Discovering conservation laws using optimal transport and manifold learning

Abstract Conservation laws are key theoretical and practical tools for understanding, characterizing, and modeling nonlinear dynamical systems. However, for many complex systems, the corresponding conserved quantities are difficult to identify, making it hard to analyze their dynamics and build stab...

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Bibliographic Details
Main Authors: Peter Y. Lu, Rumen Dangovski, Marin Soljačić
Format: Article
Language:English
Published: Nature Portfolio 2023-08-01
Series:Nature Communications
Online Access:https://doi.org/10.1038/s41467-023-40325-7