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math.DS2025
Gevrey KAM equilibria for quasi-periodic long-range Frenkel-Kontorova models
Yujia An, Xifeng Su
We consider models of one-dimensional chains of non-nearest neighbor and many-body interacting particles subjected to quasi-periodic media. We extend the results in \cite{12Su&dela…
math.DS2025
Anti-integrable limits for generalized Frenkel-Kontorova models on almost-periodic media
Jianxing Du, Xifeng Su
We study the equilibrium configurations for generalized Frenkel-Kontorova models subjected to almost-periodic media. By contrast with the spirit of the KAM theory, our approach con…