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The KAM theorem with a large perturbation and application to the network of Duffing oscillators
by
Yuan, Xiaoping
, Chen, Lu
, Li, Jing
in
Applications of Mathematics
/ Duffing oscillators
/ Hamiltonian functions
/ Mathematics
/ Mathematics and Statistics
/ Oscillators
/ Perturbation
/ Toruses
2023
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The KAM theorem with a large perturbation and application to the network of Duffing oscillators
by
Yuan, Xiaoping
, Chen, Lu
, Li, Jing
in
Applications of Mathematics
/ Duffing oscillators
/ Hamiltonian functions
/ Mathematics
/ Mathematics and Statistics
/ Oscillators
/ Perturbation
/ Toruses
2023
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The KAM theorem with a large perturbation and application to the network of Duffing oscillators
Journal Article
The KAM theorem with a large perturbation and application to the network of Duffing oscillators
2023
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Overview
We prove that there is an invariant torus with the 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 external forces possesses Lagrange stability for almost all initial data.
Publisher
Science China Press,Springer Nature B.V
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