8 citations · 19 across the 18 of their papers we have counts for
4 papers · 1 filter
Convergence of discrete Aubry-Mather model in the continuous limit
Xifeng Su, Philippe Thieullen
We develop two approximation schemes for solving the cell equation and the discounted cell equation using Aubry-Mather-Fathi theory. The Hamiltonian is supposed to be Tonelli, time…
A continuous family of equilibria in ferromagnetic media are ground states
Xifeng Su, Rafael de la Llave
We show that a foliation of equilibria (a continuous family of equilibria whose graph covers all the configuration space) in ferromagnetic models are ground states. The result we p…
Resonant equilibrium configurations in quasi-periodic media: KAM theory
Rafael de la Llave, Xifeng Su, Lei Zhang
We develop an a-posteriori KAM theory for the equilibrium equations for quasi-periodic solutions in a quasi-periodic Frenkel-Kontorova model when the frequency of the solutions res…
Resonant Equilibrium configurations in quasi-periodic media: perturbative expansions
Rafael de la Llave, Xifeng Su, Lei Zhang
We consider 1-D quasi-periodic Frenkel-Kontorova models. We study the existence of equilibria whose frequency (i.e. the inverse of the density of deposited material) is resonant wi…