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arXiv · 2312.08944

What's Next? Predicting Hamiltonian Dynamics from Discrete Observations of a Vector Field

Zi-Yu Khoo·Delong Zhang·Stéphane Bressan
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Abstract

We present several methods for predicting the dynamics of Hamiltonian systems from discrete observations of their vector field. Each method is either informed or uninformed of the Hamiltonian property. We empirically and comparatively evaluate the methods and observe that information that the system is Hamiltonian can be effectively informed, and that different methods strike different trade-offs between efficiency and effectiveness for different dynamical systems.

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Zi-Yu Khoo, Delong Zhang, Stéphane Bressan. 2023-12-14. What's Next? Predicting Hamiltonian Dynamics from Discrete Observations of a Vector Field. https://doi.org/10.1007/978-3-031-12426-6_27

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