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- W3207552048 abstract "In the present paper, we will discuss the following non-degenerate Hamiltonian system begin{equation*} H(theta,t,I)=frac{H_0(I)}{varepsilon^{a}}+frac{P(theta,t,I)}{varepsilon^{b}}, end{equation*} where $(theta,t,I)inmathbf{{T}}^{d+1}times[1,2]^d$ ($mathbf{{T}}:=mathbf{{R}}/{2pi mathbf{Z}}$), $a,b$ are given positive constants with $a>b$, $H_0: [1,2]^drightarrow mathbf R$ is real analytic and $P: mathbf T^{d+1}times [1,2]^drightarrow mathbf R$ is $C^{ell}$ with $ell=frac{2(d+1)(5a-b+2ad)}{a-b}+mu$, $0<mull1$. We prove that if $varepsilon$ is sufficiently small, there is an invariant torus with given Diophantine frequency vector for the above Hamiltonian system. As for application, we prove that a finite network of Duffing oscillators with periodic exterior forces possesses Lagrangian stability for almost all initial data." @default.
- W3207552048 created "2021-10-25" @default.
- W3207552048 creator A5071074966 @default.
- W3207552048 date "2021-10-19" @default.
- W3207552048 modified "2023-09-26" @default.
- W3207552048 title "KAM theorem with large twist and finite smooth large perturbation" @default.
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- W3207552048 doi "https://doi.org/10.48550/arxiv.2110.10338" @default.
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