3 papers
math.DS2026
Phonon gap analysis for equilibria of perturbed almost-periodic Frenkel-Kontorova models
Yujia An, Xifeng Su
For generalized Frenkel-Kontorova models subjected to almost-periodic media, employing both the KAM method and the approach of `anti-integrable' limits, two different types of equi…
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.DS2024
KAM Theory for almost-periodic equilibria in one dimensional almost-periodic media
Yujia An, Rafael de la Llave, Xifeng Su +2
We consider one dimensional chains of interacting particles subjected to one dimensional almost-periodic media. We formulate and prove two KAM type theorems corresponding to both s…