Abstract
Contents Introduction § 1. The function space and the change of variables § 2. Normal form of the perturbed KdV equation § 3. Stability conditions for invariant tori § 4. The shift operator along trajectories § 5. Asymptotically stable invariant tori § 6. Behaviour of trajectories on an invariant torus § 7. Periodic solutions and invariant 2-dimensional tori § 8. Generalizations § 9. Periodic solutions and invariant tori of the non-linear Schrödinger equation § 10. Invariant tori in a system of weakly connected non-linear oscillators § 11. Bifurcation of fixed points of non-linear operators § 12. Bifurcation of invariant tori § 13. Invariant tori of the non-linear Schrödinger equation § 14. Supplement References
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