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20042026
most citedA KAM algorithm for the resonant non--linear Schrödinger equation

123 citations · 770 across the 37 of their papers we have counts for

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Showing 2016Show all

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math.DS2016

Finite dimensional invariant KAM tori for tame vector fields

Livia Corsi, Roberto Feola, Michela Procesi

We discuss a Nash-Moser/ KAM algorithm for the construction of invariant tori for {\em tame} vector fields. Similar algorithms have been studied widely both in finite and infinite…

math.AP2016★ 36 cited

KAM for beating solutions of the quintic NLS

Emanuele Haus, Michela Procesi

We consider the nonlinear Schrödinger equation of degree five on the circle . We prove the existence of quasi-periodic solutions which bifurcate from…