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arXiv · 2104.05898

KAM theorem with large perturbation and application to network of Duffing oscillators

Xiaoping Yuan·Lu Chen·Jing Li
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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.

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Xiaoping Yuan, Lu Chen, Jing Li. 2021-04-13. KAM theorem with large perturbation and application to network of Duffing oscillators. https://arxiv.org/abs/2104.05898

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