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...
Main Authors: | , , |
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Format: | Article |
Language: | English |
Published: |
American Physical Society
2023-12-01
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Series: | Physical Review Research |
Online Access: | http://doi.org/10.1103/PhysRevResearch.5.043241 |