KAM theorem with large perturbation and application to network of Duffing oscillators
Dynamical Systems
2021-04-14 v1
Abstract
We prove that there is an invariant torus with given Diophantine frequency vector for a class of Hamiltonian systems defined by an integrable large Hamiltonian function with a large non-autonomous Hamiltonian perturbation. As for application, we prove that a finite network of Duffing oscillators with periodic exterior forces possesses Lagrangian stability for almost all initial data.
Keywords
Cite
@article{arxiv.2104.05898,
title = {KAM theorem with large perturbation and application to network of Duffing oscillators},
author = {Xiaoping Yuan and Lu Chen and Jing Li},
journal= {arXiv preprint arXiv:2104.05898},
year = {2021}
}