Orbitally but not asymptotically stable ground states for the discrete NLS

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dc.creatorCuccagna, Scipio
dc.date2008-11-17
dc.date.accessioned2026-07-07T10:18:51Z
dc.date.available2026-07-07T10:18:51Z
dc.descriptionWe consider examples of discrete nonlinear Schroedinger equations in Z admitting ground states which are orbitally but not asymptotically stable in l ^2(Z). The ground states contain internal modes which decouple from the continuous modes. The absence of leaking of energy from discrete to continues modes leads to an almost conservation and perpetual oscillation of the discrete modes. This is quite different from what is known for nonlinear Schroedinger equations in eucliedean spaces. We do not investigate connections with work on quasi periodic solutions as in M.Johansson & S.Aubry and of Bambusi & Vella
dc.identifierhttps://arxiv.org/abs/0811.2701
dc.identifierhttp://arxiv.org/abs/0811.2701
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/174331
dc.subjectAnalysis of PDEs
dc.titleOrbitally but not asymptotically stable ground states for the discrete NLS
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