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math.AP2023
Effective chaos for the Kirchhoff equation on tori
Pietro Baldi, Filippo Giuliani, Marcel Guardia +1
We consider the Kirchhoff equation on tori of any dimension and we construct solutions whose Sobolev norms oscillates in a chaotic way on certain long time scales. The chaoticity i…
math.AP2022★ 1 cited
Reducibility and nonlinear stability for a quasi-periodically forced NLS
Emanuele Haus, Beatrice Langella, Alberto Maspero +1
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 $\mathbb T^2:= (\mathbb R…