Machine Learning Conservation Laws from Trajectories
نویسندگان
چکیده
We present AI Poincar\'e, a machine learning algorithm for auto-discovering conserved quantities using trajectory data from unknown dynamical systems. test it on five Hamiltonian systems, including the gravitational 3-body problem, and find that discovers not only all exactly quantities, but also periodic orbits, phase transitions breakdown timescales approximate conservation laws.
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ژورنال
عنوان ژورنال: Physical Review Letters
سال: 2021
ISSN: ['1079-7114', '0031-9007', '1092-0145']
DOI: https://doi.org/10.1103/physrevlett.126.180604