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math.DS2015★ 1 cited
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…
math.DS2015★ 8 cited
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…