An unstable three dimensional KAM torus for the quintic NLS

Abstract : 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.
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https://hal.archives-ouvertes.fr/hal-01977154
Contributor : Trung Nguyen <>
Submitted on : Thursday, January 10, 2019 - 3:37:36 PM
Last modification on : Saturday, January 12, 2019 - 1:20:49 AM
Long-term archiving on : Thursday, April 11, 2019 - 4:35:37 PM

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  • HAL Id : hal-01977154, version 1
  • ARXIV : 1901.03512

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

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