2 papers
math.DS2024
On the existence of solutions for Frenkel-Kontorova models on quasi-crystals
Jianxing Du, Xifeng Su
This article focuses on recent investigations on equilibria of the Frenkel-Kontorova models subjected to potentials generated by quasi-crystals. We present a specific one-dimension…
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…