Orbitally but Not Asymptotically Stable Ground States for the Discrete Nls
نویسنده
چکیده
We consider examples of discrete nonlinear Schrödinger equations in Z admitting ground states which are orbitally but not asymptotically stable in l(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 Schrödinger equations in R. We do not investigate connections with work on quasi periodic solutions as in [JA,BV]. §
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