Author

Zi-Qian Li

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Preprint Sep 2026

Geometric and functional mixing by 2D stationary incompressible flows

We study quantitative mixing and deformation of sets and curves for a class of two-dimensional autonomous Hamiltonian flows with finitely many critical points satisfying local conditions that allow finite-order degeneracy. Variation of the period across neighboring trajectories generates transverse shear, providing a c...

Wei-Wei Hu, Zi-Qian Li, Yu-Biao Zhang · 0 citations

Preprint Aug 2026

Long-Time Trajectory Approximation via SA-NODEs: Model Predictive and Floquet Strategies

We study the approximation of dynamical systems by semi-autonomous neural ordinary differential equations (SA-NODEs) over long time horizons. For a single network trained on the whole horizon, the available error bound deteriorates double exponentially in the horizon length. We develop two training strategies that avoi...

Zi-Qian Li, Nikolaos M. Matzakos · 0 citations