Approximation of nearly-periodic symplectic maps via structure-preserving neural networks

Abstract A continuous-time dynamical system with parameter $$\varepsilon$$ ε is nearly-periodic if all its trajectories are periodic with nowhere-vanishing angular frequency as $$\varepsilon$$ ε approaches 0. Nearly-periodic maps are discrete-time analogues of nearly-periodic systems, defined as par...

Full description

Bibliographic Details
Main Authors: Valentin Duruisseaux, Joshua W. Burby, Qi Tang
Format: Article
Language:English
Published: Nature Portfolio 2023-05-01
Series:Scientific Reports
Online Access:https://doi.org/10.1038/s41598-023-34862-w