Stability Properties in Hamiltonian Perturbations of Resonant Pde's with Symmetry: the Case of Nls1
نویسنده
چکیده
In this paper we present some stability results for Hamiltonian PDE's which have an exact symmetry, and are perturbations of a linear resonant system. We also give an application to the nonlinear Schrr odinger equation constructing innnitely many families of periodical orbits, one of which is orbitally stable, and innnitely many families of \approximatively invariant" 2-dimensional tori, which are stable over very long times.
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