2 papers
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…
math.DS2024
Singular dynamics for discrete weak K.A.M. solutions of exact twist maps
Jianxing Du, Xifeng Su
For any exact twist map and any cohomology class , let be any associated discrete weak K.A.M. solution, and we introduce an inherent Lipschitz dynamics $Σ…