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math-ph2004★ 17 cited
Stability for quasi-periodically perturbed Hill's equations
Guido Gentile, Daniel A. Cortez, Joao C. A. Barata
We consider a perturbed Hill's equation of the form , where is real analytic and periodic, is real analytic and quasi-periodic…
math-ph2002★ 11 cited
Perturbative Analysis of Dynamical Localisation
J. C. A. Barata, D. A. Cortez
In this paper we extend previous results on convergent perturbative solutions of the Schroedinger equation of a class of periodically time-dependent two-level systems. The situatio…