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math.DS2011★ 1 cited
Total destruction of invariant tori for the generalized Frenkel-Kontorova model
Xifeng Su, Lin Wang
We consider generalized Frenkel-Kontorova models on higher dimensional lattices. We show that the invariant tori which are parameterized by continuous hull functions can be destroy…
math-ph2011★ 2 cited
KAM theory for quasi-periodic equilibria in 1-D quasiperiodic media
Xifeng Su, Rafael de la Llave
We consider Frenkel-Kontorova models corresponding to 1 dimensional quasicrystals. We present a KAM theory for quasi-periodic equilibria. The theorem presented has an \emph{a-poste…
math-ph2011
Percival Lagrangian approach to Aubry-Mather theory
Xifeng SU, Rafael de la Llave
We present some streamlined proofs of some of the basic results in Aubry-Mather theory (existence of quasi-periodic minimizers, multiplicity results when there are gaps among minim…