1 citations · 1 across the 5 of their papers we have counts for
5 papers
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…
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…
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…
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…
Lipschitz sub-actions for locally maximal hyperbolic sets of a flow
Xifeng Su, Philippe Thieullen
Livšic theorem for flows asserts that a Lipschitz observable that has zero mean average along every periodic orbit is necessarily a coboundary, that is the Lie derivative of a Lips…