2 citations · 3 across the 3 of their papers we have counts for
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KAM theorem with large twist and finite smooth large perturbation
Lu Chen
In the present paper, we will discuss the following non-degenerate Hamiltonian system \begin{equation*} H(θ,t,I)=\frac{H_0(I)}{\varepsilon^{a}}+\frac{P(θ,t,I)}{\varepsilon^{b}}, \e…
KAM theorem with large perturbation and application to network of Duffing oscillators
Xiaoping Yuan, Lu Chen, Jing Li
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 larg…
On invariant tori in some reversible systems
Lu Chen
In the present paper, we consider the following reversible system \begin{equation*} \begin{cases} \dot{x}=ω_0+f(x,y),\\ \dot{y}=g(x,y), \end{cases} \end{equation*} where $x\in\math…
Lagrange stability for impulsive Duffing equations
Jianhua Sun, Lu Chen, Xiaoping Yuan
This work discusses the boundedness of solutions for impulsive Duffing equation with time-dependent polynomial potentials. By KAM theorem, we prove that all solutions of the Duffin…
Invariant Tori of Impulsive Duffing-Type Equations via KAM Technique
Lu Chen, Jianhua Shen
A method via the KAM technique is introduced to study the existence of invariant tori and quasiperiodic solutions for impulsive Duffing-type equations with time period 1. Basing on…