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Reducibility and nonlinear stability for a quasi-periodically forced NLS

Reducibility and nonlinear stability for a quasi-periodically forced NLS

Motivated by the problem of long time stability vs. instability of KAM tori of the Nonlinear cubic Schrödinger equation (NLS) on the two dimensional torus T 2 := (R/2πZ) 2 , we consider a quasi-periodically forced NLS equation on T 2 arising from the linearization of the NLS at a …