Machine-assisted discovery of integrable symplectic mappings

We present a new automated method for finding integrable symplectic maps of the plane. These dynamical systems possess a hidden symmetry associated with an existence of conserved quantities, i.e., integrals of motion. The core idea of the algorithm is based on the knowledge that the evolution of an...

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Bibliographic Details
Main Authors: T. Zolkin, Y. Kharkov, S. Nagaitsev
Format: Article
Language:English
Published: American Physical Society 2023-12-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.5.043241