Classical Hamiltonian perturbation theory without secular terms or small denominators
نویسندگان
چکیده
منابع مشابه
Treating Small Denominators without Kam
where v : R/Z → R is the potential, α ∈ R \ Q is the frequency, and θ ∈ R is the phase. The most important example is given by the almost Mathieu operator, when v(x) = 2 cos(2πx). There are two classical small denominator problems associated with this model. First, in the regime of small λ , the system is close to constant coefficients and thus, it is natural to attempt to prove reducibility to...
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ژورنال
عنوان ژورنال: Physica D: Nonlinear Phenomena
سال: 1980
ISSN: 0167-2789
DOI: 10.1016/0167-2789(80)90028-7