An unstable three dimensional KAM torus for the quintic NLS

Trung Nguyen (1)

1 Département de Mathématiques et Informatique - Université de Nantes

We consider the quintic nonlinear Schrödinger on the circle. By applying a Birkhoff procedure and a KAM theorem, we exihibit a three dimension invariant torus that is linearly unstable. In comparison, we also prove that two dimensional tori are always linearly stable.

Domaines: Systèmes dynamiques [math.DS]; Géométrie symplectique [math.SG]

Trung Nguyen. An unstable three dimensional KAM torus for the quintic NLS. 2019. ⟨hal-01977154⟩