique equilibrium with global asymptotic stability via an entropy Lyapunov function, plus sensitivity bounds and local ISS linking spectral gap to robustness.
Analysis of higher-order lotka-volterra models: Application of s-tensors and the polynomial complementarity problem
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A framework identifies homogeneous polynomial dynamical systems from data by directly learning low-rank tensor factors via alternating least-squares on tensor train, hierarchical Tucker, and canonical polyadic decompositions.
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Stability and Robustness of Tensor-Coupled Flow-Conservation Dynamical Systems on Hypergraphs
Under a tensor generalized detailed-balance condition, tensor-coupled flow-conservation systems on hypergraphs have a unique equilibrium with global asymptotic stability via an entropy Lyapunov function, plus sensitivity bounds and local ISS linking spectral gap to robustness.
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Data-Driven Tensor Decomposition Identification of Homogeneous Polynomial Dynamical Systems
A framework identifies homogeneous polynomial dynamical systems from data by directly learning low-rank tensor factors via alternating least-squares on tensor train, hierarchical Tucker, and canonical polyadic decompositions.