Machine Learning Conservation Laws from Trajectories

We present AI Poincar\'e, a machine learning algorithm for auto-discovering conserved quantities using trajectory data from unknown dynamical systems. We test it on five Hamiltonian systems, including the gravitational 3-body problem, and find that it discovers not only all exactly conserved...

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Bibliographic Details
Main Authors: Liu, Ziming, Tegmark, Max
Format: Article
Language:English
Published: American Physical Society (APS) 2022
Online Access:https://hdl.handle.net/1721.1/142231