Non-existence of KAM torus

DOI10.1007/s10114-011-0631-5zbMath1209.37065OpenAlexW2102961295MaRDI QIDQ2430907

Chong-Qing Cheng

Publication date: 8 April 2011

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-011-0631-5

zbMATH Keywords

KAM theory\(\alpha \)-functionminimal invariant measure

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Nearly integrable Hamiltonian systems, KAM theory (70H08)

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Destruction of Lagrangian torus for positive definite Hamiltonian systems, On invariant tori with prescribed frequency in Hamiltonian systems, Unnamed Item, Reducibility of the quantum harmonic oscillator in d-dimensions with finitely differentiable perturbations, Destruction of invariant circles for Gevrey area-preserving twist map, On the reducibility of a class of finitely differentiable quasi-periodic linear systems, Total destruction of invariant tori for the generalized Frenkel–Kontorova model

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