Lie-Poisson neural networks (LPNets): data-based computing of Hamiltonian systems with symmetries

DOI10.1016/j.neunet.2024.106162zbMath1547.70007MaRDI QIDQ6536105

François Gay-Balmaz, Christopher Eldred, Vakhtang Putkaradze, Sofiia Huraka

Publication date: 27 March 2024

Published in: Neural Networks (Search for Journal in Brave)

zbMATH Keywords

rigid body motionPoisson bracketlong-term evolutiondata-based modelingneural equation

Mathematics Subject Classification ID

Artificial neural networks and deep learning (68T07) Computational methods for problems pertaining to mechanics of particles and systems (70-08) Free motion of a rigid body (70E15) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33)

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