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Sistemi dinamici nonlineari e applicazioni

There is Only One KAM Curve (joint work with C.Carminati and S.Marmi)

speaker: David Sauzin (CNRS)

abstract: Consider a near-integrable symplectic map on the cylinder (R/Z)xR like the standard family

(x,y) -> ( x + y + k f(x), y + k f(x) )

(where f is any real analytic periodic function with zero mean, k is a small parameter) and the corresponding KAM curves: inspired by Kolmogorov, Arnold and Herman, we show that, instead of viewing these invariant curves as separate objects, each of which having its own Diophantine frequency, one can encode them in a single "monogenic" "quasi-analytic" function of the frequency.

timetable:
Fri 18 Feb, 10:30 - 11:00, Aula Bianchi Scienze
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