We consider skew-product systems on $T^d \times \SL(2,R)$ for Bryuno base flows close to constant coefficients, depending on a parameter, in any dimension $d$, and we prove reducibility for a large measure set of values of the parameter. The proof is based on a resummation procedure of the formal power series for the conjugation, and uses techniques of renormalisation group in quantum field theory.
Gentile, G. (2006). Resummation of perturbation series and reducibility for Bryuno skew-product flows. JOURNAL OF STATISTICAL PHYSICS, 125, 321-361 [10.1007/s10955-006-9127-6].
Resummation of perturbation series and reducibility for Bryuno skew-product flows
GENTILE, Guido
2006-01-01
Abstract
We consider skew-product systems on $T^d \times \SL(2,R)$ for Bryuno base flows close to constant coefficients, depending on a parameter, in any dimension $d$, and we prove reducibility for a large measure set of values of the parameter. The proof is based on a resummation procedure of the formal power series for the conjugation, and uses techniques of renormalisation group in quantum field theory.File in questo prodotto:
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